Dislocations and torsion in graphene and related systems

Abstract

A continuum model to study the influence of dislocations on the electronic properties of condensed matter systems is described and analyzed. The model is based on a geometrical formalism that associates a density of dislocations with the torsion tensor and uses the technique of quantum field theory in curved space. When applied to two-dimensional systems with Dirac points like graphene we find that dislocations couple in the form of vector gauge fields similar to these arising from curvature or elastic strain. We also describe the ways to couple dislocations to normal metals with a Fermi surface.

8 pages, 5 figures

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Cited by in corpus (62)

• Gauge fields in graphene
• Novel effects of strains in graphene and other two dimensional materials
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Artificial gauge fields in materials and engineered systems
• Space dependent Fermi velocity in strained graphene
• Hydrodynamics of spin currents
• Torsional chiral magnetic effect in Weyl semimetal with topological defect
• Thermal transport, geometry, and anomalies
• Weyl-Gauge Symmetry of Graphene
• Mixed axial-torsional anomaly in Weyl semimetals
• Parallel Transport of Electrons in Graphene Parallels Gravity
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
• Emergent Horava gravity in graphene
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Hydrodynamics, spin currents and torsion
• Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach
• Chiral torsional effect
• Negative-curvature spacetime solutions for graphene
• Emergent geometry experienced by fermions in graphene in the presence of dislocations
• On an electron in an elastic medium with a spiral dislocation
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• Chiral torsional effect with finite temperature, density and curvature
• (Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
• Holographic correspondence in topological superconductors
• Torsion in quantum field theory through time-loops on Dirac materials
• Lattice field theory with torsion
• Symmetry Breaking and Lattice Kirigami
• Graphene, Dirac equation and analogue gravity
• Symmetry breaking and lattice kirigami: finite temperature effects
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• On chiral responses to geometric torsion
• Geometric Model of Topological Insulators from the Maxwell Algebra
• Torsion at different scales: from materials to the Universe
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Geometric treatment of conduction electron scattering by crystal lattice strains and dislocations
• Landau levels in curved space realized in strained graphene
• Landau Levels in graphene in the presence of emergent gravity
• Curvature-induced pseudogauge fields from time-dependent geometries in graphene
• Dislocation Field Theory in 2D: Application to Graphene
• Demystifying the Holographic Mystique
• Deformation of graphene sheet: Interaction of fermions with phonons
• Specific heat of 2D interacting Majorana fermions from holography
• Chiral current induced by torsional Weyl anomaly
• The Casimir effect for nonlinear sigma models and the Mermin-Wagner-Hohenberg-Coleman theorem
• Graphene as a quantum surface with curvature-strain preserving dynamics
• Low-energy quantum scattering induced by graphene ripples
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• On the isothermal geometry of corrugated graphene sheets
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• A supersymmetric spin current
• Non-free gas of dipoles of non-singular screw dislocations and the shear modulus near the melting
• Non-singular screw dislocations as the Coulomb gas with smoothed out coupling and the renormalization of the shear modulus
• On the material geometry of continuously defective corrugated graphene sheets
• Fermions with Electric Dipole Moment in curved spacetime
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• Motion of membranes in space-times with torsion
• Gauge fields induced by curved spacetime
• Thermal response of the Nieh-Yan term
• The role of torsion in holographic conductivity
• Compensating fields in the Landau local theory and phenomenological description of the electron-phonon interaction
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations