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arXiv:nlin/0006026 · International Journal of Modern Physics A

THE MASSLESS XXZ CHAIN WITH A BOUNDARY

Takeo Kojima

Published Jan 30, 2001• 9 citations
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Abstract

We study the XXZ chain with a boundary at massless regime -1<Δ<1. We give the free field realizations of the boundary vacuum state and its dual. Using these realizations, we give the integral representations for the correlation functions.
DOI
10.1142/s0217751x01002798

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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\\geq0, 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 S-matrix and present an integral formula for the correlation functions. The boundary magnetization exhibits boundary hysteresis. We also discuss the rational limit, the \\XXX model.
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