591 citations · 2.3k across the 37 of their papers we have counts for
24 papers · 1 filter
Interfacing branching random walks with Metropolis sampling: constraint release in auxiliary-field quantum Monte Carlo
Zhi-Yu Xiao, Hao Shi, Shiwei Zhang
We present an approach to interface branching random walks with Markov chain Monte Carlo sampling, and to switch seamlessly between the two. The approach is discussed in the contex…
Heavy fermion representation for twisted bilayer graphene systems
Hao Shi, Xi Dai
We construct a heavy fermion representation for twisted bilayer graphene (TBG) systems. Two local orbitals (per spin/valley) are analytically found, which are exactly the maximally…
Solving 2D and 3D lattice models of correlated fermions -- combining matrix product states with mean field theory
Gunnar Bollmark, Thomas Köhler, Lorenzo Pizzino +6
Correlated electron states are at the root of many important phenomena including unconventional superconductivity (USC), where electron-pairing arises from repulsive interactions.…
Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
Hao Xu, Hao Shi, Ettore Vitali +2
We determine the spin and charge orders in the ground state of the doped two-dimensional (2D) Hubbard model in its simplest form, namely with only nearest-neighbor hopping and on-s…
Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing
Brandon Eskridge, Henry Krakauer, Hao Shi +1
We incorporate explicit, non-perturbative treatment of spin-orbit coupling into ab initio auxiliary-field quantum Monte Carlo (AFQMC) calculations. The approach allows a general co…
A Pseudo-BCS Wavefunction from Density Matrix Decomposition:Application in Auxiliary-Field Quantum Monte Carlo
Zhiyu Xiao, Hao Shi, Shiwei Zhang
We present a method to construct pseudo-BCS wave functions from the one-body density matrix. The resulting many-body wave function, which can be produced for any fermion systems, i…