Relativistic collapse of Landau levels of Kane fermions in crossed electric and magnetic fields

Abstract

Using an elegant model involving only ${\Gamma }_{6c}$ and ${\Gamma }_{8v}$ bands, massless Kane fermions were defined as the particles associated with the peculiar band structure of gapless HgCdTe crystals. Although their dispersion relation resembles that of a pseudo-spin-1 Dirac semimetal, these particles were originally considered to be hybrids of pseudospin-1 and -1/2 fermions. Here we unequivocally find that by considering an additional ${\Gamma }_{7c}$ conduction band inherent in HgCdTe crystals, the Kane fermions are ultimately two nested Dirac particles. This observation allows the direct application of Lorentz transformations to describe the relativistic behavior of these particles in crossed electric and magnetic fields. By studying the relativistic collapse of their Landau levels at different orientations between the crossed fields and the main crystallographic axes, we demonstrate that the Kane fermions strikingly decay into two independent Dirac particles with increasing of electric field. Our results provide new insight into semi-relativistic effects in narrow-gap semiconductors in crossed electric and magnetic fields.

arXiv comment18 pages (with Appendices), 5 figures

References in corpus (22)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Topological nodal semimetals
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Observation of Weyl nodes in TaAs
• Discovery of a Weyl Fermion semimetal state in NbAs
• Double Dirac Semimetals in Three Dimensions
• Novel electric field effects on Landau levels in Graphene
• 3D massless Kane fermions observed in a zinc-blende crystal
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
• Magneto-optical signature of massless Kane electrons in Cd3As2
• Temperature-driven massless Kane fermions in HgCdTe crystals: verification of universal velocity and rest-mass description
• Pressure and temperature driven phase transitions in HgTe quantum wells
• Temperature-driven single-valley Dirac fermions in HgTe quantum wells
• Phase transitions in two tunnel-coupled HgTe quantum wells. Bilayer graphene analogy and beyond
• Large gap quantum spin Hall insulator, massless Dirac fermions and bilayer graphene analogue in InAs/Ga(In)Sb heterostructures
• Massless Dirac fermions in III-V semiconductor quantum wells
• Hybridization of topological surface states with a flat band