Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
arXiv:cond-mat/9807076 · doi:10.1088/0305-4470/32/12/008
Abstract
The thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the recently developed quantum transfer matrix (QTM) approach. The set of nonlinear equations which exactly characterize the free energy is derived by respecting the physical excitations at T=0, spinons and RSOS kinks. We argue the implication of the present formulation to spinon character formula of level k=2S SU(2) WZWN model .
25 pages, 8 Postscript figures, Latex 2e,uses graphicx, added figures and detailed discussions
References in corpus (12)
- The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
- The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties
- Continued fraction TBA and functional relations in XXZ model at root of unity
- Character Formulae of -Modules and Inhomogeneous Paths
- From Fusion Hierarchy to Excited State TBA
- Thermodynamic Bethe Ansatz with Haldane Statistics
- Exclusion statistics for non-abelian quantum Hall states
- Spinon statistics in integrable spin-S Heisenberg chains
- Quantum Jacobi-Trudi Formula and Structure in the Ising Model in a Field
- Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
- Characters for from a novel Thermodynamic Bethe Ansatz
- On thermodynamic approaches to conformal field theory
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- Complete Generalized Gibbs Ensemble in an interacting Theory
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- From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model
- Correlation functions of the integrable isotropic spin-1 chain at finite temperature
- Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
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- The equilibrium landscape of the Heisenberg spin chain
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- Statistical mechanics of integrable quantum spin systems
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- ODE/IM correspondence and supersymmetric affine Toda field equations
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- Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
- The ODE/IM Correspondence between -type Linear Problems and 2d SCFT
- Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction
- Canonical formulation for the thermodynamics of -invariant integrable spin chains
- A note on a boundary sine-Gordon model at the free-Fermion point