Efficient Langevin Simulation of Coupled Classical Fields and Fermions

TL;DR

This paper presents a scalable Langevin simulation technique for coupled classical fields and fermions, enabling detailed studies of complex spin textures and non-equilibrium phenomena in large systems with high accuracy.

Contribution

The authors develop a novel Langevin method that efficiently simulates bilinear fermionic Hamiltonians with classical fields, suitable for large-scale and high-precision computations.

Findings

Successful simulation of non-coplanar chiral spin textures on the triangular Kondo lattice

Observation of chiral domain coarsening dynamics

Analysis of Z2 vortex annihilation processes

Abstract

We introduce an efficient Langevin method to study bilinear Fermionic Hamiltonians interacting with classical fields. Our method is suitable for very large systems and offers high accuracy. To demonstrate the method, we study complex non-coplanar chiral spin textures on the triangular Kondo lattice model. We also explore non-equilibrium mesoscale physics such as chiral domain coarsening and Z2 vortex annihilation.