Ising anyons with a string tension
Ising anyons with a string tension
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具有弦张力的任意子
DOI：
10.1103/physrevb.89.201103
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
J. Vidal
中科院分区：
文献类型：
--
作者：
M. Schulz;S. Dusuel;G. Misguich;K. Schmidt;J. Vidal
本文研究了弦张力作用下伊辛任意子在蜂窝晶格上的弦网模型。这一竞争项诱导了非阿贝尔任意准粒子的非平凡动力学，并可能导致拓扑相的崩溃。使用高阶级数展开和精确的对角化，我们确定的鲁棒性，这被发现是从两个有间隙的阶段分离的双重伊辛相。一个有效的量子二聚体模型出现在大的张力极限，产生两个不同的翻译破缺相。因此，我们得到四个过渡点，其中两个是与一阶过渡，而其他两个被发现是连续的，并提供了最近提出的玻色凝聚的任意子的例子。
We consider the string-net model on the honeycomb lattice for Ising anyons in the presence of a string tension. This competing term induces a nontrivial dynamics of the non-Abelian anyonic quasiparticles and may lead to a breakdown of the topological phase. Using high-order series expansions and exact diagonalizations, we determine the robustness of this doubled Ising phase which is found to be separated from two gapped phases. An effective quantum dimer model emerges in the large tension limit giving rise to two different translation symmetry-broken phases. Consequently, we obtain four transition points, two of which are associated with first-order transitions whereas the two others are found to be continuous and provide examples of recently proposed Bose condensation for anyons.