Thermodynamics of a one-dimensional S=1/2 spin-orbital model

Abstract

The thermodynamic properties of a one-dimensional model describing spin dynamics in the presence of a twofold orbital degeneracy are studied numerically using the transfer-matrix renormalization group (TMRG). The model contains an integrable SU(4)-symmetric point and a gapless phase which is SU(4) invariant up to a rescaling of the velocities for spin and orbital degrees of freedom which allows detailed comparison of the numerical results with conformal field theory. We pay special attention to the correlation lengths which show an intriguing evolution with temperature. We find that the model shows an intrinsic tendency towards dimerization at finite temperature even if the ground state is not dimerized.

arXiv comment9 pages, 12 figures

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Cited by in corpus (10)

• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Neutron diffraction study of YVO3, NdVO3, and TbVO3
• Real-time dynamics at finite temperature by DMRG: A path-integral approach
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Topological Order in an Entangled SU(2)$\otimes$XY Spin-Orbital Ring
• Accurate computation of low-temperature thermodynamics for quantum spin chains
• Magnetic excitations in one-dimensional spin-orbital models
• Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
• Doping a Mott insulator with orbital degrees of freedom
• T-W relation and free energy of the Heisenberg chain at a finite temperature