Abstract

In recent years there has been a growing interest in field theories of fractons, quasiparticles
with restricted mobility. It has been shown [1] that the topological defects of two-dimensional
crystals can be described by such a fracton theory using a duality transformation. In this talk
I will present an extension of this method to the defects of twisted moiré superlattices [2],
most notably twisted bilayer graphene. It reveals even stronger mobility restrictions
compared to usual lattices due to an additional twist stiffness in the Lagrangian.

[1] M. Pretko and L. Radzihovsky, Phys. Rev. Lett. 120, 195301 (2018)
[2] J. Gaa, G. Palle, R. M. Fernandes, J. Schmalian, arXiv:2105.01665 (2021)