Semiclassical mechanics of a non-integrable spin cluster

Abstract

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states caused by classical periodic orbits: in the slowly varying part of the density of states we see signs of nontrivial topology changes happening to the energy surface as the energy is varied. Also, we can explain the hierarchy of quantum energy levels near the ferromagnetic and antiferromagnetic states with EKB quantization to explain large structures and tunneling to explain small structures.

9 pages. For related works see "http://www.msc.cornell.edu/~clh/clh.html"

References in corpus (5)

• Suppression of tunneling by interference in half-integer--spin particles
• Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
• Destructive quantum interference in spin tunneling problems
• Many-Spin Interactions and Spin Excitations in Mn12
• Semiclassical eigenstates of four-sublattice antiferromagnets

Cited by in corpus (4)

• Stripes and holes in a two-dimensional model of spinless fermions and hardcore bosons
• Semiclassical Trace Formulas for Noninteracting Identical Particles
• Semiclassical spin-spin dynamics and feedback control in transport through a quantum dot
• Effective Hamiltonian and low-lying energy clustering patterns of four-sublattice antiferromagnets