scholarly journals Double potts chain and exact results for some two-dimensional spin models

2001 ◽  
Vol 93 (5) ◽  
pp. 1113-1118 ◽  
Author(s):  
M. A. Yurishchev
Keyword(s):  
Exact Results ◽  
Two Dimensional ◽  
Spin Models ◽  
Potts Chain

Mott-Hubbard transition in finite one- and two-dimensional lattices: Exact results

1997 ◽  
Vol 230-232 ◽  
pp. 1031-1033 ◽  
Author(s):  
A.N. Kocharian ◽  
A.K. Jermakian ◽  
A. Sogomonian
Keyword(s):  
Exact Results ◽  
Two Dimensional

Exact results in the two-dimensional U(1)-symmetric Thirring model

1984 ◽  
Vol 230 (4) ◽  
pp. 511-547 ◽  
Author(s):  
G.I. Japaridze ◽  
A.A. Nersesyan ◽  
P.B. Wiegmann
Keyword(s):  
Thirring Model ◽  
Exact Results ◽  
Two Dimensional

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.

scholarly journals Exact results at the two-dimensional percolation point

1998 ◽  
Vol 57 (14) ◽  
pp. R8075-R8078 ◽  
Author(s):  
P. Kleban ◽  
R. M. Ziff
Keyword(s):  
Exact Results ◽  
Two Dimensional
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