Abstract.
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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Abad, J. Thermodynamic properties of the XX model in a chain with a period two and three coupling. Eur. Phys. J. B 55, 429–437 (2007). https://doi.org/10.1140/epjb/e2007-00065-y
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DOI: https://doi.org/10.1140/epjb/e2007-00065-y