Fracton-elasticity duality in twisted moiré superlattices

Gaa, Jonas; Palle, Grgur; Fernandes, Rafael M.; Schmalian, Jörg

doi:10.1103/physrevb.104.064109

Fracton-elasticity duality in twisted moiré superlattices

Journal Article · Fri Aug 13 00:00:00 EDT 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.104.064109· OSTI ID:1835813

^[1]; Palle, Grgur ^[2]; Fernandes, Rafael M. ^[3]; ^[2]

Karlsruhe Inst. of Technology (Germany); University of Minnesota
Karlsruhe Inst. of Technology (Germany)
Univ. of Minnesota, Minneapolis, MN (United States)

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 another type of defects that we dub discompressions. Furthermore, 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. We also generalize our results to other planar incommensurate crystals and quasicrystals.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0020045

OSTI ID:: 1835813

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 6 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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