Emergence of quasiparticles in a doped Mott insulator
Abstract
How a Mott insulator develops into a weakly coupled metal upon doping is a central question to understanding various emergent correlated phenomena. To analyze this evolution and its connection to the high-Tc cuprates, we study the single-particle spectrum for the doped Hubbard model using cluster perturbation theory on superclusters. Starting from extremely low doping, we identify a heavily renormalized quasiparticle dispersion that immediately develops across the Fermi level, and a weakening polaronic side band at higher binding energy. The quasiparticle spectral weight roughly grows at twice the rate of doping in the low doping regime, but this rate is halved at optimal doping. In the heavily doped regime, we find both strong electron-hole asymmetry and a persistent presence of Mott spectral features. Finally, we discuss the applicability of the single-band Hubbard model to describe the evolution of nodal spectra measured by angle-resolved photoemission spectroscopy (ARPES) on the single-layer cuprate La2–xSrxCuO4 (0 ≤ x ≤ 0.15). This work benchmarks the predictive power of the Hubbard model for electronic properties of high-Tc cuprates.
- Authors:
-
- Clemson Univ., SC (United States)
- Univ. of California, Berkeley, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- Univ. of Warsaw (Poland)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Synchrotron Radiation Lightsource (SSRL)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Stanford Univ., CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
- Central Research Inst. of Electric Power Industry, Kanagawa (Japan)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Stanford Univ., CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC) and Advanced Light Source (ALS); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Stanford Synchrotron Radiation Lightsource (SSRL); Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); National Science Centre of Poland (NCN); Gordon and Betty Moore Foundation; Miller Institute for Basic Research in Science
- OSTI Identifier:
- 1763697
- Alternate Identifier(s):
- OSTI ID: 1673830
- Grant/Contract Number:
- AC02-05CH11231; AC02-76SF00515; DMR-2038011; GBMF 4305; GBMF 8691
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Communications Physics
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 1; Journal ID: ISSN 2399-3650
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Electronic properties and materials; Superconducting properties and materials
Citation Formats
Wang, Yao, He, Yu, Wohlfeld, Krzysztof, Hashimoto, Makoto, Huang, Edwin W., Lu, Donghui, Mo, Sung-Kwan, Komiya, Seiki, Jia, Chunjing, Moritz, Brian, Shen, Zhi-Xun, and Devereaux, Thomas P. Emergence of quasiparticles in a doped Mott insulator. United States: N. p., 2020.
Web. doi:10.1038/s42005-020-00480-5.
Wang, Yao, He, Yu, Wohlfeld, Krzysztof, Hashimoto, Makoto, Huang, Edwin W., Lu, Donghui, Mo, Sung-Kwan, Komiya, Seiki, Jia, Chunjing, Moritz, Brian, Shen, Zhi-Xun, & Devereaux, Thomas P. Emergence of quasiparticles in a doped Mott insulator. United States. https://doi.org/10.1038/s42005-020-00480-5
Wang, Yao, He, Yu, Wohlfeld, Krzysztof, Hashimoto, Makoto, Huang, Edwin W., Lu, Donghui, Mo, Sung-Kwan, Komiya, Seiki, Jia, Chunjing, Moritz, Brian, Shen, Zhi-Xun, and Devereaux, Thomas P. Fri .
"Emergence of quasiparticles in a doped Mott insulator". United States. https://doi.org/10.1038/s42005-020-00480-5. https://www.osti.gov/servlets/purl/1763697.
@article{osti_1763697,
title = {Emergence of quasiparticles in a doped Mott insulator},
author = {Wang, Yao and He, Yu and Wohlfeld, Krzysztof and Hashimoto, Makoto and Huang, Edwin W. and Lu, Donghui and Mo, Sung-Kwan and Komiya, Seiki and Jia, Chunjing and Moritz, Brian and Shen, Zhi-Xun and Devereaux, Thomas P.},
abstractNote = {How a Mott insulator develops into a weakly coupled metal upon doping is a central question to understanding various emergent correlated phenomena. To analyze this evolution and its connection to the high-Tc cuprates, we study the single-particle spectrum for the doped Hubbard model using cluster perturbation theory on superclusters. Starting from extremely low doping, we identify a heavily renormalized quasiparticle dispersion that immediately develops across the Fermi level, and a weakening polaronic side band at higher binding energy. The quasiparticle spectral weight roughly grows at twice the rate of doping in the low doping regime, but this rate is halved at optimal doping. In the heavily doped regime, we find both strong electron-hole asymmetry and a persistent presence of Mott spectral features. Finally, we discuss the applicability of the single-band Hubbard model to describe the evolution of nodal spectra measured by angle-resolved photoemission spectroscopy (ARPES) on the single-layer cuprate La2–xSrxCuO4 (0 ≤ x ≤ 0.15). This work benchmarks the predictive power of the Hubbard model for electronic properties of high-Tc cuprates.},
doi = {10.1038/s42005-020-00480-5},
journal = {Communications Physics},
number = 1,
volume = 3,
place = {United States},
year = {Fri Nov 13 00:00:00 EST 2020},
month = {Fri Nov 13 00:00:00 EST 2020}
}
Works referenced in this record:
High-Energy Scale Revival and Giant Kink in the Dispersion of a Cuprate Superconductor
journal, April 2007
- Xie, B. P.; Yang, K.; Shen, D. W.
- Physical Review Letters, Vol. 98, Issue 14
Imaging the impact on cuprate superconductivity of varying the interatomic distances within individual crystal unit cells
journal, February 2008
- Slezak, J. A.; Lee, J.; Wang, M.
- Proceedings of the National Academy of Sciences, Vol. 105, Issue 9
Universal High Energy Anomaly in the Angle-Resolved Photoemission Spectra of High Temperature Superconductors: Possible Evidence of Spinon and Holon Branches
journal, February 2007
- Graf, J.; Gweon, G. -H.; McElroy, K.
- Physical Review Letters, Vol. 98, Issue 6
Investigation of particle-hole asymmetry in the cuprates via electronic Raman scattering
journal, December 2011
- Moritz, B.; Johnston, S.; Devereaux, T. P.
- Physical Review B, Vol. 84, Issue 23
Influence of magnetism and correlation on the spectral properties of doped Mott insulators
journal, March 2018
- Wang, Yao; Moritz, Brian; Chen, Cheng-Chien
- Physical Review B, Vol. 97, Issue 11
Origin of the material dependence of in the single-layered cuprates
journal, February 2012
- Sakakibara, Hirofumi; Usui, Hidetomo; Kuroki, Kazuhiko
- Physical Review B, Vol. 85, Issue 6
Phase diagram and single-particle spectrum of CuO 2 high- T c layers: variational cluster approach to the three-band Hubbard model
journal, May 2009
- Arrigoni, E.; Aichhorn, M.; Daghofer, M.
- New Journal of Physics, Vol. 11, Issue 5
Spectral properties of Holstein and breathing polarons
journal, May 2006
- Slezak, C.; Macridin, A.; Sawatzky, G. A.
- Physical Review B, Vol. 73, Issue 20
Bare electron dispersion from experiment: Self-consistent self-energy analysis of photoemission data
journal, June 2005
- Kordyuk, A. A.; Borisenko, S. V.; Koitzsch, A.
- Physical Review B, Vol. 71, Issue 21
Polaronic Behavior of Undoped High- Cuprate Superconductors from Angle-Resolved Photoemission Spectra
journal, November 2005
- Rösch, O.; Gunnarsson, O.; Zhou, X. J.
- Physical Review Letters, Vol. 95, Issue 22
Neutron scattering studies on stripe phases in non-cuprate materials
journal, November 2012
- Ulbrich, Holger; Braden, Markus
- Physica C: Superconductivity, Vol. 481
Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
journal, April 2014
- Wang, Y.; Jia, C. J.; Moritz, B.
- Physical Review Letters, Vol. 112, Issue 15
ARPACK Users' Guide
book, January 1998
- Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
- Software, Environments, and Tools
Thermodynamic and Electron Diffraction Signatures of Charge and Spin Ordering in
journal, April 1996
- Ramirez, A. P.; Schiffer, P.; Cheong, S-W.
- Physical Review Letters, Vol. 76, Issue 17
Systematic doping evolution of the underlying Fermi surface of
journal, December 2006
- Yoshida, T.; Zhou, X. J.; Tanaka, K.
- Physical Review B, Vol. 74, Issue 22
Quantum Monte Carlo simulations of solids
journal, January 2001
- Foulkes, W. M. C.; Mitas, L.; Needs, R. J.
- Reviews of Modern Physics, Vol. 73, Issue 1
Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order
journal, February 2019
- He, Junfeng; Rotundu, Costel R.; Scheurer, Mathias S.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 9
Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
journal, July 2014
- Kohno, Masanori
- Physical Review B, Vol. 90, Issue 3
Spectral function in the two-dimensional Hubbard model
journal, November 1991
- Li, Qiming; Callaway, Joseph; Tan, Lun
- Physical Review B, Vol. 44, Issue 18
Asymmetry of collective excitations in electron- and hole-doped cuprate superconductors
journal, October 2014
- Lee, W. S.; Lee, J. J.; Nowadnick, E. A.
- Nature Physics, Vol. 10, Issue 11
Numerical study of the two-dimensional Hubbard model
journal, July 1989
- White, S. R.; Scalapino, D. J.; Sugar, R. L.
- Physical Review B, Vol. 40, Issue 1
Influence of apical oxygen on the extent of in-plane exchange interaction in cuprate superconductors
journal, August 2017
- Peng, Y. Y.; Dellea, G.; Minola, M.
- Nature Physics, Vol. 13, Issue 12
High-Energy Kink Observed in the Electron Dispersion of High-Temperature Cuprate Superconductors
journal, April 2007
- Valla, T.; Kidd, T. E.; Yin, W. -G.
- Physical Review Letters, Vol. 98, Issue 16
Direct Visualization of Ambipolar Mott Transition in Cuprate Planes
journal, August 2020
- Zhong, Yong; Fan, Jia-Qi; Wang, Rui-Feng
- Physical Review Letters, Vol. 125, Issue 7
Effect of strong correlations on the high energy anomaly in hole- and electron-doped high- T c superconductors
journal, September 2009
- Moritz, B.; Schmitt, F.; Meevasana, W.
- New Journal of Physics, Vol. 11, Issue 9
Evidence for an Energy Scale for Quasiparticle Dispersion in
journal, September 2000
- Bogdanov, P. V.; Lanzara, A.; Kellar, S. A.
- Physical Review Letters, Vol. 85, Issue 12
Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
journal, August 2013
- Dean, M. P. M.; Dellea, G.; Springell, R. S.
- Nature Materials, Vol. 12, Issue 11
Single-particle spectral weight of a two-dimensional Hubbard model
journal, August 1992
- Dagotto, E.; Ortolani, F.; Scalapino, D.
- Physical Review B, Vol. 46, Issue 5
Doping dependence of the electron-doped cuprate superconductors from the antiferromagnetic properties of the Hubbard model
journal, August 2005
- Yuan, Qingshan; Yuan, Feng; Ting, C. S.
- Physical Review B, Vol. 72, Issue 5
Cluster perturbation theory for Hubbard models
journal, August 2002
- Sénéchal, David; Perez, Danny; Plouffe, Dany
- Physical Review B, Vol. 66, Issue 7
High-Energy Magnetic Excitations in the Cuprate Superconductor : Towards a Unified Description of Its Electronic and Magnetic Degrees of Freedom
journal, April 2013
- Dean, M. P. M.; James, A. J. A.; Springell, R. S.
- Physical Review Letters, Vol. 110, Issue 14
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988
- Zhang, F. C.; Rice, T. M.
- Physical Review B, Vol. 37, Issue 7
Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
journal, December 2004
- Shen, K. M.; Ronning, F.; Lu, D. H.
- Physical Review Letters, Vol. 93, Issue 26
Spectral Weight of the Hubbard Model through Cluster Perturbation Theory
journal, January 2000
- Sénéchal, D.; Perez, D.; Pioro-Ladrière, M.
- Physical Review Letters, Vol. 84, Issue 3
Angle-resolved photoemission spectroscopy study of
journal, May 2014
- Vishik, I. M.; Barišić, N.; Chan, M. K.
- Physical Review B, Vol. 89, Issue 19
Spin polarons in the t - t ′- J model
journal, August 1995
- Bal/a, Jan; Oleś, Andrzej M.; Zaanen, Jan
- Physical Review B, Vol. 52, Issue 6
Incoherent strange metal sharply bounded by a critical doping in Bi2212
journal, November 2019
- Chen, Su-Di; Hashimoto, Makoto; He, Yu
- Science, Vol. 366, Issue 6469
Electron-phonon coupling in the self-consistent Born approximation of the model
journal, May 2006
- Gunnarsson, O.; Rösch, O.
- Physical Review B, Vol. 73, Issue 17
High-energy spin and charge excitations in electron-doped copper oxide superconductors
journal, April 2014
- Ishii, K.; Fujita, M.; Sasaki, T.
- Nature Communications, Vol. 5, Issue 1
Magnetic Correlations in Studied by Neutron Scattering: Possible Evidence for Stripe Phases
journal, February 2009
- Cwik, M.; Benomar, M.; Finger, T.
- Physical Review Letters, Vol. 102, Issue 5
Apex oxygen and critical temperature in copper oxide superconductors: Universal correlation with the stability of local singlets
journal, February 1991
- Ohta, Y.; Tohyama, T.; Maekawa, S.
- Physical Review B, Vol. 43, Issue 4
Charge dynamics of the antiferromagnetically ordered Mott insulator
journal, October 2016
- Han, Xing-Jie; Liu, Yu; Liu, Zhi-Yuan
- New Journal of Physics, Vol. 18, Issue 10
Density of states of doped Hubbard clusters
journal, September 1991
- Dagotto, E.; Moreo, A.; Ortolani, F.
- Physical Review Letters, Vol. 67, Issue 14
String excitations of a hole in a quantum antiferromagnet and photoelectron spectroscopy
journal, January 2007
- Manousakis, Efstratios
- Physical Review B, Vol. 75, Issue 3
Universal nodal Fermi velocity
journal, May 2003
- Zhou, X. J.; Yoshida, T.; Lanzara, A.
- Nature, Vol. 423, Issue 6938
Chemical potential shift in lightly doped to optimally doped
journal, May 2006
- Yagi, H.; Yoshida, T.; Fujimori, A.
- Physical Review B, Vol. 73, Issue 17
Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
journal, October 2010
- Fournier, D.; Levy, G.; Pennec, Y.
- Nature Physics, Vol. 6, Issue 11
Simultaneous Ordering of Holes and Spins in Ni
journal, August 1994
- Tranquada, J. M.; Buttrey, D. J.; Sachan, V.
- Physical Review Letters, Vol. 73, Issue 7
Progress and perspectives on electron-doped cuprates
journal, September 2010
- Armitage, N. P.; Fournier, P.; Greene, R. L.
- Reviews of Modern Physics, Vol. 82, Issue 3
Evidence for the Importance of Extended Coulomb Interactions and Forward Scattering in Cuprate Superconductors
journal, April 2012
- Johnston, S.; Vishik, I. M.; Lee, W. S.
- Physical Review Letters, Vol. 108, Issue 16
Anomalous transfer of spectral weight in doped strongly correlated systems
journal, August 1991
- Eskes, H.; Meinders, M. B. J.; Sawatzky, G. A.
- Physical Review Letters, Vol. 67, Issue 8
Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003
- Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
- Reviews of Modern Physics, Vol. 75, Issue 2
Spectral weight of doping-induced states in the two-dimensional Hubbard model
journal, June 2010
- Liebsch, Ansgar
- Physical Review B, Vol. 81, Issue 23
Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems
journal, May 2000
- Hettler, M. H.; Mukherjee, M.; Jarrell, M.
- Physical Review B, Vol. 61, Issue 19
Fermi surface and dynamics of the t - J model at moderate doping
journal, April 1991
- Stephan, Walter; Horsch, Peter
- Physical Review Letters, Vol. 66, Issue 17
Origin of strong dispersion in Hubbard insulators
journal, August 2015
- Wang, Y.; Wohlfeld, K.; Moritz, B.
- Physical Review B, Vol. 92, Issue 7
Tendency towards Local Spin Compensation of Holes in the High- Copper Compounds
journal, September 1988
- Eskes, H.; Sawatzky, G. A.
- Physical Review Letters, Vol. 61, Issue 12
Coupling of the Phonon to the Antinodal Electronic States of
journal, September 2004
- Cuk, T.; Baumberger, F.; Lu, D. H.
- Physical Review Letters, Vol. 93, Issue 11
Strength of correlations in electron- and hole-doped cuprates
journal, June 2010
- Weber, Cédric; Haule, Kristjan; Kotliar, Gabriel
- Nature Physics, Vol. 6, Issue 8
Anomalous high-energy dispersion in angle-resolved photoemission spectra from the insulating cuprate
journal, March 2005
- Ronning, F.; Shen, K. M.; Armitage, N. P.
- Physical Review B, Vol. 71, Issue 9
Rapid change of superconductivity and electron-phonon coupling through critical doping in Bi-2212
journal, October 2018
- He, Y.; Hashimoto, M.; Song, D.
- Science, Vol. 362, Issue 6410
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
The density-matrix renormalization group
journal, April 2005
- Schollwöck, U.
- Reviews of Modern Physics, Vol. 77, Issue 1
Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t′-t″-J model
journal, November 2004
- Tohyama, T.
- Physical Review B, Vol. 70, Issue 17
Evolution of Electronic Structure of Doped Mott Insulators: Reconstruction of Poles and Zeros of Green’s Function
journal, February 2009
- Sakai, Shiro; Motome, Yukitoshi; Imada, Masatoshi
- Physical Review Letters, Vol. 102, Issue 5
Nodal Quasiparticles and Antinodal Charge Ordering in Ca2-xNaxCuO2Cl2
journal, February 2005
- Shen, K. M.
- Science, Vol. 307, Issue 5711
Angle-resolved photoemission studies of lattice polaron formation in the cuprate
journal, February 2007
- Shen, K. M.; Ronning, F.; Meevasana, W.
- Physical Review B, Vol. 75, Issue 7
Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
journal, May 2008
- Kancharla, S. S.; Kyung, B.; Sénéchal, D.
- Physical Review B, Vol. 77, Issue 18
Paradeisos: A perfect hashing algorithm for many-body eigenvalue problems
journal, March 2018
- Jia, C. J.; Wang, Y.; Mendl, C. B.
- Computer Physics Communications, Vol. 224
Correlated electrons in high-temperature superconductors
journal, July 1994
- Dagotto, Elbio
- Reviews of Modern Physics, Vol. 66, Issue 3
Spins, stripes, and superconductivity in hole-doped cuprates
conference, January 2013
- Tranquada, John M.
- LECTURES ON THE PHYSICS OF STRONGLY CORRELATED SYSTEMS XVII: Seventeenth Training Course in the Physics of Strongly Correlated Systems, AIP Conference Proceedings
Theory of Underdoped Cuprates
journal, January 1996
- Wen, Xiao-Gang; Lee, Patrick A.
- Physical Review Letters, Vol. 76, Issue 3
Intense paramagnon excitations in a large family of high-temperature superconductors
journal, July 2011
- Le Tacon, M.; Ghiringhelli, G.; Chaloupka, J.
- Nature Physics, Vol. 7, Issue 9
Evidence for ubiquitous strong electron–phonon coupling in high-temperature superconductors
journal, August 2001
- Lanzara, A.; Bogdanov, P. V.; Zhou, X. J.
- Nature, Vol. 412, Issue 6846
Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model
journal, May 2013
- Gull, Emanuel; Parcollet, Olivier; Millis, Andrew J.
- Physical Review Letters, Vol. 110, Issue 21
Mott Transition in the Two-Dimensional Hubbard Model
journal, February 2012
- Kohno, Masanori
- Physical Review Letters, Vol. 108, Issue 7
Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006
- Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
- Reviews of Modern Physics, Vol. 78, Issue 1
Electronic states in probed by soft-x-ray absorption
journal, January 1991
- Chen, C. T.; Sette, F.; Ma, Y.
- Physical Review Letters, Vol. 66, Issue 1
Hierarchy of multiple many-body interaction scales in high-temperature superconductors
journal, May 2007
- Meevasana, W.; Zhou, X. J.; Sahrakorpi, S.
- Physical Review B, Vol. 75, Issue 17
Variational Cluster Approach to Correlated Electron Systems in Low Dimensions
journal, November 2003
- Potthoff, M.; Aichhorn, M.; Dahnken, C.
- Physical Review Letters, Vol. 91, Issue 20
Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
journal, March 2006
- Mishchenko, A. S.; Nagaosa, N.
- Physical Review B, Vol. 73, Issue 9
Colloquium : Identifying the propagating charge modes in doped Mott insulators
journal, May 2010
- Phillips, Philip
- Reviews of Modern Physics, Vol. 82, Issue 2
Spin polarons in the t - J model
journal, July 1991
- Martinez, Gerardo; Horsch, Peter
- Physical Review B, Vol. 44, Issue 1
High-Energy Kink in the Single-Particle Spectra of the Two-Dimensional Hubbard Model
journal, December 2007
- Macridin, Alexandru; Jarrell, M.; Maier, Thomas
- Physical Review Letters, Vol. 99, Issue 23
Electron-Phonon Coupling and a Polaron in the Model: From the Weak to the Strong Coupling Regime
journal, July 2004
- Mishchenko, A. S.; Nagaosa, N.
- Physical Review Letters, Vol. 93, Issue 3
Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
journal, March 2004
- Sénéchal, David; Tremblay, A. -M. S.
- Physical Review Letters, Vol. 92, Issue 12
Cluster expansion for the self-energy: A simple many-body method for interpreting the photoemission spectra of correlated Fermi systems
journal, July 1993
- Gros, Claudius; Valentí, Roser
- Physical Review B, Vol. 48, Issue 1
Erratum: Origin of strong dispersion in Hubbard insulators [Phys. Rev. B 92 , 075119 (2015)]
journal, May 2018
- Wang, Y.; Wohlfeld, K.; Moritz, B.
- Physical Review B, Vol. 97, Issue 19
Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
text, January 2010
- Gull, Emanuel; Ferrero, Michel; Parcollet, Olivier
- arXiv