J. Kyriakidis et D. Loss, BLOCH OSCILLATIONS OF MAGNETIC SOLITONS IN ANISOTROPIC SPIN-1 2 CHAINS/, Physical review. B, Condensed matter, 58(9), 1998, pp. 5568-5583
We study the quantum dynamics of solitonlike domain walls in anisotrop
ic spin-1/2 chains in the presence of magnetic fields. In the absence
of fields, domain walls form a Bloch band of delocalized quantum state
s while a static field applied along the easy axis localizes them into
Wannier wave packets and causes them to execute Bloch oscillations, i
.e., the domain walls oscillate along the chain with a finite Bloch fr
equency and amplitude. In the presence of the field, the Bloch band, w
ith a continuum of extended states, breaks up into the Wannier-Zeeman
ladder-a discrete set of equally spaced energy levels. We calculate th
e dynamical structure factor S-ZZ(q,omega) in the one-soliton sector a
t finite frequency, wave vector, and temperature, and find sharp peaks
at frequencies which are integer multiples of the Bloch frequency. We
further calculate the uniform magnetic susceptibility and find that i
t too exhibits peaks at the Bloch frequency. We identify several candi
date materials where these Bloch oscillations should be observable, fo
r example, via neutron-scattering measurements. For the particular com
pound CoCl2.2H(2)O we estimate the Bloch amplitude to be on the order
of a few lattice constants, and the Bloch frequency on the order of 10
0 GHz for magnetic fields in the Tesla range and at temperatures of ab
out 18 K.