aqora

Transfer matrix of the superintegrable chiral Potts model. Bethe ansatz spectrum

V. Tarasov

Physics Letters AJul 1, 199029 citations

Microcanonical Transfer Matrix and Yang-Lee Zeros of the Q-State Potts Model

Rick J. Creswick, S.-Y. Kim

Springer proceedings in physicsJan 1, 19980 citations

Microcanonical transfer matrix study of the Q-state Potts model

Richard J. Creswick, Seung‐Yeon Kim

arXiv:cond-mat/9810153Computer Physics CommunicationsSep 1, 199911 citations

On representations of an operator algebra and the transfer matrix spectrum of the q-state Potts model

Paul Martin

The author shows that the Potts and Temperley-Lieb representations of the projection generators of a von Neumann algebra are, in general, reducible. The author writes down a new representation with non-vanishing product of odd generators R and gives evidence that it is a common element in these reductions. The operators in this representation may be interpreted as giving the bond transfer matrices of the square lattice Whitney polynomial. The author shows that the reduction of the Temperley-Lieb representation also contains irreducible representations with R=0 which are responsible for eigenvalues in the ice-model spectrum independent of those of the Potts model.The author shows that the Potts and Temperley-Lieb representations of the projection generators of a von Neumann algebra are, in general, reducible. The author writes down a new representation with non-vanishing product of odd generators R and gives evidence that it is a common element in these reductions. The operators in this representation may be interpreted as giving the bond transfer matrices of the square lattice Whitney polynomial. The author shows that the reduction of the Temperley-Lieb representation also contains irreducible representations with R=0 which are responsible for eigenvalues in the ice-model spectrum independent of those of the Potts model.

Journal of Physics A Mathematical and GeneralDec 21, 19866 citations

Operator Algebra Approach to Soluble Models of Quantum Spin Lattice Systems

Huzihiro Araki

Springer eBooksJan 1, 19930 citations

Quantum Spin Systems and Their Operator Algebras

Pedro de M. Rios, Eldar Straume

Springer eBooksJan 1, 20140 citations

On representations of an operator algebra and the transfer matrix spectrum of the q-state Potts model

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