The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Twenty years of auxiliary-field quantum Monte Carlo in quantum chemistry: An overview and assessment on main group chemistry and bond-breaking

J Lee, HQ Pham, DR Reichman - Journal of Chemical Theory and …, 2022 - ACS Publications
In this work, we present an overview of the phaseless auxiliary-field quantum Monte Carlo
(ph-AFQMC) approach from a computational quantum chemistry perspective and present a …

Thickness dependent electronic properties of Pt dichalcogenides

RAB Villaos, CP Crisostomo, ZQ Huang… - npj 2D Materials and …, 2019 - nature.com
Platinum-based transition metal dichalcogenides have been gaining renewed interest
because of the development of a new method to synthesize thin film structures. Here, using …

Absence of a spin liquid phase in the Hubbard model on the honeycomb lattice

S Sorella, Y Otsuka, S Yunoki - Scientific reports, 2012 - nature.com
A spin liquid is a novel quantum state of matter with no conventional order parameter where
a finite charge gap exists even though the band theory would predict metallic behavior …

Extended van Hove singularity and superconducting instability in doped graphene

JL McChesney, A Bostwick, T Ohta, T Seyller, K Horn… - Physical review …, 2010 - APS
We have investigated the effects of doping on a single layer of graphene using angle-
resolved photoemission spectroscopy. We show that many-body interactions severely warp …

Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4

Y Zhong, Z Chen, SD Chen, KJ Xu… - Proceedings of the …, 2022 - National Acad Sciences
The effect of Lifshitz transition on thermodynamics and superconductivity in hole-doped
cuprates has been heavily debated but remains an open question. In particular, an observed …

Temperature-flow renormalization group and the competition between superconductivity and ferromagnetism

C Honerkamp, M Salmhofer - Physical Review B, 2001 - APS
We derive a differential equation for the one-particle-irreducible vertex functions of
interacting fermions as a function of the temperature. Formally, these equations correspond …

Magnetic and superconducting instabilities of the hubbard model at the van hove filling

C Honerkamp, M Salmhofer - Physical Review Letters, 2001 - APS
We use a novel temperature-flow renormalization group technique to analyze magnetic and
superconducting instabilities in the two-dimensional t− t′ Hubbard model for particle …

Taming the sign problem in auxiliary-field quantum Monte Carlo using accurate wave functions

A Mahajan, S Sharma - Journal of Chemical Theory and …, 2021 - ACS Publications
We explore different ways of incorporating accurate trial wave functions into free projection
auxiliary-field quantum Monte Carlo (fp-AFQMC). States employed include coupled-cluster …

Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest-and next-nearest-neighbor hopping

PA Igoshev, MA Timirgazin, AA Katanin… - Physical Review B …, 2010 - APS
We consider the ground-state magnetic phase diagram of the two-dimensional Hubbard
model with nearest-and next-nearest-neighbor hopping in terms of electronic density and …