DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study

ORCiD logo; ; ; ;
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 2 Journal Issue: 4; Journal ID: ISSN 2643-1564
American Physical Society
Country of Publication:
United States

Citation Formats

Wang, Yao, Esterlis, Ilya, Shi, Tao, Cirac, J. Ignacio, and Demler, Eugene. Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study. United States: N. p., 2020. Web. doi:10.1103/PhysRevResearch.2.043258.
Wang, Yao, Esterlis, Ilya, Shi, Tao, Cirac, J. Ignacio, & Demler, Eugene. Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study. United States.
Wang, Yao, Esterlis, Ilya, Shi, Tao, Cirac, J. Ignacio, and Demler, Eugene. Thu . "Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study". United States.
title = {Zero-temperature phases of the two-dimensional Hubbard-Holstein model: A non-Gaussian exact diagonalization study},
author = {Wang, Yao and Esterlis, Ilya and Shi, Tao and Cirac, J. Ignacio and Demler, Eugene},
abstractNote = {},
doi = {10.1103/PhysRevResearch.2.043258},
journal = {Physical Review Research},
number = 4,
volume = 2,
place = {United States},
year = {2020},
month = {11}

Works referenced in this record:

Interplay of electron–lattice interactions and superconductivity in Bi2Sr2CaCu2O8+δ
journal, August 2006

Holstein polaron
journal, July 1999

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

Peierls-insulator Mott-insulator transition in 1D
journal, March 2002

Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications
journal, March 2018

Solving Quantum Impurity Problems in and out of Equilibrium with the Variational Approach
journal, July 2018

Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
journal, January 2016

Strongly Correlated Fermions after a Quantum Quench
journal, May 2007

Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
journal, December 2015

Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
journal, June 2017

Studies of polaron motion
journal, November 1959

Optical absorption and single-particle excitations in the two-dimensional Holstein t J model
journal, August 1998

The Hubbard–Holstein Model with Anharmonic Phonons in One Dimension
journal, April 2004

  • Chatterjee, Ashok; Takada, Yasutami
  • Journal of the Physical Society of Japan, Vol. 73, Issue 4
  • DOI: 10.1143/JPSJ.73.964

Phase diagram of the two-dimensional Hubbard-Holstein model
journal, May 2020

Variational principle for quantum impurity systems in and out of equilibrium: Application to Kondo problems
journal, July 2018

Continuous-time Monte Carlo methods for quantum impurity models
journal, May 2011

  • Gull, Emanuel; Millis, Andrew J.; Lichtenstein, Alexander I.
  • Reviews of Modern Physics, Vol. 83, Issue 2
  • DOI: 10.1103/RevModPhys.83.349

Using Nonequilibrium Dynamics to Probe Competing Orders in a Mott-Peierls System
journal, February 2016

Gaussian time-dependent variational principle for the Bose-Hubbard model
journal, September 2019

Persistent current in a correlated quantum ring with electron-phonon interaction in the presence of Rashba interaction and Aharonov-Bohm flux
journal, February 2016

  • Monisha, P. J.; Sankar, I. V.; Sil, Shreekantha
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep20056

Interplay Between Electron-Phonon Interaction and Hubbard Repulsion: an Exact Approach
journal, January 2015

  • Nath, S.; Mondal, N. S.; Ghosh, N. K.
  • Journal of Superconductivity and Novel Magnetism, Vol. 28, Issue 6
  • DOI: 10.1007/s10948-015-2957-1

Electron–phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductors
journal, April 2006

Phonon-Mediated Electron–Phonon Interaction in Hubbard–Holstein Model
journal, October 2015

Density matrix formulation for quantum renormalization groups
journal, November 1992

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

Polaron formation and hopping conductivity in the Holstein-Hubbard model
journal, March 1994

  • Fehske, H.; Ihle, D.; Loos, J.
  • Zeitschrift f�r Physik B Condensed Matter, Vol. 94, Issue 1-2
  • DOI: 10.1007/BF01307659

Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
journal, December 2004

Study of supersolidity in the two-dimensional Hubbard–Holstein model
journal, September 2018

  • Ghosh, Amrita; Kar, Satyaki; Yarlagadda, Sudhakar
  • The European Physical Journal B, Vol. 91, Issue 9
  • DOI: 10.1140/epjb/e2018-90350-y

Phonon Effects on Spin-Charge Separation in One Dimension
journal, April 2006

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

Variational cluster approximation study of the one-dimensional Holstein-Hubbard model at half filling
journal, January 2011

Phonon Dispersion and the Competition between Pairing and Charge Order
journal, May 2018

Continuous-time quantum Monte Carlo method for fermions
journal, July 2005

Self-trapping phase diagram for the strongly correlated extended Holstein-Hubbard model in two-dimensions
journal, July 2014

Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017

Competition among various charge-inhomogeneous states and d -wave superconducting state in Hubbard models on square lattices
journal, January 2018

Untwinned single crystals of Y Ba 2 Cu 3 O 7 δ : An optical investigation of the a b anisotropy
journal, June 1988

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

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

Krylov-space approach to the equilibrium and nonequilibrium single-particle Green’s function
journal, December 2011

Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t
journal, September 2019

Rapid change of superconductivity and electron-phonon coupling through critical doping in Bi-2212
journal, October 2018

Variational Approach for Many-Body Systems at Finite Temperature
journal, October 2020

Thermodynamic properties of Holstein polarons and the effects of disorder
journal, August 2008

Correlated electrons in high-temperature superconductors
journal, July 1994

Ultrafast molecular dynamics in terahertz-STM experiments: Theoretical analysis using the Anderson-Holstein model
journal, September 2020

Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors
journal, November 2017

Enhanced Superconductivity in Quasi Two-Dimensional Systems
journal, June 1986

Effects of Polaronic States in the Multiband Hubbard Model
journal, September 1994

Density matrix embedding theory for interacting electron-phonon systems
journal, August 2016

Geometry of variational methods: dynamics of closed quantum systems
journal, January 2020

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

Density waves in strongly correlated quantum chains
journal, September 2018

Optimized phonon approach for the diagonalization of electron-phonon problems
journal, July 2000

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

Hole-polaron formation in the two-dimensional Holstein t - J model: A variational Lanczos study
journal, June 1995

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

Light-Enhanced Spin Fluctuations and d -Wave Superconductivity at a Phase Boundary
journal, June 2018

Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
journal, November 2017

Electron-Phonon Coupling and a Polaron in the t J Model: From the Weak to the Strong Coupling Regime
journal, July 2004

Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1 + 1 dimensions
journal, August 2018

Dominant charge density wave correlations in the Holstein model on the half-filled square lattice
journal, October 2019