Delta-function-potential junctions with quasiparticles occupying tilted bands with quadratic-in-momentum dispersion
arXiv:2502.12931 · doi:10.1016/j.cap.2025.04.007
Abstract
We continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-function potentials. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponenWe continue our explorations of the transport characteristics in junction-configurations comprising semimetals with quadratic band-crossings, observed in the bandstructures of both two- and three-dimensional materials. Here, we consider short potential barriers/wells modelled by delta-functions. We also generalize our analysis by incorporating tilts in the dispersion. Due to the parabolic nature of the spectra, caused by quadratic-in-momentum dependence, there exist evanescent waves, which decay exponentially as we move away from the junction represented by the location of the delta-function potential. Investigating the possibility of the appearance of bound states, we find that their energies appear as pairs of , reflecting the presence of the imaginary-valued wavevectors at both positive and negative values of energies of the propagating quasiparticles.
follow-up paper of arXiv:2502.06265; journal version
References in corpus (16)
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer 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
- 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