The a-cycle problem for transverse Ising ring
@article{Dong2016TheAP,
title={The a-cycle problem for transverse Ising ring},
author={Jian-Jun Dong and Peng Li and Qi-Hui Chen},
journal={Journal of Statistical Mechanics: Theory and Experiment},
year={2016},
volume={2016}
}Traditionally, the transverse Ising model is mapped to the fermionic c-cycle problem, which neglects the boundary effect due to thermodynamic limit. If persisting on a perfect periodic boundary condition, we can get a so-called a-cycle problem that has not been treated seriously so far (Lieb et al 1961 Ann. Phys. 16 407). In this work, we show a little surprising but exact result in this respect. We find the odevity of the number of lattice sites, N, in the a-cycle problem plays an unexpected…
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