Statistical Transfer Matrix Study of the $\pm J$ Multileg Ising Ladders and Tubes

Details Statistical Transfer Matrix Study of the $\pm J$ Multileg Ising Ladders and Tubes Statistical Transfer Matrix Study of the $\pm J$ Multileg Ising Ladders and Tubes

2012-03-02

arxiv.org/abs/1203.0484v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 9 figures

Scientific paper

Finite temperature properties of symmetric $\pm J$ multileg Ising ladders and tubes are investigated using the statistical transfer matrix method. The temperature dependences of the specific heat and entropy are calculated. In the case of tubes, it is found that the ground state entropy shows an even-odd oscillation with respect to the number of legs. The same type of oscillation is also found in the ground state energy. On the contrary, these oscillations do not take place in ladders. From the temperature-dependence of the specific heat, it is found that the lowest excitation energy is 4J for even-leg ladders while it is 2J otherwise, The physical origin of these behaviors is discussed based on the structure of excitations.

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