1999/03/06 by Kazumitsu Sakai · 1 citation
Mathematics · Physics and Astronomy · #Ansatz #Bethe ansatz #Density matrix #Excited state #Fermion #Matrix (chemical analysis) #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #State (computer science) #Transfer matrix #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA #nlin.SI #solv-int
paper · pdf · doi:10.1143/jpsj.68.1789
published as J. Phys. Soc. Jpn .68 (1999) 1789-1792 · 4 pages
arxiv created 1999/03/06 · openalex publication_date 1999/06/15 · arxiv updated 2012/09/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 <cj†ci> at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which coincides with earlier results with high accuracy.