Phenomenology of a semi-Dirac semi-Weyl semi-metal

Abstract

We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, ${\epsilon }_K=\pm \sqrt{(k_x^2/2m{)}^2+(v{k}_y{)}^2)}=\pm {\epsilon }_0\sqrt{K_x^4+K_y^2}$ in dimensionless units, discovered computationally in oxide heterostructures by Pardo and collaborators. This unique system a highly anisotropic sister phase of both (symmetric) graphene and what has become known as a Weyl semimetal, with $<v_y^2{>}^{1/2}\approx v$ independent of energy, and $<v_x^2{>}^{1/2}\propto m^{-1/2}\sqrt{\epsilon }$ being very strongly dependent on energy ($\epsilon$) and depending only on the effective mass $m$. Each of these systems is distinguished by bands touching (alternatively, crossing) at a point Fermi surface, with one consequence being that for this semi-Dirac system the ratio $|{\chi }_{orb}/{\chi }_{sp}|$ of orbital to spin susceptibilities diverges at low doping. We extend the study of the low-energy behavior of the semi-Dirac system, finding the plasmon frequency to be highly anisotropic while the Hall coefficient scales with carrier density in the usual manner. The Faraday rotation behavior is also reported. For Klein tunneling for normal incidence on an arbitrarily oriented barrier, the kinetic energy mixes both linear (massless) and quadratic (massive) contributions depending on orientation. Analogous to graphene, perfect transmission occurs under resonant conditions, except for the specific orientation that eliminates massless dispersion. Comparisons of the semi-Dirac system are made throughout with both other types of point Fermi surface systems.

12 pages, 5 figures

References in corpus (8)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Giant Faraday rotation in single- and multilayer graphene
• A new magnetic field dependence of Landau levels on a graphene like structure
• Collective modes of the massless Dirac plasma
• A semi-Dirac point in the Hofstadter spectrum
• Mean-field quantum phase transition in graphene and in general gapless systems

Cited by in corpus (39)

• Emergence of a Chern-insulating state from a semi-Dirac dispersion
• Lifshitz transitions, type-II Dirac and Weyl fermions, event horizon and all that
• Orbital magnetism of coupled bands models
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Universality classes of topological phase transitions with higher-order band crossing
• Optical properties of a semi-Dirac material
• Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
• Many-body effects and ultraviolet renormalization in three-dimensional Dirac materials
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• Electronic structure and optic absorption of phosphorene under strain
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
• Collective modes in multi-Weyl semimetals
• Anisotropic effects in two-dimensional materials
• Optical conductivity of black phosphorus with a tunable electronic structure
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• Landau levels, response functions and magnetic oscillations from a generalized Onsager relation
• Anisotropic magneto-optical absorption and linear dichroism in two-dimensional semi-Dirac electron systems
• Signatures of merging Dirac points in optics and transport
• Effect of disorder on 2D topological merging transition from a Dirac semi-metal to a normal insulator
• Photonic Dirac Nodal Line Semimetals Realized by Hyper-crystal
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Valley-Selective Landau-Zener Oscillations in Semi-Dirac p-n Junctions
• Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
• Topological phase transition induced by band structure modulation in a Chern insulator
• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Off-resonant light-induced topological phase transition and thermoelectric transport in semi-Dirac materials
• Anisotropic and tunable optical conductivity of a two-dimensional semi-Dirac system in the presence of elliptically polarized radiation
• Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
• Non-Hermitian semi-Dirac semi-metals
• Andreev bound states in Josephson junctions of semi-Dirac semimetals
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Nonadiabatic transition at a band-touching point
• Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• The electrothermal conductance and heat capacity of black phosphorus