Circular dichroism as a probe for topology in three-dimensional semimetals
arXiv:2105.05272 · doi:10.1103/PhysRevB.105.235403
Abstract
Higher-pseudospin fermions, associated with multiple band-crossings in topological semimetals, are the condensed matter analogues of higher-spin fermions in high-energy physics. In this paper, we demonstrate that analyzing the response of a circular drive is an effective way to detect the topology of the lowest-energy Bloch band, as it can be connected to a frequency-dependent probe. The dichroic response exhibits circular dichroism due to the differential excitation rates by the left- and right-circular orientations of a time-periodic drive, induced on a filled band, because of the geometrical properties of the Bloch bands. Our analytical approximation reveals that the dichroic response is quantized for isotropic systems, when the frequency of the drive is above a critical value, and thus correctly infers the ground-state Chern number. We demonstrate this through explicit numerical computations by considering three kinds of semimetals with pseudospin values of 1/2, 1, and 3/2, respectively, and all having linear dispersions. Furthermore, we investigate the effects of tilt and anisotropy on the systems, and find that although tilt does not have any effect on the response, the presence of anisotropy can drastically hamper the quantization. Our scheme thus provides an important methodology for designing future experiments to detect the topology of band structures.
arXiv commenttypos fixed
References in corpus (65)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Unpaired Majorana fermions in quantum wires
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Experimental realisation of the topological Haldane model
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Atomic quantum gases in periodically driven optical lattices
- Valley Dependent Optoelectronics from Inversion Symmetry Breaking
- Quantized circular photogalvanic effect in Weyl semimetals
- Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
- Multiple types of topological fermions in transition metal silicides
- Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
- Discovery of topological chiral crystals with helicoid arc states
- Photocurrents in Weyl semimetals
- Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
- Dirac and Weyl Superconductors in Three Dimensions
- Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
- Chiral Optical Response of Multifold Fermions
- Axion response in Weyl semimetals
- Majorana zero modes in a quantum Ising chain with longer-ranged interactions
- Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
- Quantum transport of disordered Weyl semimetals at the nodal point
- Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
- Measuring quantized circular dichroism in ultracold topological matter
- Dichroic f-sum rule and the orbital magnetization of crystals
- Extracting the quantum metric tensor through periodic driving
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy
- Interactions remove the quantization of the chiral photocurrent at Weyl points
- Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
- Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
- Multifold nodal points in magnetic materials
- Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
- Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
- Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systems
- Interplay of Coulomb interactions and disorder in three dimensional quadratic band crossings without time-reversal symmetry and with unequal masses for conduction and valence bands
- Thermopower in an anisotropic two-dimensional Weyl semimetal
- Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
- Observation of multiple types of topological fermions in PdBiSe
- Momentum-space signatures of Berry flux monopoles in a Weyl semimetal
- Detecting monopole charge in Weyl semimetals via quantum interference transport
- Magneto-optical conductivity in generic Weyl semimetals
- d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
- Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
- Tilted disordered Weyl semimetals
- Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
- New quantum critical points of Dirac electrons in antiperovskite topological crystalline insulators
- Effect of interactions on the quantization of the chiral photocurrent for double-Weyl semimetals
- Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
- Observation of a singular Weyl point surrounded by charged nodal walls in PtGa
- Determine the chirality of Weyl fermions from the circular dichroism spectra of time-dependent ARPES
- Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
- Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers
- Dual Haldane sphere and quantized band geometry in chiral multifold fermions
- Circular Dichroism and Radial Hall Effects in Topological Materials
- Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
- Disordered double Weyl node: Comparison of transport and density-of-states calculations
- Disordered double Weyl node
- Exceptional points for chiral Majorana fermions in arbitrary dimensions
- Tunneling in Fermi Systems with Quadratic Band Crossing Points
- Bulk spectroscopic measurement of the topological charge of Weyl nodes with resonant x-rays
- Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class
- Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
- Counting Majorana bound states using complex momenta
- Probing mirror anomaly and classes of Dirac semimetals with circular dichroism
- Neutron scattering off Weyl semimetals
Cited by in corpus (25)
- Non-linear Hall Effects: Mechanisms and Materials
- Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
- Magnus Hall effect in three-dimensional topological semimetals
- Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
- Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
- Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
- Signatures of two- and three-dimensional semimetals from circular dichroism
- Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
- Nonlinear photoconductivities and quantum geometry of chiral multifold fermions
- Weyl points on non-orientable manifolds
- Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
- Topological Circular Dichroism in Chiral Multifold Semimetals
- Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
- Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
- Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
- Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
- Andreev bound states in Josephson junctions of semi-Dirac semimetals
- Chiral anomaly and internode scatterings in multifold semimetals
- Low-Frequency Divergence of Circular Photomagnetic Effect in Topological Semimetals
- Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
- Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
- Nature of Andreev bound states in Josephson junctions of triple-point semimetals
- Chiral anomaly induced magnetoconductances in an irradiated Type-I Weyl Semimetal
- Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
- Orbital optical activity in noncentrosymmetric metals and superconductors