Journal ArticleDOI
Partition function of the eight vertex lattice model
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In this paper, the partition function of the zero-field eight-vertices model on a square M by N lattice is calculated exactly in the limit of M, N large.About:
This article is published in Annals of Physics.The article was published on 1972-03-01. It has received 1648 citations till now. The article focuses on the topics: Vertex model & Classical XY model.read more
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Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.
TL;DR: It is shown that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions.
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Quantum inverse problem method. I
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Yang-baxter equation and representation theory: i
TL;DR: In this article, the problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered.
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The quantum method of the inverse problem and the heisenberg xyz model
TL;DR: In this article, the six-vertex model is used to generate vectors and permutation relations for a two-dimensional lattice and quantum mechanics on a chain, and the Bethe Ansatz general Bethe-Anatz method is used for the inverse problem.
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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
TL;DR: In this paper, it was shown that the hard hexagon model is a special case of this eight-vertex SOS model, in which the Boltzmann weights of the model are expressed in terms of elliptic functions of period 2K, and involve a variable parameter η.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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Residual Entropy of Square Ice
TL;DR: In this article, the problem of finding the number of ways of drawing arrows on the bonds of a square planar net so that precisely two arrows point into each vertex was studied.
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One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System
C. N. Yang,C. P. Yang +1 more
TL;DR: In this article, the ground-state energy of an infinite system is studied as a function of the magnetization of the system and the ground state energy of the lattice site.