Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-07-02
Phys. Rev. B 64, 104432 (2001)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 2 figures, PRB accepted
Scientific paper
10.1103/PhysRevB.64.104432
We discuss an universal relation $\epsilon(i\kappa)=0$ with ${\rm Re} \kappa=1/\xi$ 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 $S=1/2$ zigzag spin ladder numerically.
Akutsu Noriko
Akutsu Yasuhiro
Okunishi Kouichi
Yamamoto Tadahiro
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