Diffusion of Dirac fermions across a topological merging transition in two dimensions
arXiv:1511.00036 · doi:10.1103/PhysRevB.93.125113
Abstract
A continuous deformation of a Hamiltonian possessing at low energy two Dirac points of opposite chiralities can lead to a gap opening by merging of the two Dirac points. In two dimensions, the critical Hamiltonian possesses a semi-Dirac spectrum: linear in one direction but quadratic in the other. We study the transport properties across such a transition, from a Dirac semi-metal through a semi-Dirac phase towards a gapped phase. Using both a Boltzmann approach and a diagrammatic Kubo approach, we describe the conductivity tensor within the diffusive regime. In particular, we show that both the anisotropy of the Fermi surface and the Dirac nature of the eigenstates combine to give rise to anisotropic transport times, manifesting themselves through an unusual matrix self-energy.
15 pages, 14 figures
References in corpus (11)
- The electronic properties of graphene
- A tight-binding approach to uniaxial strain in graphene
- Weak localisation magnetoresistance and valley symmetry in graphene
- Quantum-limited shot noise in graphene
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Merging of Dirac points in a two-dimensional crystal
- Zero modes of tight binding electrons on the honeycomb lattice
- Dirac-point engineering and topological phase transitions in honeycomb optical lattices
- Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
- Topological Protected Dirac Cones in Compressed Bulk Black Phosphorus
- Manipulation of edge states in microwave artificial graphene
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