Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
arXiv:1703.10591 · doi:10.1002/andp.201700405
Abstract
The full spectrum of two-dimensional fermion states in a scalar soliton trap with a Lorentz breaking background is investigated in the context of the novel 2D materials, where the Lorentz symmetry should not be strictly valid. The field theoretical model with Lorentz breaking terms represents Dirac electrons in one valley and in a scalar field background. The Lorentz violation comes from the difference between the Dirac electron and scalar mode velocities, which should be expected when modelling the electronic and lattice excitations in 2D materials. We extend the analytical methods developed in the context of 1+1 field theories to explore the effect of the Lorentz symmetry breaking in the charge carrier density of 2D materials in the presence of a domain wall with a kink profile. The width and the depth of the trapping potential from the kink is controlled by the Lorentz violating term, which is reflected analytically in the band structure and properties of the trapped states. Our findings enlarge previous studies of the edge states obtained with domain wall and in strained graphene nanoribbon in a chiral gauge theory.
References in corpus (49)
- The electronic properties of graphene
- Data Tables for Lorentz and CPT Violation
- Strong nonlinear optical response of graphene flakes measured by four-wave mixing
- Colloquium: The transport properties of graphene: An introduction
- Gauge fields in graphene
- Topological confinement in bilayer graphene
- Electronic properties of graphene-based bilayer systems
- Axion dark matter from topological defects
- Domain walls in gapped graphene
- Gate-controlled topological conducting channels in bilayer graphene
- Direct imaging of topological edge states at a bilayer graphene domain wall
- Topologically induced local P and CP violation in QCD x QED
- Chiral Gauge Theory for Graphene
- Spectral analysis of topological defects in an artificial spin-ice lattice
- Vortices and Other Topological Solitons in Dense Quark Matter
- Bags, junctions, and networks of BPS and non-BPS defects
- Electron fractionalization for two-dimensional Dirac fermions
- Gauge fields, ripples and wrinkles in graphene layers
- Defect Structures in Lorentz and CPT Violating Scenarios
- Two-Dimensional Quantum ring in a Graphene Layer in the presence of a Aharonov-Bohm flux
- Acoustic Black Holes from Abelian Higgs Model with Lorentz Symmetry Breaking
- Manifestations of topological effects in graphene
- General solutions for some classes of interacting two field kinks
- Fermion localization on degenerate and critical branes
- Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
- Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking
- Consequences of vacuum polarization on electromagnetic waves in a Lorentz-symmetry breaking scenario
- Coupled wire model of symmetric Majorana surfaces of topological superconductors
- Bound states of massive fermions in the Aharonov--Bohm-like fields
- Lorentz-violating effects on topological defects generated by two real scalar fields
- Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
- Traveling solitons in Lorentz-violating systems
- Singular elastic strains and magnetoconductance of suspended graphene
- Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
- Fermions on one or fewer Kinks
- Generalized BPS magnetic monopoles
- Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
- Two field BPS solutions for generalized Lorentz breaking models
- Vortex and gap generation in gauge models of graphene
- Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
- Optical conductivity of curved graphene
- Soliton Trap in Strained Graphene Nanoribbons
- Charge confinement and Klein tunneling from doping graphene
- Topological effects and particle-physics analogies beyond the massless Dirac-Weyl fermion in graphene nanorings
- A supersymmetric model for graphene
- Dynamical gap generation in graphene nanoribbons: An effective relativistic field theoretical model
- Analytical BPS Maxwell-Higgs vortices
- Optical Dichroism by Nonlinear Excitations in Graphene Nanoribbons
- Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling