Doping evolution of the electronic structure in the single-layer cuprate ${\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2\ensuremath{-}x}{\mathrm{La}}_{x}\mathrm{Cu}{\mathrm{O}}_{6+\ensuremath{\delta}}$: Comparison with other single-layer cuprates

Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 094516 – Published 24 March 2008

Abstract

We have performed angle-resolved photoemission and core-level x-ray photoemission studies of the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ (Bi2201) and revealed the doping evolution of the electronic structure from the lightly doped to optimally doped regions. We have observed the formation of the dispersive quasiparticle band, evolution of the Fermi “arc” into the Fermi surface, and the shift of the chemical potential with hole doping as in other cuprates. The doping evolution in Bi2201 is similar to that in ${Ca}_{2 - x} {Na}_{x} Cu O_{2} {Cl}_{2}$ (Na-CCOC), where a rapid chemical potential shift toward the lower Hubbard band of the parent insulator has been observed, but is quite different from that in ${La}_{2 - x} {Sr}_{x} Cu O_{4}$ (LSCO), where the chemical potential does not shift, yet the dispersive band and the Fermi arc and/or surface are formed around the Fermi level already in the lightly doped region. The (underlying) Fermi surface shape and band dispersions are quantitatively analyzed using tight-binding fit, and the deduced next-nearest-neighbor hopping integral $t^{'}$ also confirms the similarity to Na-CCOC and the difference from LSCO.

Received 27 December 2007
Corrected 28 March 2008

DOI:https://doi.org/10.1103/PhysRevB.77.094516

Corrections

28 March 2008

Erratum

Publisher's Note: Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates [Phys. Rev. B 77, 094516 (2008)]

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 139902 (2008)

Authors & Affiliations

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, and A. Fujimori

Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan

M. Kubota and K. Ono

Photon Factory, Institute of Materials Structure Science, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, 305-0801, Japan

K. Tanaka, D. H. Lu, and Z.-X. Shen

Department of Physics, Applied Physics, and Stanford Synchrotron Radiation Laboratory, Stanford University, Stanford, California 94305, USA

S. Ono

Central Research Institute of Electric Power Industry, Komae, Tokyo 201-8511, Japan

Yoichi Ando

Institute of Scientific and Industrial Research, Osaka University, Ibaraki, Osaka 567-0047, Japan

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Vol. 77, Iss. 9 — 1 March 2008

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Figure 1
(Color online) Doping dependence of the Fermi surface and underlying Fermi surface in Bi2201. [(a)–(e)] $k$ -space mapping of spectral weight at $E_{F} \pm 30 meV$ window from lightly doped to optimally doped Bi2201 measured in the second Brillouin zone (BZ). Super structures due to the Bi-O modulation are noted in the panels as SS. Blue open circles indicate the $k_{F}$ positions determined by the peak positions of MDC’s, both from the first and second BZ’s. Red curves show the results of tight-binding fit described below. (f) Doping dependence of the $k_{F}$ positions, i.e., of the (underlying) Fermi surface. (g) Doping dependence of the Fermi momentum $k_{F}$ in the nodal $(0, 0) − (π, π)$ direction. (h) Apparent doping level defined by $p_{FS} = 2 S_{FS} ∕ S_{BZ} - 1$ . $p_{FS} = p$ if Luttinger’s sum rule is fulfilled. Data for Na-CCOC (Ref. 9) and LSCO (Ref. 10) are also plotted.Reuse & Permissions
Figure 2
(Color online) Doping dependence of the ARPES spectra along the nodal $(0, 0) − (π, π)$ direction for Bi2201 in the second BZ. [(a)–(d)] Energy distribution curves (EDC’s). Thick curves show the EDC’s at $k_{F}$ . Peaks in the second derivatives of the EDC’s are marked and represent the lower Hubbard band (LHB). [(e)–(h)] Intensity plots in energy-momentum $(E − k)$ space. Black curves show the MDC peak positions and define the quasiparticle (QP) band dispersion. (i) Relative positions of the LHB and the QP band. They have been shifted vertically so that the top of the LHB’s for the different doping levels are aligned. The horizontal lines show the chemical potential $μ$ for the various doping levels. (j) Shift of the chemical potential relative to the LHB of Bi2201 and that of Na-CCOC (Ref. 19) and LSCO (Ref. 8). The plots have been shifted so that the extrapolated value to zero doping is aligned.Reuse & Permissions
Figure 3
(Color online) Core-level photoemission results for Bi2201. (a) Photoemission spectra of the $Sr 3 d$ core level from $p = 0.05$ to 0.18 for Bi2201. (b) Doping dependence of each core-level peak relative to $p = 0.05$ . (c) Chemical potential shift $Δ μ$ in Bi2201 compared with those in LSCO (Ref. 23), Bi2212 (Ref. 33), and Na-CCOC (Ref. 22).Reuse & Permissions
Figure 4
(Color online) ARPES spectra of Bi2201 along the (underlying) Fermi surface. [(a)–(d)] EDC’s along the (underlying) Fermi surface in the second BZ of Bi2201. Vertical bars show the LHB positions determined by the second derivatives of the EDC’s. (e) Shift of the LHB against the $d$ -wave function $(∣ \cos (k_{x} a) - \cos (k_{y} a) ∣ ∕ 2)$ for the lowest doping $p = 0.05$ compared with those of ${La}_{2} Cu O_{4}$ (Ref. 25), CCOC (Ref. 35), and Bi2212 (Ref. 25).Reuse & Permissions
Figure 5
(Color online) Doping dependence of the electronic structure in Bi2201 and LSCO. [(a) and (b)] Doping dependence of the tight-binding (TB) parameters and $- Δ μ ∕ t$ determined from the core-level shifts. The parameters for LSCO are taken from Refs. 18, 23. The inset to panel (a) shows the definition of $ϵ_{0}$ . [(c) and (d)] Doping dependence of the (underlying) Fermi surface shape. That for LSCO has been taken from Ref. 18. [(e) and (f)] Band dispersion from the TB fit. The TB parameters for LSCO are taken from Ref. 10. [(g) and (h)] Entire picture of the doping dependence of the electronic structure. LSCO are taken from Ref. 10. The approximate position of the upper Hubbard band (UHB) has been taken from inverse-photoemission spectra (Refs. 38, 39, 40, 41). The energy range of the TB band dispersion is shown by the orange region.Reuse & Permissions

Physical Review B

covering condensed matter and materials physics

Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 094516 – Published 24 March 2008

Abstract

Corrections

Erratum

Publisher's Note: Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates [Phys. Rev. B 77, 094516 (2008)]

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 139902 (2008)

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Physical Review B

covering condensed matter and materials physics

Doping evolution of the electronic structure in the single-layer cuprate Bi2Sr2−xLaxCuO6+δ: Comparison with other single-layer cuprates

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 094516 – Published 24 March 2008

Abstract

Corrections

Erratum

Publisher's Note: Doping evolution of the electronic structure in the single-layer cuprate Bi2Sr2−xLaxCuO6+δ: Comparison with other single-layer cuprates [Phys. Rev. B 77, 094516 (2008)]

M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Yoichi Ando

Phys. Rev. B 77, 139902 (2008)

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Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates

Publisher's Note: Doping evolution of the electronic structure in the single-layer cuprate ${Bi}_{2} {Sr}_{2 - x} {La}_{x} Cu O_{6 + δ}$ : Comparison with other single-layer cuprates [Phys. Rev. B 77, 094516 (2008)]