Excited state TBA and functional relations in spinless Fermion model

Abstract

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations among them (T-system) and their certain combinations (Y-system). {}From their analytical property, we derive a closed set of non-linear integral equations which characterize the correlation length of $<c_j^{†}{c}_i>$ at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which coincides with earlier results with high accuracy.

4 pages

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Cited by in corpus (7)

• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model
• Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain
• The extension to the transverse momentum of the statistical parton distributions
• Correlation length of the 1D Hubbard Model at half-filling : equal-time one-particle Green's function
• Thermodynamic Bethe ansatz equation for osp(1|2) integrable spin chain
• Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model