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Author: Takano_M
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1.
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Takashi Mizokawa, Yosuke Morita, Takaaki Sudayama, Kou Takubo, Ikuya Yamada, Masaki Azuma, Mikio Takano, and Yuichi Shimakawa
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We report on a photoemssion study of A-site ordered perovskite oxides ACu3Co4O12 (A=Ca and Y) which are metallic for A=Ca and insulating for A=Y. If the Cu valence is +2 as stabilized by the square planar coordination, the Co valence for A=Ca is formally +4 and the system could be a Mott insulator while that for A=Y should be +3.75 and the system is a doped Mott insulator. The photoemission study reveals that the Cu valence for A=Ca and Y is formally +3 with the d9L configuration (L: an O 2p hole) which corresponds to the Zhang-Rice singlet state. In addition, it is found that the Co valence for A=Y is formally +3 with the low-spin d6 configuration consistent with its insulating behavior.
Phys. Rev. B 80, 125105 (2009)
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2.
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R. Schuster, S. Pyon, M. Knupfer, J. Fink, M. Azuma, M. Takano, H. Takagi, and B. Büchner
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Employing electron energy-loss spectroscopy we show that small values of doping in the system Ca2−xNaxCuO2Cl2 strongly influence the formation of charge-transfer excitons in the Cu-O plane. We find a remarkable redistribution of spectral weight between the two modes—a bound exciton and a continuum state—seen in the insulator yielding a single sharp feature for nonzero doping accompanied by a strong suppression of the dispersion. Our data may provide evidence for a prominent role of the magnetic background on the dynamics of charge-transfer excitations in underdoped cuprates.
Phys. Rev. B 79, 214517 (2009)
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3.
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Hidetoshi Morita and Mitsunori Takano
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Single protein molecules are regarded as contact networks of amino-acid residues. Relationships between the shortest path lengths and the numbers of residues within single molecules in the native structures are examined for various sized proteins. A universal scaling among proteins is obtained, which shows that the residue networks are fractal networks. This universal fractal network is characterized with three kinds of dimensions: the network topological dimension Dc≈1.9, the fractal dimension Df≈2.5, and the spectral dimension Ds≈1.3. These values are in surprisingly good coincidence with those of the three-dimensional critical percolation cluster. Hence the residue contact networks in the protein native structures belong to the universality class of the three-dimensional percolation cluster. The criticality is relevant to the ambivalence in the protein native structures, the coexistence of stability and instability, both of which are necessary for protein functions.
Phys. Rev. E 79, 020901 (2009)
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J. M. Pruneda, Jorge Íñiguez, Enric Canadell, Hiroshi Kageyama, and Mikio Takano
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We report on a first-principles study of SrFeO2, an infinite-layer oxide with Fe atoms in a perfect square-planar coordination down to essentially 0 K. Our results reveal that this striking behavior relies on the double occupation of the 3dz2 orbitals of high-spin Fe2+. Such an electronic state results from electrostatic and hybridization effects, the latter enabling a large reduction in the intra-atomic exchange splitting of the z2 electrons.
Phys. Rev. B 78, 115101 (2008)
Cited 4 times
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5.
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Hiroki Wadati, Kiyohisa Tanaka, Atsushi Fujimori, Takashi Mizokawa, Hiroshi Kumigashira, Masaharu Oshima, Shintaro Ishiwata, Masaki Azuma, and Mikio Takano
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Perovskite-type BiNiO3 is an insulating antiferromagnet in which a charge disproportionation occurs at the Bi site. La substitution for Bi suppresses the charge disproportionation and makes the system metallic, and for 0.05≤x≤0.1 a broad metal-insulator transition (MIT) occurs as a function of temperature. We have measured the temperature dependence of the photoemission and x-ray absorption (XAS) spectra of Bi1−xLaxNiO3 to investigate how the electronic structure changes across the MIT. From the Ni 2p XAS spectra of x=0.05, we found almost no change in the valence of Ni across the MIT. In the valence-band photoemission spectra, the Fermi cutoff disappeared for x=0.05 at a low temperature, whereas for x=0.1 and 0.2, it remained at all temperatures but the intensity at the Fermi level decreased gradually with decreasing temperature. Our experimental results suggest that the MIT is caused by the localization of holes in the O 2p band and that the “insulating” phase below the MIT is indeed a mixture of insulating and metallic regions.
Phys. Rev. B 76, 205123 (2007)
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6.
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J. Okamoto, T. Okane, Y. Saitoh, K. Terai, S.-I. Fujimori, Y. Muramatsu, K. Yoshii, K. Mamiya, T. Koide, A. Fujimori, Z. Fang, Y. Takeda, and M. Takano
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Ca1−xSrxRuO3, which is ferromagnetic for Sr concentration x>0.3, has been studied by x-ray magnetic circular dichroism (XMCD) in Ru 3p and O 1s core-level x-ray absorption. XMCD signals appear at x ∼ 0.3 and monotonically increase with x in the ferromagnetic phase. While the monotonic increase of the XMCD signals with x is of a typical Stoner-type, the absence of appreciable change in the spectral line shapes of both the Ru 3p and O 1s XMCD spectra indicate that the itinerant-electron ferromagnetism in Ca1−xSrxRuO3 is influenced by strong electron correlation.
Phys. Rev. B 76, 184441 (2007)
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7.
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Kumiko Hayashi and Mitsunori Takano
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In nonequilibrium steady states (NESS) far from equilibrium, it is known that the Einstein relation is violated. Then, the ratio of the diffusion coefficient to the mobility is called an effective temperature, and the physical relevance of this effective temperature has been studied in several works. Although the physical relevance is not yet completely clear, it has been found that the role of an effective temperature in NESS is indeed analogous to that of the temperature in equilibrium systems in a number of respects. In this paper, we find further evidence establishing this analogy. We employ a nonequilibrium Langevin system as a thermostat for a Hamiltonian system and find that the kinetic temperature of this Hamiltonian system is equal to the effective temperature of the thermostat.
Phys. Rev. E 76, 050104 (2007)
Cited 1 times
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H. Shiraki, T. Saito, T. Yamada, M. Tsujimoto, M. Azuma, H. Kurata, S. Isoda, M. Takano, and Y. Shimakawa
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A-site ordered perovskites CaCu3Ge4O12 and CaCu3Sn4O12, which are isostructural to antiferromagnetic CaCu3Ti4O12, were found to be ferromagnets. The special alignment of the CuO4 planes in the perovskite structure plays an important role in the magnetic properties of Cu2+ spins. Direct exchange interaction gives rise to the ferromagnetic behavior in CaCu3Ge4O12 and CaCu3Sn4O12, whereas involvement of Ti-3d orbitals produces the antiferromagnetic superexchange interaction in CaCu3Ti4O12. This finding demonstrates that either ferromagnetic or antiferromagnetic behavior can appear within the same structural framework.
Phys. Rev. B 76, 140403 (2007)
Cited 4 times
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Kazuhide Takata, Ikuya Yamada, Masaki Azuma, Mikio Takano, and Yuichi Shimakawa
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A cubic ordered perovskite BiCu3Mn4O12 has been synthesized under 6 GPa and 1000 °C. BiCu3Mn4O12 is a ferrimagnet with TC=350 K and its saturated magnetic moment is 10.5 μB∕f.u. The material showed low-resistive metallic behavior and magnetoresistance (MR) below TC. Its MR was observed over a wide temperature range, and the low-field MR reached −28% at 5 K. An electronic structure calculation revealed that it had a half-metallic nature and that the large MR observed under a low magnetic field was attributed to a spin-polarized tunneling or spin-dependent scattering effect at grain boundaries.
Phys. Rev. B 76, 024429 (2007)
Cited 3 times
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S. Ishiwata, I. Terasaki, F. Ishii, N. Nagaosa, H. Mukuda, Y. Kitaoka, T. Saito, and M. Takano
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A two-staged, uniaxial magnetoresistive effect has been discovered in SrCo6O11 having a layered hexagonal structure. Conduction electrons and localized Ising spins are in different sublattices but their interpenetration makes the conduction electrons sensitively pick up the stepwise field dependence of magnetization. The stepwise field dependence suggests two competitive interlayer interactions between ferromagnetic Ising-spin layers, i.e., a ferromagnetic nearest-layer interaction and an antiferromagnetic next-nearest-layer interaction. This oxide offers a unique opportunity to study nontrivial interplay between conduction electrons and Ising spins, the coupling of which can be finely controlled by a magnetic field of a few Tesla.
Phys. Rev. Lett. 98, 217201 (2007)
Cited 1 times
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K. M. Shen, F. Ronning, W. Meevasana, D. H. Lu, N. J. Ingle, F. Baumberger, W. S. Lee, L. L. Miller, Y. Kohsaka, M. Azuma, M. Takano, H. Takagi, and Z.-X. Shen
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To elucidate the nature of the single-particle excitations in the undoped parent cuprates, we have performed a detailed study of Ca2CuO2Cl2 using photoemission spectroscopy. The photoemission line shapes of the lower Hubbard band are found to be well-described by a polaron model. By comparing the line shape and temperature dependence of the lower Hubbard band with additional O 2p and Ca 3p states, we conclude that the dominant broadening mechanism arises from the interaction between the photohole and the lattice. The strength of this interaction was observed to be strongly anisotropic and may have important implications for the momentum dependence of the first doped hole states.
Phys. Rev. B 75, 075115 (2007)
Cited 20 times
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Şerban Smadici, Peter Abbamonte, Munetaka Taguchi, Yuhki Kohsaka, Takao Sasagawa, Masaki Azuma, Mikio Takano, and Hidenori Takagi
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Recent scanning-tunneling spectroscopy (STS) studies of the cupric oxychloride NaxCa2−xCuO2Cl2 (NCCOC) have uncovered a periodic 4a×4a density of states (DOS) modulation, termed a “checkerboard” [T. Hanaguri , Nature (London) 430, 1001 (2004)]. The periodicity of this phase is the same as that of the “stripe” charge order observed with neutron scattering in the very similar systems La1.48Nd0.4Sr0.12CuO4 (LNSCO) [J. M. Tranquada , Nature (London) 375, 561 (1995)] and La1.875Ba0.125CuO4 (LBCO) [M. Fujita , Phys. Rev. Lett. 88, 167008 (2002)]. This raises the question of whether the stripes are, in fact, actually checkerboards. Unfortunately, NCCOC samples are very small and LBCO and LNSCO samples do not cleave, so neutron and STS measurements cannot be carried out on the same system. To determine the relationship between stripes and checkers, we used resonant soft-x-ray scattering, previously applied to LBCO [P. Abbamonte , Nat. Phys. 1, 155 (2005)], to study single crystals of NCCOC. No evidence was seen for a 4a×4a DOS modulation, indicating that the checkerboard effect is not directly related to the stripe modulation in LBCO. We place an upper bound on the product of the charge amplitude and the square of the in-plane correlation length of 2.3×103 hole Å2. Our measurements suggest that the checkers in NCCOC are either glassy or are nucleated by the surface, as suggested by Brown [Phys. Rev. B 71, 224512 (2005)].
Phys. Rev. B 75, 075104 (2007)
Cited 2 times
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H. Yagi, T. Yoshida, A. Fujimori, Y. Kohsaka, M. Misawa, T. Sasagawa, H. Takagi, M. Azuma, and M. Takano
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We have deduced the chemical potential shift Δμ in the high-Tc superconductor Ca2−xNaxCuO2Cl2 (Na-CCOC) using core-level x-ray photoemission spectroscopy. The derived Δμ is rigid-band-like, and almost linear in hole concentration x, quantitatively consistent with the shift estimated from a recent angle resolved photoemission spectroscopy study. Also, Δμ in Na-CCOC is much larger than that in La2−xSrxCuO4 (LSCO) and as large as that in Bi2Sr2CaCu2O8+y. Qualitatively different behavior of Δμ between Na-CCOC and LSCO is discussed in relation to the different behaviors of charge ordering.
Phys. Rev. B 73, 172503 (2006)
Cited 11 times
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Alexei A. Belik, Masaki Azuma, Akira Matsuo, Tomoyuki Kaji, Susumu Okubo, Hitoshi Ohta, Koichi Kindo, and Mikio Takano
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Phosphate PbCu2(PO4)2 was found in the Pb-Cu-P-O system. Its structure parameters were refined by the Rietveld method using synchrotron x-ray diffraction data [space group Pccn (No. 56); Z=8; a=8.03810(10) Å, b=15.46574(14) Å, and c=10.36820(10) Å]. PbCu2(PO4)2 is isotypic with SrCu2(PO4)2. Magnetic properties of PbCu2(PO4)2 were investigated by magnetic susceptibility, magnetization up to 65 T, electron-spin resonance, and specific-heat measurements. Magnetic susceptibilities were fit by a linear four-spin cluster model, Cu1-Cu2-Cu2-Cu1 [Hamiltonian: −2J1(S1S2+S3S4)−2J2S2S3], with −2J1∕kB=97.0 K for Cu1-Cu2 and −2J2∕kB=86.5 K for Cu2-Cu2. The spin gap (Δ∕kB) estimated from the high-field magnetization was 43 K. The g values of PbCu2(PO4)2, g∕∕=2.167 and g⊥=2.222, suggest the 3z2-r2 type of the orbital ground state for Cu2+ ions. Specific heat showed that PbCu2(PO4)2 does not undergo a long-range magnetic order transition down to 0.45 K in agreement with its spin-singlet ground state.
Phys. Rev. B 73, 024429 (2006)
Cited 2 times
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15.
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I. Yamada, A. A. Belik, M. Azuma, S. Harjo, T. Kamiyama, Y. Shimakawa, and M. Takano
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An oxychloride superconductor Ca2−xCuO2Cl2 with a single CuO2 plane in the unit cell was prepared without cation substitution using high-pressure synthesis. The highest TC was 38 K, 10 K higher than that of Ca2−xNaxCuO2Cl2. Structure analysis based on synchrotron x-ray and neutron powder diffractions revealed that the Ca deficiency was the origin of the hole carrier. This compound has two structural features as compared to Ca2−xNaxCuO2Cl2; fewer defects and a shorter Cu-Cl bond length. Postannealing at 773 K led to a further increase of the TC to 43 K. This superconductor with a flat CuO2 plane might form the basis for future discussions about the factors that determine the TC of single-layer cuprates.
Phys. Rev. B 72, 224503 (2005)
Cited 5 times
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H. Wadati, M. Takizawa, T. T. Tran, K. Tanaka, T. Mizokawa, A. Fujimori, A. Chikamatsu, H. Kumigashira, M. Oshima, S. Ishiwata, M. Azuma, and M. Takano
Show Abstract
Perovskite-type BiNiO3 is an insulating antiferromagnet in which a charge disproportionation occurs at the Bi site. La substitution for Bi suppresses the charge disproportionation and makes the system metallic. We have measured the photoemission and x-ray-absorption (XAS) spectra of Bi1−xLaxNiO3 to investigate how the electronic structure changes with La doping. From Ni 2p XAS, we observed an increase of the valence of Ni from 2+ toward 3+. Combined with the core-level photoemission study, it was found that the average valence of Bi remains ∼4+ and that the Ni valence behaves as ∼(2+x)+, that is, La substitution results in a hole doping at the Ni sites. In the valence-band photoemission spectra, we observed a Fermi cutoff for x>0, consistent with the metallic behavior of the La-doped compounds. The Ni 2p XAS, Ni 2p core-level photoemission, and valence-band photoemission spectra were analyzed by configuration-interaction cluster-model calculation, and the spectral line shapes were found to be consistent with the gradual Ni2+→Ni3+ valence change.
Phys. Rev. B 72, 155103 (2005)
Cited 4 times
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W. Kobayashi, S. Ishiwata, I. Terasaki, M. Takano, I. Grigoraviciute, H. Yamauchi, and M. Karppinen
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We have measured magnetic susceptibility and resistivity of Sr1−xYxCoO3−δ (x=0.1, 0.15, 0.2, 0.215, 0.225, 0.25, 0.3, and 0.4), and found that Sr1−xYxCoO3−δ is a room temperature ferromagnet with a Curie temperature of 335 K in a narrow compositional range of 0.2⩽x⩽0.25. This is the highest transition temperature among perovskite Co oxides. The saturation magnetization for x=0.225 is 0.25 μB∕Co at 10 K, which implies that the observed ferromagnetism is a bulk effect. We attribute this ferromagnetism to a peculiar Sr∕Y ordering.
Phys. Rev. B 72, 104408 (2005)
Cited 16 times
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S. Ishiwata, M. Azuma, M. Hanawa, Y. Moritomo, Y. Ohishi, K. Kato, M. Takata, E. Nishibori, M. Sakata, I. Terasaki, and M. Takano
Show Abstract
Metal-insulator transitions strongly coupled with lattice were found in Bi1−xLaxNiO3. Synchrotron x-ray powder diffraction revealed that pressure (P∼3 GPa, T=300 K), temperature (T∼340 K, x=0.05), and La substitution (x∼0.075, T=300 K) caused the similar structural change from a triclinic (insulating) to an orthorhombic (metallic) symmetry, suggesting melting of the A-site charge disproportionation. Comparing crystal structure and physical properties with the other ANiO3 series, an electronic state of the metallic phase can be described as [A3+Ḻδ, Ni2+Ḻ1−δ], where a ligand-hole Ḻ contributes to a conductivity. We depicted a schematic P-T phase diagram of BiNiO3 including a critical point (3 GPa, 300 K) and an inhomogeneous region, which implies universality of ligand-hole dynamics in ANiO3 (A=Bi, Pr, Nd… ).
Phys. Rev. B 72, 045104 (2005)
Cited 5 times
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Y. Qiu, C. Broholm, S. Ishiwata, M. Azuma, M. Takano, R. Bewley, and W. J. Buyers
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La4Cu3MoO12 is a cluster antiferromagnet where copper spin-1∕2 trimers form a network of strongly coupled spin trimers. The magnetic properties of this material have been examined using magnetic neutron scattering. At low temperatures, excitations from the ground state are observed at 7.5(3) meV and 132.5(5) meV. An additional peak in the neutron scattering spectrum, which appears at 125.0(5) meV on heating, is ascribed to a transition between excited states. The wave vector and temperature dependence of the inelastic magnetic scattering cross section are consistent with intratrimer transitions. Magnetic neutron diffraction reveals antiferromagnetic order below TN=2.6 K with a wave vector (1/200). The ordered magnetic structure is described as intertrimer order where spin correlations within trimers are controlled by the strong intratrimer interactions. Combining the information derived from elastic and inelastic magnetic neutron scattering with group theoretical analysis, a consistent set of intratrimer interactions and ordered magnetic structures is derived. The experiment provides a simple worked example of magnetism associated with interatomic composite degrees of freedom in the extreme quantum limit.
Phys. Rev. B 71, 214439 (2005)
Cited 4 times
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Hironori K. Nakamura and Mitsunori Takano
Show Abstract
There is a controversy about the major determinants of the folding rate of small single-domain proteins. To shed light on this issue, we examined a possibility that the major determinants may change depending on temperature by conducting molecular dynamics simulations for 17 small single-domain proteins using an off-lattice Go-like model over a wide range of temperature. It was shown that the rank order of the folding rates is temperature dependent, which indicates that the major determinants are dependent on temperature. It was also found that as temperature is decreased, the correlation of the folding rate with the chain length becomes weakened, whereas that with the native topology becomes enhanced. Our simulation results, therefore, may provide a clue to reconcile the apparent controversy between the study by Plaxco based on experimental data and the previous theoretical and subsequent simulation studies: the former showed that the folding rate of two-state folders does not correlate with the chain length but correlates well with the native topology, whereas the latter showed that the folding rate does correlate with the chain length. We propose a possible scenario reconciling the controversy, explaining the reason why the correlation of the folding rate with the chain length became weakened and that with the native topology became enhanced with decreasing temperature.
Phys. Rev. E 71, 061913 (2005)
Cited 1 times
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Shankar Ghosh, N. Kamaraju, M. Seto, A. Fujimori, Y. Takeda, S. Ishiwata, S. Kawasaki, M. Azuma, M. Takano, and A. K. Sood
Show Abstract
Temperature-dependent micro-Raman studies of orthorhombic CaFeO3 and rhombohedral La0.33Sr0.67FeO3 were carried out with an aim to study the role of a lattice in the formation of the charge-disproportioned state (Fe4+→Fe5++Fe3+) below the transition temperature (Tco) of 290 and 200 K, respectively. Shell-model lattice-dynamical calculations were performed for CaFeO3 to assign the Raman modes and determine their vibrational pattern. The temperature dependence of the peak positions and the peak widths of various modes for both systems show distinct changes across their respective transition temperatures. In CaFeO3, the symmetric-stretching mode at 707 cm−1 splits into two modes, 707 cm−1 and 684 cm−1, corresponding to the breathing-type distortion of the FeO6 octahedra. In comparison, the spectral feature at 704 cm−1 in La0.33Sr0.67FeO3, which has been assigned to the Raman-forbidden symmetric-stretching mode, disappears below Tco. These observations indicate the presence of finite Jahn-Teller distortions of the FeO6 octahedra in CaFeO3 in the entire temperature range, whereas these distortions are present only above Tco in La0.33Sr0.67FeO3. Two modes at 307 cm−1 and 380 cm−1 in La0.33Sr0.67FeO3 approach each other at Tco, indicating a reduction of rhombohedral distortions below Tco.
Phys. Rev. B 71, 245110 (2005)
Cited 5 times
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M. Matsuda, K. Kakurai, A. A. Belik, M. Azuma, M. Takano, and M. Fujita
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Inelastic neutron-scattering experiments were performed on A3Cu3(PO4)4 (A=Ca, Sr, and Pb), which consists of one-dimensional array of linear copper spin trimers. It was found that the magnetic excitations are well described by the linear Heisenberg antiferromagnetic spin trimer model, in which the main interaction is the nearest-neighbor intratrimer interaction and the weak next-nearest-neighbor intratrimer and intertrimer interactions are expected. The intratrimer coupling constants are determined to be 9.45(3), 10.04(3), and 9.13(2) meV for A3Cu3(PO4)4 with A=Ca, Sr, and Pb, respectively. The other interactions were found to be very small.
Phys. Rev. B 71, 144411 (2005)
Cited 8 times
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23.
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J. Okamoto, K. Mamiya, S.-I. Fujimori, T. Okane, Y. Saitoh, Y. Muramatsu, K. Yoshii, A. Fujimori, A. Tanaka, M. Abbate, T. Koide, S. Ishiwata, S. Kawasaki, and M. Takano
Show Abstract
The antiferromagnetic-to-ferromagnetic transition in SrFe1−xCoxO3 (xc≃0.15) induced by Co doping has been studied by magnetic circular x-ray dichroism. The orbital and spin magnetic moments of the Fe and Co 3d states under the magenetic field of 2 T are found to show different x dependences: The spin polarization of Fe 3d gradually increases with Co concentration; on the other hand, a large spin polarization of Co 3d is induced already in the antiferromagnetic phase, indicating that the Co moment is nearly fully alligned already in the antiferromagnetic phase. This suggests that the alignment of the Fe magnetic moment in SrFe1−xCoxO3 is induced by interaction with doped Co magnetic moment. Possible formation of ferromagnetic Co rich region is discussed.
Phys. Rev. B 71, 104401 (2005)
Cited 5 times
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A. Kaminski, H. M. Fretwell, M. R. Norman, M. Randeria, S. Rosenkranz, U. Chatterjee, J. C. Campuzano, J. Mesot, T. Sato, T. Takahashi, T. Terashima, M. Takano, K. Kadowaki, Z. Z. Li, and H. Raffy
Show Abstract
We examine the momentum and energy dependence of the scattering rate of the high-temperature cuprate superconductors using angle-resolved photoemission spectroscopy. The scattering rate is of the form a+bω around the Fermi surface for under-and optimal doping. The inelastic coefficient b is found to be isotropic. The elastic term a, however, is found to be highly anisotropic for under-and optimally doped samples, with an anisotropy which correlates with that of the pseudogap. This is contrasted with heavily overdoped samples, which show an isotropic scattering rate and an absence of the pseudogap above Tc. We find this to be a generic property for both single-and double-layer compounds.
Phys. Rev. B 71, 014517 (2005)
Cited 29 times
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25.
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K. M. Shen, F. Ronning, D. H. Lu, W. S. Lee, N. J. Ingle, W. Meevasana, F. Baumberger, A. Damascelli, N. P. Armitage, L. L. Miller, Y. Kohsaka, M. Azuma, M. Takano, H. Takagi, and Z.-X. Shen
Show Abstract
The evolution of Ca2-xNaxCuO2Cl2 from Mott insulator to superconductor was studied using angle-resolved photoemission spectroscopy. By measuring both the excitations near the Fermi energy as well as nonbonding states, we tracked the doping dependence of the electronic structure and the chemical potential with unprecedented precision. Our work reveals failures in the standard weakly interacting quasiparticle scenario, including the broad line shapes of the insulator and the apparently paradoxical shift of the chemical potential within the Mott gap. To resolve this, we develop a model where the quasiparticle is vanishingly small at half filling and grows upon doping, allowing us to unify properties such as the dispersion and Fermi wave vector with the chemical potential.
Phys. Rev. Lett. 93, 267002 (2004)
Cited 91 times
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