Dislocation Patterning as a Mechanism for Flat Band Formation

Abstract

We compute the second-order correction to the electronic dispersion relation of a free electron gas interacting with an effective electron-dislocation potential, derived from a modern quantized theory of dislocations. Our results demonstrate that dislocation patterning induces anisotropic flat bands in the electronic dispersion under specific strain fields and directions, referred to as ``magic'' parameters. These flat bands acquire non-zero curvature as the strain or direction deviates from these magic parameters.

References in corpus (26)

• Moire bands in twisted double-layer graphene
• An Exactly Solvable Phase-Field Theory of Dislocation Dynamics, Strain Hardening and Hysteresis in Ductile Single Crystals
• Designing Flat Band by Strain
• Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
• Visualization of the flat electronic band in twisted bilayer graphene near the magic angle twist
• Strain-Enhanced Mobility of Monolayer MoS2
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• Superfluid weight bounds from symmetry and quantum geometry in flat bands
• Heterostrain rules the flat-bands in magic-angle twisted graphene layers
• Topological exact flat bands in two dimensional materials under periodic strain
• A 3D phase field dislocation dynamics model for body-centered cubic crystals
• Screw dislocations in cubic chiral magnets
• Numerical Computation of Two-loop Box Diagrams with Masses
• Loop integration results using numerical extrapolation for a non-scalar integral
• Designer Flat Bands: Topology and Enhancement of Superconductivity
• Topological origin of flat-bands as pseudo-Landau levels in uniaxial strained graphene nanoribbons and induced magnetic ordering due to electron-electron interactions
• Scattering of phonons by quantum dislocations segments in an elastic continuum
• Theory of Electron-Phonon-Dislon Interacting System - Toward a Quantized Theory of Dislocations
• Origami-controlled strain engineering of tunable flat bands and correlated states in folded graphene
• Quantized Dislocations
• Three-dimensional non-Bosonic non-Fermionic quasiparticle through a quantized topological defect of crystal dislocation
• Twisted bilayer BC${}_3$: Valley interlocked anisotropic flat bands
• Automated atomistic simulations of dissociated dislocations with ab initio accuracy
• Time-reversal symmetry breaking from lattice dislocations in superconductors
• Flat bands and superconductivity induced by periodic strain in monolayer graphene