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We introduce a natural way to extend celebrated spin-cluster Monte Carlo algorithms for fast thermal lattice simulations at criticality, like Wolff, to systems in arbitrary fields, be they linear magnetic vector fields or nonlinear…

Statistical Mechanics · Physics 2018-12-12 Jaron Kent-Dobias , James P Sethna

Applied magnetic fields are an important tuning parameter for artificial spin ice (ASI) systems, as they can drive phase transitions between different magnetic ground states, or tune through regimes with high populations of emergent…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 M. Goryca , X. Zhang , J. D. Watts , C. Nisoli , C. Leighton , P. Schiffer , S. A. Crooker

We describe the study of thermodynamics of materials using replica-exchange Wang-Landau (REWL) sampling, a generic framework for massively parallel implementations of the Wang-Landau Monte Carlo method. To evaluate the performance and…

Materials Science · Physics 2014-11-18 Dilina Perera , Ying Wai Li , Markus Eisenbach , Thomas Vogel , David P. Landau

Hamiltonian Monte Carlo is typically based on the assumption of an underlying canonical symplectic structure. Numerical integrators designed for the canonical structure are incompatible with motion generated by non-canonical dynamics. These…

Machine Learning · Statistics 2020-08-20 James A. Brofos , Roy R. Lederman

Recent discovery of several van der waals magnetic material and moire magnet introduce to us an extremely challenging and revolutionary era of 2D magnetism and correlated phenomena for low dimensional material.More often the simplest spin…

Statistical Mechanics · Physics 2023-06-06 Nepal Banerjee

We develop a classical Monte Carlo algorithm based on a quasi-classical approximation for a pseudospin S=1 Hamiltonian in real space to construct a phase diagram of a model cuprate with a high Tc. A model description takes into account both…

Strongly Correlated Electrons · Physics 2021-10-25 Yu. D. Panov , A. S. Moskvin , A. A. Chikov , V. A. Ulitko

Interacting spins in quantum magnet can cooperate and exhibit exotic states like the quantum spin liquid. To explore the materialization of such intriguing states, the determination of effective spin Hamiltonian of the quantum magnet is…

Strongly Correlated Electrons · Physics 2021-09-01 Sizhuo Yu , Yuan Gao , Bin-Bin Chen , Wei Li

We introduce a constrained Monte Carlo method which allows us to traverse the phase space of a classical spin system while fixing the magnetization direction. Subsequently we show the method's capability to model the temperature dependence…

Materials Science · Physics 2013-10-22 P. Asselin , R. F. L. Evans , J. Barker , R. W. Chantrell , R. Yanes , O. Chubykalo-Fesenko , D. Hinzke , U. Nowak

The dynamics of spin-boson systems at very low temperatures has been studied using a real-time path-integral simulation technique which combines a stochastic Monte Carlo sampling over the quantum fluctuations with an exact treatment of the…

chem-ph · Physics 2009-10-22 Reinhold Egger , C. H. Mak

Recently, the family of rare-earth chalcohalides were proposed as candidate compounds to realize the Kitaev spin liquid (KSL). In the present work, we firstly propose an effective spin Hamiltonian consistents with the symmetry group of the…

Strongly Correlated Electrons · Physics 2021-09-01 Mengjie Sun , Huihang Lin , Zheng Zhang , Yanzhen Cai , Wei Ren , Jing Kang , Jianting Ji , Feng Jin , Xiaoqun Wang , Rong Yu , Qingming Zhang , Zhengxin Liu

Monte Carlo (MC) simulations are powerful computational tools for investigating thermodynamic behavior and validating analytical approaches in complex physical systems. Here we present ETHER (Efficient Tool for THermodynamics Exploration…

Strongly Correlated Electrons · Physics 2026-03-10 Mukesh Kumar Sharma

Inspired by path integral molecular dynamics, we build a spin model, in terms of spin coherent states, from which we can compute the quantum expectation values of a spin in a constant magnetic field, at finite temperature. This formulation…

Materials Science · Physics 2023-11-02 Thomas Nussle , Stam Nicolis , Joseph Barker

Thermally assisted magnetic writing is an important technology utilizing temperature dependent magnetic properties to enable orientation of a magnetic data storage medium. Using an atomistic spin model we study non-equilibrium field cooled…

Mesoscale and Nanoscale Physics · Physics 2014-09-26 R. F. L. Evans , W. J. Fan

We study the nearest-neighbor spin-ice model subjected to a magnetic field applied along the global [111] and [110] directions, focusing on the role of sample geometry in stabilizing topological phase transitions. While no Kasteleyn…

Statistical Mechanics · Physics 2026-04-30 R. A. Borzi , E. S. Loscar , S. A. Grigera

Using fermionic representation of spin degrees of freedom within the Popov-Fedotov approach we develop an algorithm for Monte Carlo sampling of skeleton Feynman diagrams for Heisenberg type models. Our scheme works without modifications for…

Strongly Correlated Electrons · Physics 2013-02-07 Sergey Kulagin , Nikolay Prokof'ev , Oleg Starykh , Boris Svistunov , Christopher N. Varney

We introduce a new method to simulate the physics of rare events. The method, an extension of the Temperature Accelerated Molecular Dynamics, comes in use when the collective variables introduced to characterize the rare events are either…

Computational Physics · Physics 2017-09-13 Giovanni Ciccotti , Simone Meloni

These lecture notes introduce quantum spin systems and several computational methods for studying their ground-state and finite-temperature properties. Symmetry-breaking and critical phenomena are first discussed in the simpler setting of…

Strongly Correlated Electrons · Physics 2015-03-17 Anders W. Sandvik

We developed a technique to determine suitable spin models for small embedded clusters of arbitrary geometry by combining the spin-cluster expansion with the relativistic disordered local moment scheme. We present results for uncovered and…

Mesoscale and Nanoscale Physics · Physics 2019-04-09 András Lászlóffy , László Udvardi , László Szunyogh

Monte Carlo simulations have boosted the numerical study of several different physical systems and in particular, the canonical ensemble has been especially useful because of the existence of easy and efficient relaxation algorithms…

Statistical Mechanics · Physics 2019-10-29 G. Palma , A. Riveros

Quantum simulation in its current state faces experimental overhead in terms of physical space and cooling. We propose boson sampling as an alternative compact synthetic platform performing at room temperature. Identifying the capability of…

Quantum Physics · Physics 2025-04-03 Anuprita V. Kulkarni , Vatsana Tiwari , Auditya Sharma , Ankur Raina