Spectrum and completeness of the three state superintegrable chiral Potts model - INSPIRE

DataBETA

Spectrum and completeness of the three state superintegrable chiral Potts model

Srinandan Dasmahapatra
(
- SUNY, Stony Brook
)
,
Rinat Kedem
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)

May 26, 1992

37 pages

Published in:

Nucl.Phys.B 396 (1993) 506-540

e-Print:

hep-th/9204003 [hep-th]

DOI:

10.1016/0550-3213(93)90662-9

Report number:

ITP-SB-92-11-REV,
ITP-SB-92-11

View in:

reference search19 citations

Citations per year

Abstract:

We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive phase and demonstrate the existence of excitations which do not have a quasi-particle form. The physics of these excitations is compared with the BCS superconductivity spectrum and the counting rules are compared with the closely related

S=1

XXZ spin chain.

Note:

Revised version

References(32)

Figures(0)

QUANTUM MODEL FOR COMMENSURATE - INCOMMENSURATE TRANSITIONS

S. Howes
(
- Chicago U., EFI
)
,
L.p. Kadanoff
(
- Chicago U., EFI
)
,
M. Den Nijs
(
- Washington U., Seattle
)

- Nucl.Phys.B 215 (1983) 169-208
•
DOI:
- 10.1016/0550-3213(83)90212-2

$Z(n$ ) Symmetric Quantum Chains With an Infinite Set of Conserved Charges and $Z(n$ ) Zero Modes

G. von Gehlen
(
- Bonn U.
)
,
V. Rittenberg
(
- Geneva U.
)

- Nucl.Phys.B 257 (1985) 351-370
•
DOI:
- 10.1016/0550-3213(85)90350-5

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

Excitation Spectrum and Order Parameter for the Integrable $N$ State Chiral Potts Model

Giuseppe Albertini
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Jacques H.H. Perk
(
- SUNY, Stony Brook
)
,
Shuang Tang
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 314 (1989) 741-763
•
DOI:
- 10.1016/0550-3213(89)90415-X

The superintegrable chiral Potts model

R.J. Baxter
(
- Canberra U.
)

- Phys.Lett.A 133 (1988) 185-189
•
DOI:
- 10.1016/0375-9601(88)91014-6

Commensurate incommensurate transition in the ground state of the superintegrable chiral Potts model

Giuseppe Albertini
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Jacques H.H. Perk
(
- Oklahoma State U.
)

- Phys.Lett.A 135 (1989) 159-166
•
DOI:
- 10.1016/0375-9601(89)90254-5

- J.Phys.A 23 2245

- J.Math.Phys. 32 2945

MODEL FACTORIZED S MATRIX AND AN INTEGRABLE HEISENBERG CHAIN WITH SPIN 1. (IN RUSSIAN)

A.B. Zamolodchikov
(
- Landau Inst.
)
,
V.A. Fateev
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 32 (1980) 298-303,
- Yad.Fiz. 32 (1980) 581-590

Yang-Baxter Equation and Representation Theory. 1.

- Lett.Math.Phys. 5 (1981) 393-403
•
DOI:
- 10.1007/BF02285311

Quantum linear problem for the Sine-Gordon equation and higher representation

- J.Sov.Math. 23 (1983) 2435-2441,
- Zap.Nauchn.Semin. 101 (1981) 101-110
•
DOI:
- 10.1007/BF01084171

- Phys.Lett.A 104 51

Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum

- J.Phys.A 20 (1987) 1565-1585
•
DOI:
- 10.1088/0305-4470/20/6/038

- J.Phys.A 20 1587

Conformal Invariance and the Operator Content of the {XXZ} Model With Arbitrary Spin

- J.Phys.A 22 (1989) 1829
•
DOI:
- 10.1088/0305-4470/22/11/023

The integrable XXZ Heisenberg model with arbitrary spin: Construction of the Hamiltonian, the ground-state configuration and conformal properties

- Nucl.Phys.B 336 (1990) 396-434
•
DOI:
- 10.1016/0550-3213(90)90435-G

Commuting transfer matrices in the chiral Potts models: Solutions of Star triangle equations with genus > 1

Helen Au-Yang
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Jacques H.H. perk
(
- SUNY, Stony Brook
)
,
Shuang Tang
(
- SUNY, Stony Brook
)
,
Mu-Lin Yan
(
- SUNY, Stony Brook
)

- Phys.Lett.A 123 (1987) 219-223
•
DOI:
- 10.1016/0375-9601(87)90065-X

Commuting Transfer Matrices for the Four State Selfdual Chiral Potts Model With a Genus Three Uniformizing Fermat Curve

Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Jacques H.H. Perk
(
- SUNY, Stony Brook
)
,
Shuang Tang
(
- SUNY, Stony Brook
)
,
Chih-Han Sah
(
- SUNY, Stony Brook
)

- Phys.Lett.A 125 (1987) 9-14
•
DOI:
- 10.1016/0375-9601(87)90509-3

New solutions of the star triangle relations for the chiral Potts model

- Phys.Lett.A 128 (1988) 138-142
•
DOI:
- 10.1016/0375-9601(88)90896-1

Functional relations for transfer matrices of the chiral Potts model

R.J. Baxter
(
- Australian Natl. U., Canberra and
- Australian Natl. U., Canberra, CMA
)
,
V.V. Bazhanov
(
- Serpukhov, IHEP
)
,
J.H.H. Perk
(
- Oklahoma State U.
)

- Int.J.Mod.Phys.B 4 (1990) 803-870
•
DOI:
- 10.1142/S0217979290000395

- Int.J.Mod.Phys.A 7 1

- Prog.Theor.Phys. 46 401

One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures

- Prog.Theor.Phys. 48 (1972) 2187-2209
•
DOI:
- 10.1143/PTP.48.2187

On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain

H. Bethe

- Z.Phys. 71 (1931) 205-226
•
DOI:
- 10.1007/BF01341708

Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model

- J.Sov.Math. 24 (1984) 241-267,
- Zap.Nauchn.Semin. 109 (1981) 134-178
•
DOI:
- 10.1007/BF01087245

1-25 of 32
1
2
25 / page