2010/08/16 by Britta Aufgebauer, Michael Brockmann, Win Nuding +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anisotropy #Boundary (topology) #Conformal map #Conformal symmetry #Invariant (physics) #Logarithm #Quantum many-body systems #Scaling #Scaling dimension #Spectrum (functional analysis) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2010/12/p12010
published as J. Stat. Mech. (2010) P12010 · 18 pages, 5 figures
arxiv created 2010/08/16 · openalex publication_date 2010/12/06 · arxiv updated 2013/05/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We investigate the low temperature asymptotics and the finite-size spectrum of a class of Temperley–Lieb models. As reference system we use the spin-1/2 Heisenberg chain with anisotropy parameter Δ and twisted boundary conditions. Special emphasis is placed on the study of logarithmic corrections appearing in the case of Δ = 1/2 in the bulk susceptibility data and in the low-energy spectrum yielding the conformal dimensions. For the sl (2|1) invariant 3-state representation of the Temperley–Lieb algebra with Δ = 1/2 we give the complete set of scaling dimensions, which show huge degeneracies.