Realistic magnetic thermodynamics by local quantization of a semiclassical Heisenberg model

Abstract

Classical Monte Carlo simulation of the Heisenberg model poorly describes many thermodynamic phenomena due to its neglect of the quantum nature of spins. Alternatively, we discuss how to semiclassically approach the quantum problem and demonstrate a simple method for introducing a locally approximate form of spin quantization. While the procedure underestimates magnetic short-range order, our results suggest a simple correction for recovering realistic spin–spin correlations above the critical temperature. Moreover, ensemble fluctuations are found to provide reasonably accurate thermodynamics, largely reproducing quantum mechanically calculated heat capacities and experimental magnetometry for ferromagnetic Fe and antiferromagnetic RbMnF3. Extensions of the method are proposed to address remaining inaccuracies.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 30, 2022
Source ID
10.1038/s41524-022-00875-8

Entities

People

  • Flynn Walsh
  • Lin-Wang Wang
  • Mark Asta

Organizations

  • Army Research Office
  • Office of Basic Energy Sciences

Tags

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots