2010/12/31 by Holger Frahm, M J Martins, Marcio J. Martins · 25 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Central charge #Condensed matter physics #Conformal map #Degrees of freedom (physics and chemistry) #Eigenvalues and eigenvectors #Geometry #Ground state #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Scaling #Spin (aerodynamics) #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2011.01.026
published in Nuclear Physics B 847(1), 220-246 (Elsevier BV) · 32 pages, 7 figures included; Nucl. Phys. B [FS] (2011) in press
openalex publication_date 2011/01/29 · arxiv created 2011/02/03 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Based on the exact solution of the eigenvalue problem for the Uq[sl(2|1)] vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and low energy excitations of the corresponding mixed superspin chain for deformation parameter q=exp(-iγ/2). The model has a line of critical points with central charge c=0 and continua of conformal dimensions grouped into sectors with γ-dependent lower edges for 0≤γ<π/2. The finite size scaling behaviour is consistent with a low energy effective theory consisting of one compact and one non-compact bosonic degree of freedom. In the 'ferromagnetic' regime π<γ≤2π the critical theory has c=-1 with exponents varying continuously with the deformation parameter. Spin and charge degrees of freedom are separated in the finite size spectrum which coincides with that of the Uq[osp(2|2)] spin chain. In the intermediate regime π/2<γ<π the finite size scaling of the ground state energy depends on the deformation parameter.