BERRYS PHASE AND QUANTUM DYNAMICS OF FERROMAGNETIC SOLITONS

Authors
Citation
Hb. Braun et D. Loss, BERRYS PHASE AND QUANTUM DYNAMICS OF FERROMAGNETIC SOLITONS, Physical review. B, Condensed matter, 53(6), 1996, pp. 3237-3255
Citations number
87
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
53
Issue
6
Year of publication
1996
Pages
3237 - 3255
Database
ISI
SICI code
0163-1829(1996)53:6<3237:BPAQDO>2.0.ZU;2-V
Abstract
We study spin parity effects and the quantum propagation of solitons ( Bloch walls) in quasi-one-dimensional ferromagnets. Within a coherent state path integral approach we derive a quantum field theory for nonu niform spin configurations. The effective action for the soliton posit ion is shown to contain a gauge potential due to the Berry phase and a damping term caused by the interaction between soliton and spin waves . For temperatures below the anisotropy gap this dissipation reduces t o a pure soliton mass renormalization. The quantum dynamics of the sol iton in a periodic lattice or pinning potential reveals remarkable con sequences of the Ferry phase. For half-integer spin, destructive inter ference between opposite chiralities suppresses nearest-neighbor hoppi ng. Thus the Brillouin zone is halved, and for small mixing of the chi ralities the dispersion reveals a surprising dynamical correlation. Tw o subsequent band minima belong to different chirality states of the s oliton. For integer spin the Ferry phase is inoperative and a simple t ight-binding dispersion is obtained. Finally it is shown that external fields can be used to interpolate continuously between the Bloch wall dispersions for half-integer and integer spin.