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arXiv 1701.08057cond-mat.str-el
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横向场伊辛链中纵向耦合引起的能级交叉

Level crossings induced by a longitudinal coupling in the transverse field Ising chain

Grégoire Vionnet, Brijesh Kumar, Frédéric Mila

摘要:

本文研究了反铁磁纵向耦合对具有最近邻耦合的一维横场伊辛模型的影响。在拓扑阶段,在热力学极限,基态是双重退化,我们表明,对于一个有限的系统的N个网站,纵向耦合诱导N水平交叉之间的两个最低的躺状态作为字段的函数。我们还提供了强有力的论据表明,这些N个水平交叉点都同时出现,只要纵向耦合是switchedon.This结论是基于微扰理论,并映射到开放Kitaev链的问题,我们写下完整的解决方案的马约拉纳费米子。

英文摘要:

We study the effect of antiferromagnetic longitudinal coupling on the one-dimensional transverse field Ising model with nearest-neighbour couplings. In the topological phase where, in the thermodynamic limit, the ground state is twofold degenerate, we show that, for a finite system of N sites, the longitudinal coupling induces N level crossings between the two lowest lying states as a function of the field. We also provide strong arguments suggesting that these N level crossings all appear simultaneously as soon as the longitudinal coupling is switched on. This conclusion is based on perturbation theory, and a mapping of the problem onto the open Kitaev chain, for which we write down the complete solution in terms of Majorana fermions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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