Classical height models with topological order
Classical height models with topological order
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DOI：
10.1088/0953-8984/23/16/164212
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发表时间：
2011-04-27
影响因子：
2.7
通讯作者：
Henley, Christopher L.
中科院分区：
文献类型：
--
作者：
Henley, Christopher L.
我讨论了一个家庭的物理力学模型，其中（某些类）元素的有限群G占据（有向）边的一个格子;产品周围的任何元格被限制为组身份e。这样的模型可能具有拓扑序，即它的平衡系综具有不同的、与热力学相关的热力学成分，这些成分不能被任何局部序参数所区分。特别地，如果G是非阿贝尔群，则拓扑序可以是非阿贝尔的。标准给出特定模型的可行性，特别是蒙特卡罗更新。
I discuss a family of statistical-mechanics models in which (some classes of) elements of a finite group G occupy the (directed) edges of a lattice; the product around any plaquette is constrained to be the group identity e. Such a model may possess topological order, i.e. its equilibrium ensemble has distinct, symmetry-related thermodynamic components that cannot be distinguished by any local order parameter. In particular, if G is a non-Abelian group, the topological order may be non-Abelian. Criteria are given for the viability of particular models, in particular for Monte Carlo updates.