Jeyson Támara-Isaza, Pablo Burset, William J. Herrera
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Microscopic Green's function approach for generalized Dirac Hamiltonians
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 microscopic 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 computing the density of states, scattering probabilities and topological properties of germanene and semiconducting transition metal dichalcogenides, obtaining simple analytical formulas. Our results provide a useful analytical tool with low computational cost for the interpretation of transport experiments on Dirac materials which could be extended to describe additional degrees of freedom like extra layers, superconductivity, etc.
期刊介绍:
Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide.
PRB covers the full range of condensed matter, materials physics, and related subfields, including:
-Structure and phase transitions
-Ferroelectrics and multiferroics
-Disordered systems and alloys
-Magnetism
-Superconductivity
-Electronic structure, photonics, and metamaterials
-Semiconductors and mesoscopic systems
-Surfaces, nanoscience, and two-dimensional materials
-Topological states of matter