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arXiv:0810.3824 · Physica A Statistical Mechanics and its Applications

Dynamics of the one-dimensional random transverse Ising model with next-nearest-neighbor interactions

Xiao-Juan Yuan, Xiang-Mu Kong, Zhen-Bo Xu, Zhongqiang Liu

Published Aug 23, 2009• 19 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2009.08.021

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The mean-field phase diagram of a three-dimensional axial-next-nearest-neighbor Ising (ANNNI) model in a transverse field has been studied here. The dynamical modes are found by using the random-phase approximation and the phase diagram is also obtained from the softening condition of these modes. For a one-dimensional ANNNI model in a transverse field, these dynamical modes are obtained here more accurately using a Jordan-Wigner-type transformation (with some approximations). Softening of these modes gives the zero-temperature phase diagram in one dimension.