Non-equilibrium properties of the S=1/2 Heisenberg model in a time-dependent magnetic field

Details Non-equilibrium properties of the S=1/2 Heisenberg model in a time-dependent magnetic field Non-equilibrium properties of the S=1/2 Heisenberg model in a time-dependent magnetic field

2003-05-07

arxiv.org/abs/cond-mat/0305139v1

Physics

Condensed Matter

Statistical Mechanics

To be published in Physica A

Scientific paper

10.1016/S0378-4371(03)00478-3

The time-dependent behavior of the Heisenberg model in contact with a phonon heat bath and in an external time-dependent magnetic field is studied by means of a path integral approach. The action of the phonon heat bath is taken into account up to the second order in the coupling to the heath bath. It is shown that there is a minimal value of the magnetic field below which the average magnetization of the system does not relax to equilibrium when the external magnetic field is flipped. This result is in qualitative agreement with the mean field results obtained within $\phi^{4}$-theory.

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