Sign-problem-free fermionic quantum Monte Carlo: Developments and applications

ZX Li, H Yao - Annual Review of Condensed Matter Physics, 2019 - annualreviews.org
Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene

Y Da Liao, J Kang, CN Breiø, XY Xu, HQ Wu… - Physical Review X, 2021 - APS
Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay
between strong correlations and topological phenomena in two-dimensional systems. The …

Quantum phase transitions in Dirac fermion systems

R Boyack, H Yerzhakov, J Maciejko - The European Physical Journal …, 2021 - Springer
A key problem in the field of quantum criticality is to understand the nature of quantum phase
transitions in systems of interacting itinerant fermions, motivated by experiments on a variety …

Monte Carlo study of lattice compact quantum electrodynamics with fermionic matter: The parent state of quantum phases

XY Xu, Y Qi, L Zhang, FF Assaad, C Xu, ZY Meng - Physical Review X, 2019 - APS
The interplay between lattice gauge theories and fermionic matter accounts for fundamental
physical phenomena ranging from the deconfinement of quarks in particle physics to …

Dirac fermions with plaquette interactions. I. SU (2) phase diagram with Gross-Neveu and deconfined quantum criticalities

Y Da Liao, XY Xu, ZY Meng, Y Qi - Physical Review B, 2022 - APS
We investigate the ground state phase diagram of an extended Hubbard model with a π-flux
hop** term at half filling on a square lattice, with unbiased large-scale auxiliary-field …

Simple fermionic model of deconfined phases and phase transitions

FF Assaad, T Grover - Physical Review X, 2016 - APS
Using quantum Monte Carlo simulations, we study a series of models of fermions coupled to
quantum Ising spins on a square lattice with N flavors of fermions per site for N= 1, 2, and 3 …

Self-learning Monte Carlo method and cumulative update in fermion systems

J Liu, H Shen, Y Qi, ZY Meng, L Fu - Physical Review B, 2017 - APS
We develop the self-learning Monte Carlo (SLMC) method, a general-purpose numerical
method recently introduced to simulate many-body systems, for studying interacting fermion …

Self-learning quantum Monte Carlo method in interacting fermion systems

XY Xu, Y Qi, J Liu, L Fu, ZY Meng - Physical Review B, 2017 - APS
The self-learning Monte Carlo method is a powerful general-purpose numerical method
recently introduced to simulate many-body systems. In this work, we extend it to an …

The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code

M Bercx, F Goth, JS Hofmann, FF Assaad - SciPost Physics, 2017 - scipost.org
Abstract The Algorithms for Lattice Fermions package provides a general code for the finite
temperature auxiliary field quantum Monte Carlo algorithm. The code is engineered to be …

Valence bond orders at charge neutrality in a possible two-orbital extended hubbard model for twisted bilayer graphene

Y Da Liao, ZY Meng, XY Xu - Physical Review Letters, 2019 - APS
An extended Hubbard model on a honeycomb lattice with two orbitals per site at charge
neutrality is investigated with unbiased large-scale quantum Monte Carlo simulations. The …