General tensor network theory for frustrated classical spin models in two dimensions
FF Song, TY Lin, GM Zhang - Physical Review B, 2023 - APS
Frustration is a ubiquitous phenomenon in many-body physics that influences the nature of
the system in a profound way with exotic emergent behavior. Despite its long research …
the system in a profound way with exotic emergent behavior. Despite its long research …
Partial lifting of degeneracy in the Ising antiferromagnet on the kagome lattice
Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the
classical J 1-J 2-J 3 Ising antiferromagnet on the kagome lattice. We establish the ground …
classical J 1-J 2-J 3 Ising antiferromagnet on the kagome lattice. We establish the ground …
Solving frustrated Ising models using tensor networks
Motivated by the recent success of tensor networks to calculate the residual entropy of spin
ice and kagome Ising models, we develop a general framework to study frustrated Ising …
ice and kagome Ising models, we develop a general framework to study frustrated Ising …
Policy-guided monte carlo: Reinforcement-learning markov chain dynamics
TA Bojesen - Physical Review E, 2018 - APS
We introduce policy-guided Monte Carlo (PGMC), a computational framework using
reinforcement learning to improve Markov chain Monte Carlo (MCMC) sampling. The …
reinforcement learning to improve Markov chain Monte Carlo (MCMC) sampling. The …
Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small farther-neighbor couplings
Despite their simple formulation, short-range classical antiferromagnetic Ising models on
frustrated lattices give rise to exotic phases of matter, in particular, due to their macroscopic …
frustrated lattices give rise to exotic phases of matter, in particular, due to their macroscopic …
Bilayer Coulomb phase of two-dimensional dimer models: Absence of power-law columnar order
Using renormalization group (RG) analyses and Monte Carlo (MC) simulations, we study the
fully packed dimer model on the bilayer square lattice with fugacity equal to z (1) for …
fully packed dimer model on the bilayer square lattice with fugacity equal to z (1) for …
Ashkin-Teller phase transition and multicritical behavior in a classical monomer-dimer model
We use Monte Carlo simulations and tensor network methods to study a classical monomer-
dimer model on the square lattice with a hole (monomer) fugacity z, an aligning dimer-dimer …
dimer model on the square lattice with a hole (monomer) fugacity z, an aligning dimer-dimer …
[PDF][PDF] Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet
We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation
in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate …
in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate …
Quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians
We present a universal parameter-free quantum Monte Carlo (QMC) algorithm designed to
simulate arbitrary spin-1/2 Hamiltonians. To ensure the convergence of the Markov chain to …
simulate arbitrary spin-1/2 Hamiltonians. To ensure the convergence of the Markov chain to …
Lifted directed-worm algorithm
H Suwa - Physical Review E, 2022 - APS
Nonreversible Markov chains can outperform reversible chains in the Markov chain Monte
Carlo method. Lifting is a versatile approach to introducing net stochastic flow in state space …
Carlo method. Lifting is a versatile approach to introducing net stochastic flow in state space …