Transmission through rectangular potentials in semimetals featuring quadratic dispersion
arXiv:2502.06265 · doi:10.1016/j.aop.2025.170053
Abstract
We revisit the problem of transmission of quasiparticles through a rectangular potential barrier, for semimetals featuring quadratic-in-momentum band-crossings at a nodal point. Although this was considered in Annals of Physics 419 (2020) 168235, the solutions corresponding to evanescent waves were missed, leading to a partial fulfillment of the boundary conditions required to determine the piecewise-continuous wavefunctions. In this paper, our aim is to correct those shortcomings, recompute the transmission coefficients, and show the resulting behaviour of the conductivity and the Fano factor for some representative parameter values.
corrects the solutions shown in arXiv:2004.06134 by incorporating the missing evanescent waves; journal version
References in corpus (17)
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Quantum-limited shot noise in graphene
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
- Josephson effect in graphene SBS junctions
- Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
- Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
- Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
- Josephson junctions of Weyl and multi-Weyl semimetals
- Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
- Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
- Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
- Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
- Anatomy of plasmons in generic Luttinger semimetals
- Andreev bound states in Josephson junctions of semi-Dirac semimetals
- Nature of Andreev bound states in Josephson junctions of triple-point semimetals