On the classes of explicit solutions of Dirac, dynamical Dirac and Dirac–Weyl systems with non-vanishing at infinity potentials, their properties and applications
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.11.037
Abstract: Abstract We construct explicitly potentials, Darboux matrix functions and corresponding solutions of Dirac, dynamical Dirac and Dirac–Weyl systems using generalised Backlund-Darboux transformation (GBDT) in the important case of nontrivial initial systems. In this way, we… read more here.
Keywords: dirac dynamical; solutions dirac; dynamical dirac; dirac weyl ... See more keywords
Dirac-Weyl equation on a hyperbolic graphene surface under magnetic fields
Sign Up to like & getrecommendations! Published in 2020 at "Physica E: Low-dimensional Systems and Nanostructures"
DOI: 10.1016/j.physe.2019.113926
Abstract: Abstract In this paper the Dirac-Weyl equation on a hyperbolic surface of graphene under magnetic fields is considered. In order to solve this equation analytically for some cases, we will deal with vector potentials symmetric… read more here.
Keywords: magnetic fields; graphene; equation hyperbolic; equation ... See more keywords
Analysis of Dirac and Weyl points in topological semimetals via oscillation effects
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DOI: 10.1063/10.0003743
Abstract: We calculate the extremal cross-sectional areas and cyclotron masses for the Fermi-surface pockets in Dirac and Weyl topological semimetals. The calculation is carried out for the most general form of the electron energy bands in… read more here.
Keywords: weyl points; topological semimetals; analysis dirac; dirac weyl ... See more keywords
Current-induced second harmonic generation in inversion-symmetric Dirac and Weyl semimetals
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.l161202
Abstract: Second harmonic generation (SHG) is a fundamental nonlinear optical phenomenon widely used both for experimental probes of materials and for application to optical devices. Even-order nonlinear optical responses including SHG generally require breaking of inversion… read more here.
Keywords: inversion; weyl; dirac weyl; weyl semimetals ... See more keywords
Large nonsaturating magnetoresistance and pressure-induced phase transition in the layered semimetal HfTe 2
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.205148
Abstract: Unusual physical properties like large magnetoresistance (MR) and superconductivity occurring in semimetals with Dirac or Weyl points are often linked to their topologically nontrivial band structures. However, there is an increasing number of reports on… read more here.
Keywords: transition; magnetoresistance; mathrm; weyl points ... See more keywords
Failure of Kohn's theorem and the apparent failure of the f -sum rule in intrinsic Dirac-Weyl materials in the presence of a filled Fermi sea
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.155112
Abstract: Kohn's theorem and the $f$-sum rule are powerful theorems, the first applying to translationally invariant single-band electronic systems with parabolic electronic dispersion relations and the second applying to materials in general, that impose restrictions on… read more here.
Keywords: sum rule; kohn theorem; failure; intrinsic dirac ... See more keywords
Computational search for Dirac and Weyl nodes in f -electron antiperovskites
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.205126
Abstract: We present the result of an \textit{ab initio} search for new Dirac materials among inverse perovskites. Our investigation is focused on the less studied class of lanthanide antiperovskites containing heavy $f$-electron elements in the cation… read more here.
Keywords: nodes electron; dirac weyl; computational search; weyl nodes ... See more keywords
Vortex End Majorana Zero Modes in Superconducting Dirac and Weyl Semimetals.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.257001
Abstract: Time-reversal invariant Dirac and Weyl semimetals in three dimensions (3D) can host open Fermi arcs and spin-momentum locking Fermi loops on the surfaces. We find that when they become superconducting with s-wave pairing and the… read more here.
Keywords: zero modes; dirac weyl; majorana zero; dirac ... See more keywords