A semi-classical approach to electron spin resonance in quantum spin systems

Abstract

We develop a semi-classical approximation to electron spin resonance in quantum spin systems, based on the rotor or non-linear sigma model. The classical time evolution is studied using molec- ular dynamics while random initial conditions are sampled using classical Monte Carlo methods. Although the approximation may be especially powerful in two dimensions, we apply it here to one- dimensional systems of large spin at intermediate temperatures, in the presence of staggered and uniform magnetic fields. We first test the validity of the semi-classical approximation by comparing the magnetization to quantum Monte Carlo results on S = 2 chains. Then we calculate the ESR spectrum, finding broad coexisting paramagnetic and spin wave resonances.

16 pages, 7 figures

References in corpus (6)

• The ALPS project release 1.3: open source software for strongly correlated systems
• The ALPS project: open source software for strongly correlated systems
• Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR spectrum of s=1/2 Antiferromagnet Cu benzoate
• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Susceptibility and Dzyaloshinskii-Moriya interaction in the Haldane gap compound NENP
• Antiferromagnetic Heisenberg ladders in a staggered magnetic field

Cited by in corpus (6)

• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Effects of magnetic anisotropy on spin and thermal transports in classical antiferromagnets on the square lattice
• Spin current as a probe of the ${\mathbb{Z}}_2$-vortex topological transition in the classical Heisenberg antiferromagnet on the triangular lattice
• Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets
• Antiferromagnetic Ordering in MnF(salen)
• Field-induced dimer orders in quantum spin chains