Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chain
| dc.creator | Kennedy, Tom | |
| dc.date | 2003-10-27 | |
| dc.date.accessioned | 2026-07-07T06:22:00Z | |
| dc.date.available | 2026-07-07T06:22:00Z | |
| dc.description | We consider the highly anisotropic ferromagnetic spin 1/2 Heisenberg chain with periodic boundary conditions. In each sector of constant total z component of the spin, we develop convergent expansions for the lowest band of eigenvalues and eigenfunctions. These eigenstates describe droplet states in which the spins essentially form a single linear droplet which can move. Our results also give a convergent expansion for the dispersion relation, i.e., the energy of the droplet as a function of its momentum. The methods used are from math-ph/0208026 and cond-mat/0104199, and this short paper should serve as a pedagogic introduction to those papers. | |
| dc.description | submitted to the proceedings of the workshop "Low-energy states in quantum many-body systems", 29 January 2003, Cergy-Pontoise | |
| dc.identifier | https://arxiv.org/abs/math-ph/0310059 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0310059 | |
| dc.identifier | Markov Processes and Related Fields 11 , 223 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95784 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B10 (Primary) 82B20 (Secondary) | |
| dc.title | Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chain | |
| dc.type | text |