Local state probabilities for solvable restricted solid-on-solid models:A
n,D
n,D
n
(1)
, andA
n
(1) |
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Authors: | Atsuo Kuniba Tetsu Yajima |
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Institution: | (1) Institute of Physics, College of Arts and Sciences, University of Tokyo, Meguro-ku, 153 Tokyo, Japan |
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Abstract: | The local state probabilities (LSPs) are exactly computed for four hierarchies of solvable lattice models. They are restricted solid-on-solid (RSOS) models whose local states and their adjacent conditions are specified by Dinkin diagrams of typesA
n,D
n,D
n
(1)
andA
n
(1)
. The LSPs are expressed in terms of modular functions characterized by branching identities among the theta functions. Their automorphic properties are used to study the critical behaviors. Some fine structures are found in the spectrum of the critical exponents. |
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Keywords: | Statistical mechanics solid-on-solid models star-triangle relation local state probability modular function branching coefficient |
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