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

Title: Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1492467
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 99 Journal Issue: 2; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Dee, P. M., Nakatsukasa, K., Wang, Y., and Johnston, S. Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.024514.
Dee, P. M., Nakatsukasa, K., Wang, Y., & Johnston, S. Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation. United States. https://doi.org/10.1103/PhysRevB.99.024514
Dee, P. M., Nakatsukasa, K., Wang, Y., and Johnston, S. Mon . "Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation". United States. https://doi.org/10.1103/PhysRevB.99.024514.
@article{osti_1492467,
title = {Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation},
author = {Dee, P. M. and Nakatsukasa, K. and Wang, Y. and Johnston, S.},
abstractNote = {},
doi = {10.1103/PhysRevB.99.024514},
journal = {Physical Review B},
number = 2,
volume = 99,
place = {United States},
year = {Mon Jan 28 00:00:00 EST 2019},
month = {Mon Jan 28 00:00:00 EST 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.99.024514

Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Ab initio theory of superconductivity. I. Density functional formalism and approximate functionals
journal, July 2005


Superconductivity at 39 K in magnesium diboride
journal, March 2001

  • Nagamatsu, Jun; Nakagawa, Norimasa; Muranaka, Takahiro
  • Nature, Vol. 410, Issue 6824
  • DOI: 10.1038/35065039

Ab initio theory of superconductivity. II. Application to elemental metals
journal, July 2005


Variational Monte Carlo method for electron-phonon coupled systems
journal, May 2014


Two-dimensional spin-polarized fermion lattice gases
journal, July 1985

  • Gubernatis, J. E.; Scalapino, D. J.; Sugar, R. L.
  • Physical Review B, Vol. 32, Issue 1
  • DOI: 10.1103/PhysRevB.32.103

Coupled Electron-Phonon System
journal, August 1963


Superconductivity at low density near a ferroelectric quantum critical point: Doped SrTiO 3
journal, September 2018


Solving the Eliashberg equations by means ofN-point Pad� approximants
journal, November 1977

  • Vidberg, H. J.; Serene, J. W.
  • Journal of Low Temperature Physics, Vol. 29, Issue 3-4
  • DOI: 10.1007/BF00655090

Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Half-Filled Holstein Model
journal, October 2003


Effect of an electron-phonon interaction on the one-electron spectral weight of a d -wave superconductor
journal, March 2004


Vertex-corrected perturbation theory for the electron-phonon problem with nonconstant density of states
journal, November 1998


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


Ground-state properties of the two-site Hubbard–Holstein model: an exact solution
journal, September 2009


Systematic study of electron-phonon coupling to oxygen modes across the cuprates
journal, August 2010


Competition of pairing and Peierls charge-density-wave correlations in a two-dimensional electron-phonon model
journal, July 1989

  • Scalettar, R. T.; Bickers, N. E.; Scalapino, D. J.
  • Physical Review B, Vol. 40, Issue 1
  • DOI: 10.1103/PhysRevB.40.197

Charge-density-wave-gap formation in the two-dimensional Holstein model at half-filling
journal, December 1993


Nonadiabatic Superconductivity: Electron-Phonon Interaction Beyond Migdal's Theorem
journal, August 1995


Superconductivity and Charge-Density Wave Phase in the Holstein Model: a Weak Coupling Limit
journal, April 2007


Two-dimensional Hubbard-Holstein model
journal, August 1995


Electron-Phonon Interactions and Superconductivity
journal, September 1973


Electron-phonon interaction and pairing mechanism in superconducting Ca-intercalated bilayer graphene
journal, February 2016

  • Margine, E. R.; Lambert, Henry; Giustino, Feliciano
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep21414

Phonon mechanism in the most dilute superconductor n -type SrTiO 3
journal, April 2016

  • Gor’kov, Lev P.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 17
  • DOI: 10.1073/pnas.1604145113

Pairing and charge-density-wave correlations in the Holstein model at half-filling
journal, August 1990


Extraordinarily conventional
journal, August 2015


Coupling of the B 1 g Phonon to the Antinodal Electronic States of B i 2 S r 2 C a 0.92 Y 0.08 C u 2 O 8 + δ
journal, September 2004


Review of the superconducting properties of MgB 2
journal, November 2001


Quantitative reliability study of the Migdal-Eliashberg theory for strong electron-phonon coupling in superconductors
journal, November 2011


Variational Monte Carlo Study of an Interacting Electron-Phonon Model
journal, October 1997


Anisotropic Migdal-Eliashberg theory using Wannier functions
journal, January 2013


Origin of Superconductivity and Latent Charge Density Wave in NbS 2
journal, August 2017


Quasiparticle Mass Enhancement and Temperature Dependence of the Electronic Structure of Ferromagnetic SrRuO 3 Thin Films
journal, February 2013


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


Singular Quasiparticle Scattering in the Proximity of Charge Instabilities
journal, December 1995


Many-Particle Physics
book, January 1990


Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

  • Kosterlitz, J M; Thouless, D J
  • Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
  • DOI: 10.1088/0022-3719/6/7/010

Charge-density waves versus superconductivity in the Holstein model with next-nearest-neighbor hopping
journal, July 1992


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


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


Superconductivity in the metallic elements at high pressures
journal, July 2015


d x 2 y 2 symmetry and the pairing mechanism
journal, December 1996


Polaronic behavior in a weak-coupling superconductor
journal, January 2018

  • Swartz, Adrian G.; Inoue, Hisashi; Merz, Tyler A.
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 7
  • DOI: 10.1073/pnas.1713916115

Ab initio theory of magnetic-field-induced odd-frequency two-band superconductivity in MgB 2
journal, August 2015


Properties of boson-exchange superconductors
journal, October 1990


Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model
journal, October 1996


Studies of polaron motion
journal, November 1959


The dynamics of charge-density waves
journal, October 1988


The effects of non-linear electron-phonon interactions on superconductivity and charge-density-wave correlations
journal, January 2015


Exact solutions for the two-site Holstein model
journal, April 2002


Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
journal, November 2014

  • Lee, J. J.; Schmitt, F. T.; Moore, R. G.
  • Nature, Vol. 515, Issue 7526
  • DOI: 10.1038/nature13894

Algorithms for optimized maximum entropy and diagnostic tools for analytic continuation
journal, August 2016


Phase separation in the Hubbard model using the dynamical cluster approximation
journal, August 2006


Electron-phonon interactions from first principles
journal, February 2017


Perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
journal, November 2012


Dynamical mean-field theory of the small polaron
journal, August 1997


Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
journal, December 2007


Anderson Acceleration for Fixed-Point Iterations
journal, January 2011

  • Walker, Homer F.; Ni, Peng
  • SIAM Journal on Numerical Analysis, Vol. 49, Issue 4
  • DOI: 10.1137/10078356X

Transition temperature of strong-coupled superconductors reanalyzed
journal, August 1975


Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
journal, October 2007


Phonons and related crystal properties from density-functional perturbation theory
journal, July 2001

  • Baroni, Stefano; de Gironcoli, Stefano; Dal Corso, Andrea
  • Reviews of Modern Physics, Vol. 73, Issue 2
  • DOI: 10.1103/RevModPhys.73.515

Breakdown of the Migdal-Eliashberg theory: A determinant quantum Monte Carlo study
journal, April 2018


Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
journal, October 2001


The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model
journal, September 2016

  • Chandler, Carl J.; Prosko, Christian; Marsiglio, F.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep32591

Superconductivity in fullerides
journal, April 1997


Quantum Monte Carlo and variational approaches to the Holstein model
journal, January 2004

  • Hohenadler, Martin; Evertz, Hans Gerd; von der Linden, Wolfgang
  • Physical Review B, Vol. 69, Issue 2
  • DOI: 10.1103/PhysRevB.69.024301

Origin of the kink in the band dispersion of the ferromagnetic perovskite SrRuO 3 : Electron-phonon coupling
journal, March 2016


Condensation transition in the one-dimensional extended Hubbard model
journal, June 1986


Effect of Quantum Fluctuations on the Peierls Instability: A Monte Carlo Study
journal, August 1982


Superconducting Properties of M g B 2 from First Principles
journal, January 2005


Charge-density-wave and pairing susceptibilities in a two-dimensional electron-phonon model
journal, February 1991


Origin of the crossover from polarons to Fermi liquids in transition metal oxides
journal, June 2017

  • Verdi, Carla; Caruso, Fabio; Giustino, Feliciano
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15769

Phase diagram for the attractive Hubbard model in two dimensions in a conserving approximation
journal, July 2002


Intercalant and Intermolecular Phonon Assisted Superconductivity in K-Doped Picene
journal, September 2011


Theory of Superconductivity
journal, December 1957


Phonon-mediated unconventional superconductivity in strongly correlated systems
journal, June 1998


Holstein model in infinite dimensions
journal, September 1993


Vibrational spectrum and electron-phonon coupling of doped solid picene from first principles
journal, July 2011


The FeSe riddle
journal, July 2015


Holstein model in infinite dimensions at half-filling
journal, December 1998


Gap Formation and Soft Phonon Mode in the Holstein Model
journal, October 2002


The Anharmonic Electron-Phonon Problem
journal, November 1996


Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
journal, December 2014


Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996

  • Georges, Antoine; Kotliar, Gabriel; Krauth, Werner
  • Reviews of Modern Physics, Vol. 68, Issue 1
  • DOI: 10.1103/RevModPhys.68.13

EPW: Electron–phonon coupling, transport and superconducting properties using maximally localized Wannier functions
journal, December 2016


Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system
journal, August 2015

  • Drozdov, A. P.; Eremets, M. I.; Troyan, I. A.
  • Nature, Vol. 525, Issue 7567
  • DOI: 10.1038/nature14964

Type-II Dirac semimetal stabilized by electron-phonon coupling
journal, December 2017


First-principles calculation of the superconducting transition in MgB 2 within the anisotropic Eliashberg formalism
journal, July 2002


A Comparative Study on Methods for Convergence Acceleration of Iterative Vector Sequences
journal, March 1996


Exact Green’s functions for the two-site Hubbard-Holstein Hamiltonian
journal, February 2007


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


Strong-Coupling Superconductivity. I
journal, August 1966

  • Scalapino, D. J.; Schrieffer, J. R.; Wilkins, J. W.
  • Physical Review, Vol. 148, Issue 1
  • DOI: 10.1103/PhysRev.148.263

Green’s Function of a Dressed Particle
journal, July 2006


Breakdown of Migdal–Eliashberg Theory via Catastrophic Vertex Divergence at Low Phonon Frequency
journal, February 2008


Iterative Procedures for Nonlinear Integral Equations
journal, October 1965