Thermodynamic properties of the XX model in a chain with a period two and three coupling

Details Thermodynamic properties of the XX model in a chain with a period two and three coupling Thermodynamic properties of the XX model in a chain with a period two and three coupling

2005-09-09

arxiv.org/abs/cond-mat/0509250v2

Physics

Condensed Matter

Statistical Mechanics

20 pages, 9 figures, new references added

Scientific paper

10.1140/epjb/e2007-00065-y

The exact solutions for the energy spectrum of the XX model with a periodic coupling and an external transverse magnetic field $h$ are obtained. The diagonalization procedure is discussed, and analytical and numerical solutions are given. Using the solutions for period-two coupling, the free energy, entropy, and specific heat are calculated as functions of temperature and applied transverse external magnetic field. Their expressions show that below a particular value $v$ and above a value $u$ of the magnetic field $|h|$, the entropy and the specific heat vanish exponentially in the low temperature limit.

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