Solution of the sign problem for the half-filled Hubbard-Holstein model
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 …
phonon degrees of freedom, it is possible to define a “sign-free” path integral for the so …
Stochastic series expansion methods
AW Sandvik - arXiv preprint arXiv:1909.10591, 2019 - arxiv.org
The Stochastic Series Expansion (SSE) technique is a quantum Monte Carlo method that is
especially efficient for many quantum spin systems and boson models. It was the first …
especially efficient for many quantum spin systems and boson models. It was the first …
Nonequilibrium dynamics of deconfined quantum critical point in imaginary time
YR Shu, SK Jian, S Yin - Physical Review Letters, 2022 - APS
Deconfined quantum critical point (DQCP) characterizes a kind of exotic phase transition
beyond the usual Landau-Ginzburg-Wilson paradigm. Here we study the nonequilibrium …
beyond the usual Landau-Ginzburg-Wilson paradigm. Here we study the nonequilibrium …
Dual dynamic scaling in deconfined quantum criticality
YR Shu, S Yin - Physical Review B, 2022 - APS
Emergent symmetry is one of the characteristic phenomena in deconfined quantum critical
points (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently …
points (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently …
Universal short-time quantum critical dynamics of finite-size systems
YR Shu, S Yin, DX Yao - Physical Review B, 2017 - APS
We investigate the short-time quantum critical dynamics in the imaginary-time relaxation
processes of finite-size systems. Universal scaling behaviors exist in the imaginary-time …
processes of finite-size systems. Universal scaling behaviors exist in the imaginary-time …
Benchmark study of an auxiliary-field quantum Monte Carlo technique for the Hubbard model with shifted-discrete Hubbard-Stratonovich transformations
Within the ground-state auxiliary-field quantum Monte Carlo technique, we introduce
discrete Hubbard-Stratonovich transformations (HSTs) that are also suitable for spatially …
discrete Hubbard-Stratonovich transformations (HSTs) that are also suitable for spatially …
Multiscale Excitations in the Diluted Two-dimensional S= 1/2 Heisenberg Antiferromagnet
L Dao, H Shao, AW Sandvik - arXiv preprint arXiv:2408.06749, 2024 - arxiv.org
We study the excitation spectrum of the $ S= 1/2$ Heisenberg model on the randomly
diluted square lattice by analytic continuation of QMC data. At dilution fractions $ p= 1/16 …
diluted square lattice by analytic continuation of QMC data. At dilution fractions $ p= 1/16 …
Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
Theoretical studies of quantum phase transitions have suggested critical points with higher
symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising …
symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising …