New families of commuting transfer matrices in q state vertex models - INSPIRE

DataBETA

New families of commuting transfer matrices in q state vertex models

Aug, 1981

4 pages

Published in:

Phys.Lett.A 84 (1981) 407-410

DOI:

10.1016/0375-9601(81)90994-4

View in:

reference search168 citations

Citations per year

Abstract: (Elsevier)

New exactly solvable two-dimensional q -state vertex models are given which generalize the ( q = 2) eight-vertex model, using the method of commuting transfer matrices. Associated one-dimensional hamiltonians and, in some cases, free energies are calculated.

References(25)

Figures(0)

Crystal statistics. 1. A Two-dimensional model with an order disorder transition

Lars Onsager
(
- Yale U.
)

- Phys.Rev. 65 (1944) 117-149
•
DOI:
- 10.1103/PhysRev.65.117

Residual Entropy of Square Ice

Elliott H. Lieb
(
- Northeastern U.
)

- Phys.Rev. 162 (1967) 162-172
•
DOI:
- 10.1103/PhysRev.162.162

- Phys.Rev.Lett. 18 692

Exact solution of the two-dimensional Slater KDP model of a ferroelectric

Elliott H. Lieb
(
- Northeastern U.
)

- Phys.Rev.Lett. 19 (1967) 108-110
•
DOI:
- 10.1103/PhysRevLett.19.108

- Phys.Rev.Lett. 19 103

Exact Solution of a Model of Two-Dimensional Ferroelectrics in an Arbitrary External Electric Field

C.P. Yang
(
- Ohio State U.
)

- Phys.Rev.Lett. 19 (1967) 586-588
•
DOI:
- 10.1103/PhysRevLett.19.586

Exact Solution of a Model of Two-Dimensional Ferroelectrics in an Arbitrary External Electric Field

- Phys.Rev.Lett. 19 (1967) 588-591
•
DOI:
- 10.1103/PhysRevLett.19.588

Partition function of the eight vertex lattice model

Rodney J. Baxter
(
- Australian Natl. U., Canberra
)

- Annals Phys. 70 (1972) 193-228,
- Annals Phys. 281 (2000) 187-222
•
DOI:
- 10.1016/0003-4916(72)90335-1

One-dimensional anisotropic Heisenberg chain

R.J. Baxter
(
- Australian Natl. U., Canberra
)

- Annals Phys. 70 (1972) 323-337
•
DOI:
- 10.1016/0003-4916(72)90270-9

- Fundam.Probl.Stat.Mech. 3 103

A new calculation method for partition functions in some lattice models

Yu.G. Stroganov
(
- Serpukhov, IHEP
)

- Phys.Lett.A 74 (1979) 116-118
•
DOI:
- 10.1016/0375-9601(79)90601-7

Solvable $Q$ State Models in Lattice Statistics and Quantum Field Theory

C.L. Schultz
(
- SUNY, Stony Brook
)

- Phys.Rev.Lett. 46 (1981) 629-632
•
DOI:
- 10.1103/PhysRevLett.46.629

- Yad.Fiz. 31 1419

CHARACTERIZATION OF COMPLETELY X SYMMETRIC FACTORIZED S MATRICES FOR A SPECIAL TYPE OF INTERACTION APPLICATIONS TO MULTICOMPONENT FIELD THEORIES

D.V. Chudnovsky
(
- Saclay
)
,
G.V. Chudnovsky
(
- Orsay, LPT
)

- Phys.Lett.A 79 (1980) 36-38
•
DOI:
- 10.1016/0375-9601(80)90311-4

- Nuovo Cim.B 56 311

- J.Math.Phys. 11 3183

- Fundam.Probl.Stat.Mech. 5 109

Some exact results for the many body problems in one dimension with repulsive delta function interaction

Chen-Ning Yang
(
- SUNY, Stony Brook
)

- Phys.Rev.Lett. 19 (1967) 1312-1314
•
DOI:
- 10.1103/PhysRevLett.19.1312

Relativistic Factorized S Matrix in Two-Dimensions Having O(N) Isotopic Symmetry

- Nucl.Phys.B 133 (1978) 525,
- JETP Lett. 26 (1977) 457
•
DOI:
- 10.1016/0550-3213(78)90239-0

Z(4) SYMMETRIC FACTORIZED S MATRIX IN TWO SPACE-TIME DIMENSIONS

A.B. Zamolodchikov
(
- Landau Inst.
)

- Commun.Math.Phys. 69 (1979) 165-178
•
DOI:
- 10.1007/BF01221446

Factorized U(n) Symmetric s Matrices in Two-Dimensions

- Nucl.Phys.B 134 (1978) 125-132
•
DOI:
- 10.1016/0550-3213(78)90489-3

The S Matrix of the Supersymmetric Nonlinear Sigma Model

R. Shankar
(
- Yale U.
)
,
Edward Witten
(
- Harvard U.
)

- Phys.Rev.D 17 (1978) 2134
•
DOI:
- 10.1103/PhysRevD.17.2134

The $s$ Matrix of a Factorizable Supersymmetric $Z$ (n) Model

R. Koberle
(
- Sao Paulo U., Sao Carlos
)
,
V. Kurak
(
- Sao Paulo U.
)

- Phys.Lett.B 191 (1987) 295-298
•
DOI:
- 10.1016/0370-2693(87)90258-9

- Lett.Math.Phys. 5 43

A General Model for Multicomponent Quantum Systems

Bill Sutherland
(
- SUNY, Stony Brook
)

- Phys.Rev.B 12 (1975) 3795-3805
•
DOI:
- 10.1103/PhysRevB.12.3795