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

1990 ◽  
Vol 147 (8-9) ◽  
pp. 487-490 ◽  
Author(s):  
V.O Tarasov
Keyword(s):  
Bethe Ansatz ◽  
Transfer Matrix ◽  
Potts Model ◽  
Chiral Potts Model

scholarly journals QUASI-PARTICLES IN THE CHIRAL POTTS MODEL

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3601-3621 ◽  
Author(s):  
RINAT KEDEM ◽  
BARRY M. McCOY
Keyword(s):  
Transfer Matrix ◽  
Potts Model ◽  
Numerical Study ◽  
Particle Spectrum ◽  
Exact Results ◽  
Chiral Potts Model ◽  
Quasi Particle ◽  
Massive Phase ◽  
Matrix Eigenvalues ◽  
Potts Chain

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeros of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta restricted only to segments of the Brillouin zone 0≤P≤2π where the boundaries of the segments depend on the chiral angles of the model.

CHIRAL POTTS MODEL: CORNER TRANSFER MATRICES AND PARAMETRIZATIONS

1993 ◽  
Vol 07 (20n21) ◽  
pp. 3489-3500 ◽  
Author(s):  
R.J. BAXTER
Keyword(s):  
Transfer Matrix ◽  
Potts Model ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Weight Functions ◽  
Chiral Potts Model ◽  
Transfer Matrices ◽  
Corner Transfer Matrices ◽  
Difference Property ◽  
The Difference

We consider the star-triangle relation and the form of its solutions. We present some simple parametrizations of the weight functions of the three-state chiral Potts model. This model does not have the “difference property”: we discuss the resulting difficulties in attempting to use the corner transfer matrix method for this model.

BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS

2003 ◽  
Vol 17 (26) ◽  
pp. 1353-1363
Author(s):  
A. A. OVCHINNIKOV
Keyword(s):  
Bethe Ansatz ◽  
Transfer Matrix ◽  
Inverse Scattering Method ◽  
Compact Groups ◽  
Scattering Method ◽  
Helium Nanodroplets ◽  
New Class ◽  
Quasiclassical Limit ◽  
Exactly Solvable ◽  
Solvable Pairing

We discuss the construction of the exactly solvable pairing models for bosons in the framework of the Quantum Inverse Scattering method. It is stressed that this class of models naturally appears in the quasiclassical limit of the algebraic Bethe ansatz transfer matrix. We propose the new pairing Hamiltonians for bosons, depending on the additional parameters. It is pointed out that the new class of the pairing models can be obtained from the fundamental transfer-matrix. The possible new application of the pairing models for confined bosons in the physics of helium nanodroplets is pointed out.

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