LETTER TO THE EDITOR: On spin systems related to the Temperley Lieb algebra

The spectrum of the transfer matrices constructed from the spectral parameter dependent Temperley–Lieb R-matrix is found using functional relations identical to those of the spin 1/2 XXZ-magnet.

[1]  Exact solution of the deformed biquadratic spin-1 chain , 1994 .

[2]  C. Hamer,et al.  Surface energy of integrable quantum spin chains , 1990 .

[3]  A. Klumper.  The spectra of q-state vertex models and related antiferromagnetic quantum spin chains , 1990 .

[4]  How algebraic Bethe ansatz works for integrable model , 1996, hep-th/9605187.

[5]  N. Reshetikhin,et al.  Yang-Baxter equation and representation theory: I , 1981 .

[6]  E. Sklyanin.  Boundary conditions for integrable quantum systems , 1988 .

[7]  FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY , 1993, hep-th/9309137.

[8]  I. Kondor,et al.  Short-range corrections to the order parameter of the Ising spin glass above the upper critical dimension , 1991 .

[9]  P. Kulish,et al.  The general Uq(sl(2)) invariant XXZ integrable quantum spin chain , 1991 .

[10]  P. Martin,et al.  Hecke algebra solutions to the reflection equation , 1994 .

[11]  Barber,et al.  Spectrum of the biquadratic spin-1 antiferromagnetic chain. , 1989, Physical review. B, Condensed matter.

[12]  Elliott H Lieb,et al.  Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[13]  A note on graded Yang-Baxter solutions as braid-monoid invariants , 1994, hep-th/9410071.

[14]  N. Reshetikhin,et al.  Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. II. Thermodynamics of the system , 1987 .

[15]  N. Reshetikhin.  A method of functional equations in the theory of exactly solvable quantum systems , 1983 .

[16]  R. Baxter.  Exactly solved models in statistical mechanics , 1982 .