Spin correlation functions in random-exchange s=1/2 XXZ chains

Details Spin correlation functions in random-exchange s=1/2 XXZ chains Spin correlation functions in random-exchange s=1/2 XXZ chains

1995-08-24

arxiv.org/abs/cond-mat/9508105v2

Physics

Condensed Matter

RevTex manuscript (7 pages), 4 postscript figures

Scientific paper

10.1063/1.361687

The decay of (disorder-averaged) static spin correlation functions at T=0 for the one-dimensional spin-1/2 XXZ antiferromagnet with uniform longitudinal coupling $J\Delta$ and random transverse coupling $J\lambda_i$ is investigated by numerical calculations for ensembles of finite chains. At $\Delta=0$ (XX model) the calculation is based on the Jordan-Wigner mapping to free lattice fermions for chains with up to N=100 sites. At $\Delta \neq 0$ Lanczos diagonalizations are carried out for chains with up to N=22 sites. The longitudinal correlation function $$ is found to exhibit a power-law decay with an exponent that varies with $\Delta$ and, for nonzero $\Delta$, also with the width of the $\lambda_i$-distribution. The results for the transverse correlation function $$ show a crossover from power-law decay to exponential decay as the exchange disorder is turned on.

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