Chiral Topological Elasticity and Fracton Order.
Chiral Topological Elasticity and Fracton Order.
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手性拓扑弹性和分形阶。
DOI：
10.1103/physrevlett.122.076403
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发表时间：
2017
影响因子：
8.6
通讯作者：
A. Gromov
中科院分区：
文献类型：
--
作者：
A. Gromov
我们分析了“高阶”规范理论，捕捉一些现象的分形阶。结果表明，这些理论失去规范不变性时，任意弱和光滑的曲率引入。我们提出了一个解决这个问题，通过引入一个理论不变下保持面积的规范同态，降低到更高的秩规范变换后，在平坦的背景下线性化。所提出的理论是几何的性质，并解释为手征拓扑弹性理论。这个理论展示了一些分形现象学。我们探讨守恒定律，拓扑激励，线性响应，各种运动学约束，和规范结构的理论。最后，我们强调，黎曼-嘉当几何的结构，我们用来制定的理论，编码的一些分形现象，这表明分形秩序本身是几何的性质。
We analyze the "higher rank" gauge theories that capture some of the phenomenology of the fracton order. It is shown that these theories lose gauge invariance when an arbitrarily weak and smooth curvature is introduced. We propose a resolution to this problem by introducing a theory invariant under area-preserving diffeomorphisms, which reduce to the higher rank gauge transformations upon linearization around a flat background. The proposed theory is geometric in nature and is interpreted as a theory of chiral topological elasticity. This theory exhibits some of the fracton phenomenology. We explore the conservation laws, topological excitations, linear response, various kinematical constraints, and canonical structure of the theory. Finally, we emphasize that the very structure of Riemann-Cartan geometry, which we use to formulate the theory, encodes some of the fracton phenomenology, suggesting that the fracton order itself is geometric in nature.
影响因子：
2.6
作者：
M. Lazar
通讯作者：
M. Lazar