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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/9903112 (cond-mat)
[Submitted on 6 Mar 1999]

Title:Excited state TBA and functional relations in spinless Fermion model

Authors:Kazumitsu Sakai
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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 $<c_j^{\dagger}c_i>$ at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which coincides with earlier results with high accuracy.
Comments: 4 pages
Subjects: Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:cond-mat/9903112 [cond-mat.stat-mech]
  (or arXiv:cond-mat/9903112v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9903112
Journal reference: J. Phys. Soc. Jpn .68 (1999) 1789-1792
Related DOI: https://doi.org/10.1143/JPSJ.68.1789

Submission history

From: Kazumitsu Sakai [view email]
[v1] Sat, 6 Mar 1999 12:03:15 UTC (19 KB)
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