TY - JOUR
T1 - XXZ chain with a boundary
AU - Jimbo, Michio
AU - Kedem, Rinat
AU - Kojima, Takeo
AU - Konno, Hitoshi
AU - Miwa, Tetsuji
PY - 1995/5/15
Y1 - 1995/5/15
N2 - 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 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.
AB - 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 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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U2 - 10.1016/0550-3213(95)00062-W
DO - 10.1016/0550-3213(95)00062-W
M3 - Article
AN - SCOPUS:0001510539
SN - 0550-3213
VL - 441
SP - 437
EP - 470
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -