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Title: Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model

Abstract

Here, we present determinant quantum Monte Carlo simulations of the hole-doped single-band Hubbard-Holstein model on a square lattice, to investigate how quasiparticles emerge when doping a Mott insulator (MI) or a Peierls insulator (PI). The MI regime at large Hubbard interaction U and small relative e-ph coupling strength λ is quickly suppressed upon doping, by drawing spectral weight from the upper Hubbard band and shifting the lower Hubbard band towards the Fermi level, leading to a metallic state with emergent quasiparticles at the Fermi level. On the other hand, the PI regime at large λ and small U persists out to relatively high doping levels. We study the evolution of the d-wave superconducting susceptibility with doping, and find that it increases with lowering temperature in a regime of intermediate values of U and λ.

Authors:
 [1];  [2];  [3];  [4];  [5];  [1]
  1. SLAC National Accelerator Lab. and Stanford Univ., Menlo Park, CA (United States)
  2. New Jersey Institute of Technology, Newark, NJ (United States)
  3. SLAC National Accelerator Lab. and Stanford Univ., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  4. The Univ. of Tennessee, Knoxville, TN (United States)
  5. SLAC National Accelerator Lab. and Stanford Univ., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1418088
Alternate Identifier(s):
OSTI ID: 1409867
Grant/Contract Number:  
AC02-05CH11231; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Mendl, C. B., Nowadnick, E. A., Huang, E. W., Johnston, S., Moritz, B., and Devereaux, T. P. Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.205141.
Mendl, C. B., Nowadnick, E. A., Huang, E. W., Johnston, S., Moritz, B., & Devereaux, T. P. Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model. United States. doi:10.1103/PhysRevB.96.205141.
Mendl, C. B., Nowadnick, E. A., Huang, E. W., Johnston, S., Moritz, B., and Devereaux, T. P. Wed . "Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model". United States. doi:10.1103/PhysRevB.96.205141. https://www.osti.gov/servlets/purl/1418088.
@article{osti_1418088,
title = {Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model},
author = {Mendl, C. B. and Nowadnick, E. A. and Huang, E. W. and Johnston, S. and Moritz, B. and Devereaux, T. P.},
abstractNote = {Here, we present determinant quantum Monte Carlo simulations of the hole-doped single-band Hubbard-Holstein model on a square lattice, to investigate how quasiparticles emerge when doping a Mott insulator (MI) or a Peierls insulator (PI). The MI regime at large Hubbard interaction U and small relative e-ph coupling strength λ is quickly suppressed upon doping, by drawing spectral weight from the upper Hubbard band and shifting the lower Hubbard band towards the Fermi level, leading to a metallic state with emergent quasiparticles at the Fermi level. On the other hand, the PI regime at large λ and small U persists out to relatively high doping levels. We study the evolution of the d-wave superconducting susceptibility with doping, and find that it increases with lowering temperature in a regime of intermediate values of U and λ.},
doi = {10.1103/PhysRevB.96.205141},
journal = {Physical Review B},
number = 20,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

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Works referenced in this record:

Bismuthates: BaBiO3 and related superconducting phases
journal, July 2015


Two-dimensional Hubbard-Holstein model
journal, August 1995


Competing interactions and symmetry breaking in the Hubbard-Holstein model
journal, April 2010


Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
journal, June 2010


Metallicity in the half-filled Holstein-Hubbard model
journal, November 2008


Intermediate Phase of the One Dimensional Half-Filled Hubbard-Holstein Model
journal, August 2005


Effect of long-range hopping on T c in a two-dimensional Hubbard-Holstein model of the cuprates
journal, August 2008


Ordered phases in the Holstein-Hubbard model: Interplay of strong Coulomb interaction and electron-phonon coupling
journal, September 2013


Deviations from Fermi-Liquid Behavior above T c in 2D Short Coherence Length Superconductors
journal, July 1995


Electron-Phonon Interaction and Antiferromagnetic Correlations
journal, July 2006


Metal-insulator transitions
journal, October 1998

  • Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
  • Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
  • DOI: 10.1103/RevModPhys.70.1039

From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015

  • Keimer, B.; Kivelson, S. A.; Norman, M. R.
  • Nature, Vol. 518, Issue 7538
  • DOI: 10.1038/nature14165

Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
journal, August 2006


A review of electron-phonon coupling seen in the high-Tc superconductors by angle-resolved photoemission studies (ARPES)
journal, January 2005


Numerical study of the two-dimensional Hubbard model
journal, July 1989


Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996


Effect of strong correlations on the high energy anomaly in hole- and electron-doped high- T c superconductors
journal, September 2009


Decrease of d -wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model
journal, July 2017


Phase Separation Close to the Density-Driven Mott Transition in the Hubbard-Holstein Model
journal, March 2004


Efficient Dynamical Mean Field Simulation of the Holstein-Hubbard Model
journal, October 2007


Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
journal, August 1995


Insights on the cuprate high energy anomaly observed in ARPES
journal, July 2010

  • Moritz, B.; Johnston, S.; Devereaux, T. P.
  • Journal of Electron Spectroscopy and Related Phenomena, Vol. 181, Issue 1
  • DOI: 10.1016/j.elspec.2010.06.001

Effect of electron correlation on phonons in a strongly coupled electron-phonon system
journal, December 1997


Lattice effects in magnetoresistive manganese perovskites
journal, March 1998


Electron-Phonon Interaction Close to a Mott Transition
journal, January 2005


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
  • DOI: 10.1038/35087518

Phonon enhancement of electronic order and negative isotope effect in the Hubbard-Holstein model on a square lattice
journal, November 2015


Interplay between electron–phonon and Coulomb interactions in cuprates
journal, January 2008


Competition Between Antiferromagnetic and Charge-Density-Wave Order in the Half-Filled Hubbard-Holstein Model
journal, December 2012


Dynamic response functions for the Holstein-Hubbard model
journal, October 2004


Charge ordering and magnetism in quarter-filled Hubbard-Holstein model
journal, October 2008


Monte Carlo calculations of coupled boson-fermion systems. I
journal, October 1981


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
  • DOI: 10.1103/RevModPhys.78.17

Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
journal, April 2015


Superconductivity near 30 K without copper: the Ba0.6K0.4BiO3 perovskite
journal, April 1988

  • Cava, R. J.; Batlogg, B.; Krajewski, J. J.
  • Nature, Vol. 332, Issue 6167
  • DOI: 10.1038/332814a0

Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
journal, June 2013


Numerical study of the two-dimensional Hubbard model for various band fillings
journal, February 1990


Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling
journal, June 2007


First- and second-order phase transitions in the Holstein-Hubbard model
journal, May 2004


The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987


Electron-phonon vertex in the two-dimensional one-band Hubbard model
journal, December 2003


Dynamical Mean-Field Analysis of Ordered Phases in the Half-Filled Holstein-Hubbard Model
conference, June 2014

  • Murakami, Yuta; Werner, Philipp; Tsuji, Naoto
  • Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013)
  • DOI: 10.7566/JPSCP.3.016023

Polaronic metal in lightly doped high-T c cuprates
journal, August 2011


Attractive and repulsive pairing interaction vertices for the two-dimensional Hubbard model
journal, January 1989