Stretched exponential-like impurity relaxation in the S=1/2XY chain: a numerical study

Surajit Sen and Thomas D Blersch

Physica A: Statistical Mechanics and its Applications, 1998, vol. 253, issue 1, 178-187

Abstract: We use the continued fraction formalism to show that a weakly bound, S=1/2, impurity spin, in a S=1/2XY chain exhibits slow relaxation. The dynamical xx-correlation of the impurity spin, at different couplings to the rest of the chain, is best described by a non-universal stretched-exponential-like (SEL) decay at large times. The zz-correlation for that spin shows exponential-like decay. The host spins relax faster than the impurity spin. To our knowledge, this is the first study which introduces a simple 1D spin Hamiltonian and solves the Heisenberg equation of motion for the impurity spin to obtain SEL relaxation.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:253:y:1998:i:1:p:178-187

DOI: 10.1016/S0378-4371(98)00051-X

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