• Corpus ID: 237453676

# The two-dimensional $t$-$t^{\prime}$ Holstein model

@inproceedings{Araujo2021TheT,
title={The two-dimensional \$t\$-\$t^\{\prime\}\$ Holstein model},
author={Maykon V. Ara'ujo and Jos'e Pimentel de Lima and Sandro Sorella and Natanael C. Costa},
year={2021}
}
The competition and interplay between charge-density wave and superconductivity have become a central subject for quasi-2D compounds. Some of these materials, such as the transition-metal dichalcogenides, exhibit strong electron-phonon coupling, an interaction that may favor both phases, depending on the external parameters, such as hydrostatic pressure. In view of this, here we analyze the single-band t-t′ Holstein model in the square lattice, adding a next-nearest neighbor hopping t′ in order…

## References

SHOWING 1-10 OF 54 REFERENCES
Effect of strain on charge density wave order in the Holstein model
• Physics
Physical Review B
• 2019
We investigate charge ordering in the Holstein model in the presence of anisotropic hopping, $t_x, t_y=1-\delta, 1 + \delta$, as a model of the effect of strain on charge density wave (CDW)
Relative importance of nonlinear electron-phonon coupling and vertex corrections in the Holstein model
• Physics
• 2020
Determining the range of validity of Migdal’s approximation for electron-phonon ( e -ph) coupled systems is a long-standing problem. Many attempts to answer this question employ the Holstein
Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Physics
• 2013
We have performed numerical studies of the Hubbard-Holstein model in two dimensions using determinant quantum Monte Carlo (DQMC). Here, we present details of the method, emphasizing the treatment of
Solution of the sign problem for the half-filled Hubbard-Holstein model
• Physics
Physical Review B
• 2018
We show that, by an appropriate choice of auxiliary fields and exact integration of the phonon degrees of freedom, it is possible to define a 'sign-free' path integral for the so called
Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• Physics
Physical Review B
• 2019
We study the temperature-filling phase diagram of the single-band Holstein model in two dimensions using the self-consistent Migdal approximation, where both the electron and phonon self-energies are
Phase diagram of the two-dimensional Hubbard-Holstein model
• Physics
• 2020
The electron–electron and electron–phonon interactions play an important role in correlated materials, being key features for spin, charge and pair correlations. Thus, here we investigate their
Charge-density-wave melting in the one-dimensional Holstein model
• Physics, Materials Science
• 2020
We study the Holstein model of spinless fermions, which at half filling exhibits a quantum phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge-density-wave (CDW)
METAL-INSULATOR TRANSITION IN THE ONE-DIMENSIONAL HOLSTEIN MODEL AT HALF FILLING
• Physics
• 1999
We study the one-dimensional Holstein model with spin-$\frac{1}{2}$ electrons at half filling. Ground-state properties are calculated for long chains with great accuracy using the density-matrix
Quasiparticle properties of the nonlinear Holstein model at finite doping and temperature
• Physics
• 2015
We use determinant quantum Monte Carlo to study the single-particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional nonlinear
Localization of large polarons in the disordered Holstein model
• Physics
• 2014
We solve the disordered Holstein model via the DMRG method to investigate the combined roles of electron-phonon coupling and disorder on the localization of a single charge or exciton. The parameter