REVIEW 2 cited by
Elastic deformations and Wigner-Weyl formalism in graphene
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We discuss the tight-binding models of solid state physics with the $Z_2$ sublattice symmetry in the presence of elastic deformations, and their important particular case -the tight binding model of graphene. In order to describe the dynamics of electronic quasiparticles we explore Wigner-Weyl formalism. It allows to calculate the two-point Green's function in the presence of both slowly varying external electromagnetic fields and the inhomogeneous modification of the hopping parameters resulted from the elastic deformations. The developed formalism allows us to consider the influence of elastic deformations and the variations of magnetic field on the quantum Hall effect.
Forward citations
Cited by 2 Pith papers
-
Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field
Interactions do not renormalize the phase-space topological expression for the Hall conductivity in a 2+1D tight-binding model with non-uniform magnetic field, to all orders of perturbation theory.
-
Topological invariant responsible for the integer QHE and non-commutative geometry
The integer quantum Hall invariant N3 is expressed as a K-theory/cyclic-cohomology pairing; it vanishes on finite lattices and is only conditionally integer in the infinite-lattice limit.
Discussion (0). Continue with ORCID to comment.