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.
arXiv comment9 pages, 2 figures
References in corpus (35)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Graphene bilayer with a twist: electronic structure
- Flat Bands in Slightly Twisted Bilayer Graphene
- Graphene Bilayers with a Twist
- Topological Defects in Graphene: Dislocations and Grain Boundaries
- Local stabilizer codes in three dimensions without string logical operators
- Localization of Dirac electrons by Moire patterns in graphene bilayers
- Quantum Glassiness
- Fractons
- Mapping the twist angle and unconventional Landau levels in magic angle graphene
- Twisted Bilayer Graphene: A Phonon Driven Superconductor
- Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
- Fracton-Elasticity Duality
- Strain fields in twisted bilayer graphene
- Fracton hydrodynamics
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Chiral Topological Elasticity and Fracton Order
- Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
- Crystal-to-Fracton Tensor Gauge Theory Dualities
- Spectral statistics in constrained many-body quantum chaotic systems
- Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
- Fractonic line excitations : an inroad from 3d elasticity theory
- Fractons from vector gauge theory
- Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
- Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
- Topological kinematic constraints: quantum dislocations and the glide principle
- Quantum smectic gauge theory
- On duality between Cosserat elasticity and fractons
- Effective Field Theory for Quasicrystals and Phasons Dynamics
- Quantum many-body topology of quasicrystals
- Dual gauge theory formulation of planar quasicrystal elasticity and fractons
- Phasons and the Plastic Deformation of Quasicrystals
- Defects in quasicrystals, revisited I-flips, approximants, phason defects
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- Symmetry Origin of Lattice Vibration Modes in Twisted Multilayer Graphene: Phasons vs Moiré Phonons
- Emergent Dipole Gauge Fields and Fractons
- 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