Fracton-elasticity duality in twisted moiré superlattices
arXiv:2105.01665 · doi:10.1103/PhysRevB.104.064109
Abstract
We formulate a fracton-elasticity duality for twisted moiré superlattices, taking into account that they are incommensurate crystals with dissipative phason dynamics. From a dual tensor-gauge formulation, as compared to standard crystals, we identify twice the number of conserved charges that describe topological lattice defects, namely, disclinations and a new type of defect that we dub discompressions. The key implication of these conservation laws is that both glide and climb motions of lattice dislocations are suppressed, indicating that dislocation networks may become exceptionally stable. Our results also apply to other planar incommensurate crystals and quasicrystals.
9 pages, 2 figures
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- Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
- Fracton gravity from spacetime dipole symmetry
- Topological dipoles of quantum skyrmions
- An effective curved space-time geometric theory of generic twist angle graphene with application to a rotating bilayer configuration
- Non-equilibrium charge-vortex duality
- Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
- Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation