Optical properties of massive anisotropic tilted Dirac systems

Abstract

We explore the effect of valley-contrasting gaps in the optical response of two-dimensional anisotropic tilted Dirac systems. We study the spectrum of intraband and interband transitions through the joint density of states (JDOS), the optical conductivity tensor, and the Drude spectral weight. The energy bands present an indirect gap in each valley. Thus a new possibility opens for the position of the Fermi level (an ``indirect zone''), and for the momentum space for allowed transitions. The JDOS near each gap displays a set of three van Hove singularities which are in contrast to the case of gapped graphene (an absorption edge only) or 8-$Pmmn$ borophene (two interband critical points due to the tilt). For the Fermi level lying in the gap, the JDOS shows the usual linear dependence on frequency, while when above an indirect zone it looks similar to the borophene case. These spectral characteristics determine the prominent structure of the optical conductivity. The longitudinal conductivity illustrates the strong anisotropy of the optical response. Similarly, the Drude weight is anisotropic and shows regions of nonlinear dependence on the Fermi level. The breaking of valley symmetry leads to a finite Hall response and associated optical properties. The anomalous and valley Hall conductivities present graphene-like behavior with characteristic modifications due to the indirect zones. Almost perfect circular dichroism can be achieved by tuning the exciting frequency with an appropriate Fermi level position. We also calculate the spectra of optical opacity and polarization rotation, which can reach magnitudes of tenths of radians in some cases. The spectral features of the calculated response properties are signatures of the simultaneous presence of tilt and mass and suggest optical ways to determine the formation of different gaps in such class of Dirac systems.

arXiv comment22 pages. 14 figures

References in corpus (52)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Experimental realisation of the topological Haldane model
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Photovoltaic Hall effect in graphene
• Dirac materials
• Semimetallic Two-Dimensional Boron Allotrope with Massless Dirac Fermions
• Giant Faraday rotation in single- and multilayer graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Spatial imaging of the spin Hall effect and current-induced polarization in two-dimensional electron gases
• The Rare Two-Dimensional Materials with Dirac Cones
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Determination of the gate-tunable bandgap and tight-binding parameters in bilayer graphene using infrared spectroscopy
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• Tuning laser-induced bandgaps in graphene
• Electronic properties of 8-Pmmn borophene
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Effect of radiation on transport in graphene
• Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
• Optical conductivity, Drude weight and plasmons in twisted graphene bilayers
• Effect of electron-hole asymmetry on optical conductivity in 8-Pmmn borophene
• Observation of the quantum valley Hall state in ballistic graphene superlattices
• Control of electronic transport in graphene by electromagnetic dressing
• Anisotropic plasmons, Friedel oscillations and dynamical screening in $8-Pmmn$ borophene
• Oblique Klein tunneling in 8-Pmmn borophene p-n junctions
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• Polar Kerr Effect and Time Reversal Symmetry Breaking in Bilayer Graphene
• Metal-Insulator transition in 8-Pmmn Borophene under perpendicular incidence of electromagnetic radiation
• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Anomalous Hall effect in 2D Dirac materials
• Anisotropic longitudinal optical conductivities of tilted Dirac bands in 1T${}^{\prime }$-MoS${}_2$
• Tunable Circular Dichroism and Valley Polarization in the Modified Haldane Model
• Tilted-Cone Induced Cusps and Nonmonotonic Structures in Dynamical Polarization Function of Massless Dirac Fermions
• Universal Faraday rotation in HgTe wells with critical thickness
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response
• Magnetoplasmons of the tilted-anisotropic Dirac cone material $\alpha -$(BEDT-TTF)${}_2$I${}_3$
• Dynamical band gap tuning in Weyl semi-metals by intense elliptically polarized normal illumination and its application to $8-Pmmn$ borophene
• Polarization tensor for tilted Dirac fermion materials: Covariance in deformed Minkowski spacetime
• Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Anomalous heat flow in 8-$Pmmn$ borophene with tilted Dirac cones
• Valley caloritronics in a photodriven hetero-junction of Dirac materials
• Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
• Chern Insulator Phase in a Lattice of an Organic Dirac Semimetal with Intracellular Potential and Magnetic Modulations
• Nonlinear and anisotropic polarization rotation in two dimensional Dirac materials
• Possible Current-Induced Phenomena and Domain Control in an Organic Dirac Fermion System with Weak Charge Ordering
• Experimental Confirmation of Massive Dirac Fermions in Weak Charge-Ordering State in α-(BEDT-TTF)_2I_3
• Anomalous Lorenz number in massive and tilted Dirac systems

Cited by in corpus (26)

• Optical absorption in two-dimensional materials with tilted Dirac cones
• Anisotropic effects in two-dimensional materials
• Quantum kinetic theory of nonlinear thermal current
• Hyperbolic plasmons in massive tilted 2D Dirac materials
• Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
• Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials
• Twisted-bilayer FeSe and the Fe-based superlattices
• Oblique and asymmetric Klein tunneling across smooth NP junctions or NPN junctions in 8-Pmmn borophene
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Highly anisotropic optical conductivities in two-dimensional tilted semi-Dirac bands
• Optical valley separation in two-dimensional semimetals with tilted Dirac cones
• Effects of spatial dimensionality and band tilting on the longitudinal optical conductivities in Dirac bands
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• First-principles calculations of electrical conductivities of edge-modified graphene nanoribbons: strain effect
• Transverse Josephson diode effect in tilted Dirac systems
• Optical conductivity of tilted higher pseudospin Dirac-Weyl cones
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Low-energy effective theory and anomalous Hall effect in monolayer ${\mathrm{WTe}}_2$
• Thermal difference reflectivity of tilted 2D Dirac materials
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Tuned gap in graphene through laser barrier
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Tunable optical bistability of two-dimensional tilted Dirac system
• Designer gapped and tilted Dirac cones in lateral graphene superlattices
• Probing imbalanced Weyl nodes in two-dimensional anisotropic Weyl semimetal via optical conductivity