Microscopic origin of scalar potential induced topological transition in massive Dirac fermions and scalar Hall effect
arXiv:2204.06412 · doi:10.1103/PhysRevB.110.125117
Abstract
We present a systematic study of scalar potential induced topological transition in massive Dirac fermions. We show how a distribution of scalar potential can manipulate the signature of the gap or the mass, as well as the dispersion leading to a band inversion. This is mediated by the Klein tunnelling as well as inverse Klein tunnelling which makes it inherently different from the mechanism leading to topological Anderson insulator. In one dimension it can lead to the formation of edge localisation. In two dimensions this can give rise to the quantised Hall effect. Unlike conventional Hall effects, this is induced by a scalar interaction and intrinsic in nature. Therefore we call it a scalar Hall effect. This can facilitate a direct manipulation of topological invariants, e.g. the Chern number, as well as the manipulation of the edge states locally in a trivial insulator and thus opens new possibilities for tuning physical observables which originate from the nontrivial topology.
arXiv comment9 pages with 11 figures
References in corpus (30)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Berry Phase Effects on Electronic Properties
- Anomalous Hall effect
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Chiral tunneling and the Klein paradox in graphene
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Topological Crystalline Insulators
- Dissipationless Quantum Spin Current at Room Temperature
- Topological Insulator Materials
- Topological Anderson Insulator
- Theory of the topological Anderson insulator
- Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation
- A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
- Opportunities in topological insulator devices
- Theoretical search for half-Heusler topological insulators
- Surface states and chiral symmetry on the lattice
- Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
- Magnetism-induced topological transition in EuAs3
- Spin Orbit Torque in two dimensional Antiferromagnetic Topological Insulators
- Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
- Intrinsic and Extrinsic Spin Hall Effects of Dirac Electrons
- Lateral 2D superlattices in GaAs heterostructures with independent control of carrier density and modulation potential
- Non-equilibrium spin density and spin-orbit torque in three dimensional topological insulators - antiferromagnet heterostructure
- Electric field modulation of topological order in thin film semiconductors
- Ultrafast optical generation of antiferromagnetic meron-antimeron pairs with conservation of topological charge
- Persistent current of relativistic electrons on a Dirac ring in presence of impurities
- Signature of topological phases in Zitterbewegung