Microscopic Green's function approach for generalized Dirac Hamiltonians
arXiv:2308.15685 · doi:10.1103/PhysRevB.109.195405
Abstract
The rising interest in Dirac materials, condensed matter systems where low-energy electronic excitations are described by the relativistic Dirac Hamiltonian, entails a need for microscopic effective models to analytically describe their transport properties. Specifically, for the study of quantum transport, these effective models must take into account the effect of atomic-scale interfaces and the presence of well-defined edges while reproducing the correct band structure. We develop a general method to analytically compute the microscopic Green's function of Dirac materials valid for infinite, semi-infinite, and finite two-dimensional layers with zigzag or armchair edge orientations. We test our method by computing the density of states and scattering probabilities of germanene and some transition metal dichalcogenides, obtaining simple analytical formulas. Our results provide a useful analytical tool for the interpretation of transport experiments on Dirac materials and could be extended to describe additional degrees of freedom like extra layers, superconductivity, etc.
17 pages, 15 figures
References in corpus (18)
- The electronic properties of graphene
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
- Electronic States of Graphene Nanoribbons
- k.p theory for two-dimensional transition metal dichalcogenide semiconductors
- Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
- Dirac materials
- Arsenene: Two-dimensional buckled and puckered honeycomb arsenic systems
- The Rare Two-Dimensional Materials with Dirac Cones
- Graphene nanoribbons for quantum electronics
- Edge States and the Quantized Hall Effect in Graphene
- Microscopic theory of the proximity effect in superconductor-graphene nanostructures
- Dirac Green's function approach to graphene-superconductor junctions with well defined edges
- Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
- Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
- Boundary-induced violation of the Dirac fermion parity and its signatures in local and global tunneling spectra of graphene