Stripe correlations in the two-dimensional Hubbard-Holstein model

Abstract

Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many experiments, however, also indicate that the cuprates have strong electron-phonon (e-ph) coupling, and it is unclear how this interaction influences stripe correlations. We study static and fluctuating stripe orders in the doped single-band Hubbard-Holstein model using zero temperature variational Monte Carlo and finite temperature determinant quantum Monte Carlo. We find that the lattice couples more strongly with the charge component of the stripes, leading to an enhancement or suppression of stripe correlations, depending on model parameters like the next-nearest-neighbor hopping $${t}^{{\prime} }$$ t ′ or phonon energy Ω. Our results help elucidate how the e-ph interaction can tip the delicate balance between stripe and superconducting correlations in the Hubbard-Holstein model with implications for our understanding of the high-Tc cuprates.

SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions

“…DQMC is an auxiliary-field QMC method [1,2], which calculates expectation values of a quantum system within the grand canonical ensemble. The method has been applied to a broad class of problems in condensed matter physics, including single- [2,[36][37][38][39][40][41][42][43][44] and multi-band Hubbard models [45][46][47][48][49][50][51], negative-U models [52][53][54][55], e-ph coupled Hamiltonians like the Holstein [56][57][58][59][60] and Su-Schrieffer-Heeger (SSH) models [61][62][63][64][65][66] and their strongly correlated counterparts [67][68][69][70], and topological systems [71][72][73][74][75][76]. It has also been used to simulate ultra-cold atom experiments [77][78]…”

A single-band model with enhanced pairing from DMRG-based downfolding of the three-band Hubbard model

“…Furthermore, in the extended t-J models (t or t = 0), superconductivity is not present on the hole-doped side [2][3][4]. The greatest delicacy appears to be associated with the superconductivity; other aspects of the models, including antiferromagnetism(AFM) as well as the presence of intertwined spin and charge order, appear to be in qualitative agreement with the cuprates [2,3,[5][6][7][8][9][10].…”