XXZ chain with a boundary
Abstract
The XXZ spin chain with a boundary magnetic field h is considered, using the vertex operator approach to diagonalize the hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with zero particle content. There are three distinct regions when h ⩾ 0, in which the structure of the vacuum states is different. Excited states are given by the action of vertex operators on the vacuum states. We derive the boundary Smatrix and present an integral formula for the correlation functions. The boundary magnetization exhibits boundary hysteresis. We also discuss the rational limit, the XXX model.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00062W
 arXiv:
 arXiv:hepth/9411112
 Bibcode:
 1995NuPhB.441..437J
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX 38 pages, 3 figures