Spin S Quantum Chains and Temperley-lieb Algebras - INSPIRE

DataBETA

Spin S Quantum Chains and Temperley-lieb Algebras

Oct, 1989

10 pages

Published in:

J.Phys.A 23 (1990) L15

DOI:

10.1088/0305-4470/23/1/004

Report number:

CMA-R35-89

View in:

ADS Abstract Service

reference search29 citations

Citations per year

Abstract: (IOP)

The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.

References(20)

Figures(0)

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

Rigorous Results on Valence Bond Ground States in Antiferromagnets

- Phys.Rev.Lett. 59 (1987) 799
•
DOI:
- 10.1103/PhysRevLett.59.799

Valence Bond Ground States in Isotropic Quantum Antiferromagnets

- Commun.Math.Phys. 115 (1988) 477
•
DOI:
- 10.1007/BF01218021

- J.Phys.C 20 L505

- J.Appl.Phys. 63 4144

The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins

L.A. Takhtajan
(
- Steklov Math. Inst., St. Petersburg
)

- Phys.Lett.A 87 (1982) 479-482
•
DOI:
- 10.1016/0375-9601(82)90764-2

EXACT SOLUTION OF THE ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS: THERMODYNAMICS OF THE MODEL

Hratchya M. Babujian
(
- Moscow, ITEP
)

- Nucl.Phys.B 215 (1983) 317-336
•
DOI:
- 10.1016/0550-3213(83)90668-5

Spectrum of the biquadratic spin-1 antiferromagnetic chain

- Phys.Rev.B 40 (1989) 4621-4626
•
DOI:
- 10.1103/PhysRevB.40.4621

Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem

H.N.V. Temperley
(
- Swansea U.
)
,
E.H. Lieb
(
- Swansea U.
)

- Proc.Roy.Soc.Lond.A 322 (1971) 251-280
•
DOI:
- 10.1098/rspa.1971.0067

Conformal Invariance, the Xxz Chain and the Operator Content of Two-dimensional Critical Systems

- Annals Phys. 182 (1988) 280-343
•
DOI:
- 10.1016/0003-4916(88)90015-2

A class of interaction-round-a-face models and its equivalence with an ice-type model

- J.Statist.Phys. 49 (1987) 1093-1115
•
DOI:
- 10.1007/BF01017562

ON THE ORDER - DISORDER VARIABLES, DUALITY AND THE FUNCTIONAL INVERSION RELATION

E. Berkcan
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 215 (1983) 68-82
•
DOI:
- 10.1016/0550-3213(83)90267-5

- Phys.Rev.B 24 218

- J.Phys.A 14 2981

Surface Exponents of the Quantum XXZ, Ashkin-Teller and Potts Models

- J.Phys.A 20 (1987) 6397
•
DOI:
- 10.1088/0305-4470/20/18/038

One-dimensional chain of anisotropic spin spin interactions. 2. Properties of the ground state energy per lattice site for an infinite system

C.N. Yang
(
- Princeton, Inst. Advanced Study and
- SUNY, Stony Brook
)
,
C.P. Yang
(
- Ohio State U.
)

- Phys.Rev. 150 (1966) 327-339
•
DOI:
- 10.1103/PhysRev.150.327

- J.Math.Phys. 7 1384

- Phys.Rev.A 4 1613

- EPL 9 815

Unusual Phases in Quantum Spin 1 Systems

N. Papanicolaou
(
- Crete U. and
- Washington U., St. Louis
)

- Nucl.Phys.B 305 (1988) 367-395
•
DOI:
- 10.1016/0550-3213(88)90073-9