Universal relation between the dispersion curve and the ground-state correlation length in one-dimensional antiferromagnetic quantum spin systems

Article

关键词: MATRIX RENORMALIZATION-GROUP;    SOLITONIC EXCITATIONS;    PARTITION-FUNCTION;    HALDANE PHASE;    MODEL;    CHAIN;    GAS;   

DOI  :  10.1103/PhysRevB.64.104432

来源: SCIE

【 摘 要 】

We discuss a universal relation epsilon (i kappa) =0 with Re kappa= 1/xi in 1D quantum spin systems with an excitation gap, where epsilon (k) is the dispersion curve of the low-energy excitation and xi is the correlation length of the ground state. We first discuss this relation for integrable models such as the Ising model in a transverse filed and the XYZ model. We secondly make a derivation of the relation for general cases, in connection with the equilibrium crystal shape in the corresponding 2D classical system. We finally verify the relation for the S=1 bilinear-biquadratic spin chain and the S=1/2 zigzag spin ladder numerically.

【 授权许可】

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