Statistical recovery of the classical spin Hamiltonian

2018/07/13 by Vinit Kumar Singh, Singh, Vinit Kumar, Jung Hoon Han +1
Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1807.04884

openalex publication_date 2018/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a simple procedure by which the interaction parameters of the classical spin Hamiltonian can be determined from the knowledge of four-point correlation functions and specific heat. The proposal is demonstrated by using the correlation and specific heat data generated by Monte Carlo method on one- and two-dimensional Ising-like models, and on the two-dimensional Heisenberg model with Dzyaloshinkii-Moriya interaction. A recipe for applying our scheme to experimental images of magnetization such as those made by magnetic force microscopy is outlined.

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