论文标题
新兴的偶极仪范围和分布量
Emergent Dipole Gauge Fields and Fractons
论文作者
论文摘要
我们提出了纯粹用普通量规场的分裂弹性双重性的实现，涵盖了标准弹性和不相互量的晶体，因为那些描述了扭曲的双层石墨烯，准晶体或更一般的MoiréLattices。我们的构建包括对所有类型的二维缺陷的描述：脱节，位错，脱节和类似点状的缺陷，并考虑到身体力和杂质。部分量规固定后，以张量规场来恢复二元性的原始形式。我们确定每种缺陷与双仪场磁场的耦合，并且从规格不变性中，我们得出了缺陷电流的广义连续性方程以及弹性缺陷的预期迁移率限制。
We present a realization of fracton-elasticity duality purely formulated in terms of ordinary gauge fields, encompassing standard elasticity and incommensurate crystals as those describing twisted bilayer graphene, quasicrystals or more general moiré lattices. Our construction comprises a description of all types of two-dimensional defects: disclinations, dislocations, discompressions and point-like defects, and takes into account body forces and impurities. The original form of the duality in terms of tensor gauge fields is recovered after partial gauge fixing. We identify the coupling of each type of defect to the dual gauge fields, and from gauge invariance we derive generalized continuity equations for the defect currents and the expected mobility restrictions of elasticity defects.
