scholarly journals A Bethe Ansatz study of free energy and excitation spectrum for even spin Fateev–Zamolodchikov model

2005 ◽  
Vol 46 (4) ◽  
pp. 043301 ◽  
Author(s):  
Subhankar Ray ◽  
J. Shamanna
Keyword(s):  
Free Energy ◽  
Bethe Ansatz ◽  
Excitation Spectrum ◽  
Zamolodchikov Model

scholarly journals THERMODYNAMIC BETHE ANSATZ EQUATION FROM FUSION HIERARCHY OF osp(1|2) INTEGRABLE SPIN CHAIN

2000 ◽  
Vol 15 (15) ◽  
pp. 2329-2346 ◽  
Author(s):  
KAZUMITSU SAKAI ◽  
ZENGO TSUBOI
Keyword(s):  
Free Energy ◽  
Excited State ◽  
Bethe Ansatz ◽  
Spin Chain ◽  
Lie Superalgebra ◽  
Nonlinear Integral Equations ◽  
Thermodynamic Bethe Ansatz ◽  
Functional Relations ◽  
Integrable Spin ◽  
T System

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp (1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of the QTM and derive the functional relations among them (T-system) and their certain combinations (Y-system). Their analytical property leads to the nonlinear integral equations which describe the free energy and the correlation length at any finite temperatures. With regard to the free energy, they coincide with the TBA equation based on the string hypothesis.

scholarly journals THERMODYNAMIC BETHE ANSATZ EQUATION FOR osp(1|2) INTEGRABLE SPIN CHAIN

1999 ◽  
Vol 14 (35) ◽  
pp. 2427-2435 ◽  
Author(s):  
KAZUMITSU SAKAI ◽  
ZENGO TSUBOI
Keyword(s):  
Free Energy ◽  
Low Temperature ◽  
Bethe Ansatz ◽  
Infinite Number ◽  
Spin Chain ◽  
Lie Superalgebra ◽  
Temperature Limit ◽  
Nonlinear Integral Equations ◽  
Thermodynamic Bethe Ansatz ◽  
Integrable Spin

The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp (1|2). Using the string hypothesis, we derive a set of infinite number of nonlinear integral equations (thermodynamic Bethe ansatz equation), which characterize the free energy. The low temperature limit of the free energy is also discussed.

scholarly journals Ising Model on a Triangular Lattice with Three-spin Interactions. I. Free Energy and Correlation Length

1974 ◽  
Vol 27 (3) ◽  
pp. 369 ◽  
Author(s):  
RJ Baxter
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Bethe Ansatz ◽  
Correlation Length ◽  
Triangular Lattice ◽  
Hexagonal Lattice ◽  
Spin Interactions

Following the demonstration in Part I that the Ising mogel with three-spin interactions on a triangular lattice is equivalent to a colouring problem on a hexagonal lattice, and that a generalized Bethe ansatz can be used to obtain equations for the eigenv

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