Fractons from partons

Fractons from partons
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来自部分子的分式

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
G. B. Hal'asz
G. B. Hal'asz
中科院分区:
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文献类型:
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作者:
T. Hsieh;G. B. Hal'asz

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分形拓扑相具有完全不移动或仅沿某些线或平面移动的分形激励。我们演示了如何根据两种根本不同类型的部子结构来理解这些阶段,其中物理自由度被分解为受紧急规范约束的“部子”自由度簇。首先,我们采用受多个重叠约束的非相互作用部分来描述费米子分数子模型。其次,我们展示了如何使用相互作用的部分来开发新的玻色子分数相模型,包括弦和膜逻辑算子(i型分数相)和分形逻辑算子(ii型分数相)。特别地,我们发现了一种新的ii型模型,它使其信息存储容量达到饱和。我们的分子方法是通用的,超越了精确可解的模型,并提供了一种变分的途径来实现更现实的物理系统中的分相。
Fracton topological phases host fractionalized excitations that are either completely immobile or only mobile along certain lines or planes. We demonstrate how such phases can be understood in terms of two fundamentally different types of parton constructions, in which physical degrees of freedom are decomposed into clusters of "parton" degrees of freedom subject to emergent gauge constraints. First, we employ non-interacting partons subject to multiple overlapping constraints to describe a fermionic fracton model. Second, we demonstrate how interacting partons can be used to develop new models of bosonic fracton phases, both with string and membrane logical operators (type-I fracton phases) and with fractal logical operators (type-II fracton phases). In particular, we find a new type-II model which saturates a bound on its information storage capacity. Our parton approach is generic beyond exactly solvable models and provides a variational route to realizing fracton phases in more physically realistic systems.