منابع مشابه
A conjecture for the superintegrable chiral Potts model
We adapt our previous results for the “partition function” of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e−αH , where H is the associated hamiltonian. The spontaneous magnetization Mr can be expressed in terms of particular matrix elements of e−αHSr 1e −βH , where S1 is a diagonal matrix. We present a conjecture for these matrix el...
متن کاملFinite-size energy levels of the superintegrable chiral Potts model
In the solution of the superintegrable chiral Potts model special polynomials related to the representation theory of the Onsager algebra play a central role. We derive approximate analytic formulae for the zeros of particular polynomials which determine sets of low-lying energy eigenvalues of the chiral Potts quantum chain. These formulae allow the analytic calculation of the leading finite-si...
متن کاملThe superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials
Finite-dimensional representations of Onsager’s algebra are characterized by the zeros of truncation polynomials. The ZN -chiral Potts quantum chain hamiltonians (of which the Ising chain hamiltonian is the N = 2 case) are the main known interesting representations of Onsager’s algebra and the corresponding polynomials have been found by Baxter and Albertini, McCoy and Perk in 1987-89 consideri...
متن کاملThe L(sl2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
The loop algebra L(sl2) symmetry is found in a sector of the nilpotent BazhanovStroganov model. The Drinfeld polynomial of a L(sl2)-degenerate eigenspace of the model is equivalent to the polynomial [4, 5, 10–14] which characterizes a subspace with the Isinglike spectrum of the superintegrable chiral Potts model.
متن کاملThe Onsager Algebra Symmetry of Τ -matrices in the Superintegrable Chiral Potts Model
We demonstrate that the τ (j)-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comparison of functional relations of the eight-vertex model for roots of unity and the superintegrable chiral Potts model has been carefully analyzed by identifying equivalent terms in the corresponding equations, by which w...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1988
ISSN: 0375-9601
DOI: 10.1016/0375-9601(88)91014-6