Optical conductivity of the threefold Hopf semimetal
arXiv:2301.06254 · doi:10.1103/PhysRevB.106.205204
Abstract
A multifold Hopf semimetal is a topological point node semimetal possessing an anisotropy in the internal electronic structure, e.g., the dipole structure of the Berry curvature. In this paper, the unique features of threefold Hopf semimetals in terms of the optical conductivity are theoretically investigated with a minimal theoretical model by using linear response theory for a linearly polarized photon. The frequency spectrum of the optical conductivity shows an anisotropic dependence on the polarization angle of the incident photon even if the electronic band structure is completely isotropic. The longitudinal optical conductivity linearly depends on the photon frequency and possesses step-like changes in the frequency spectrum. The anisotropic electronic structure has a varying the number of steps with the orientation of the photon polarization axis. We reveal that the anisotropy is attributed to symmetries preserving the point node in threefold Hopf semimetals. The linearly polarized photon also induces a Hall current but it vanishes with the photon polarization axis parallel to the Berry dipole axis. The numerical calculations show that these characteristic features can be observed even with a non-zero temperature and disorder.
arXiv comment7 pages, 3 figures
References in corpus (19)
- Dirac semimetal in three dimensions
- Topological nodal semimetals
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
- Topological quantum properties of chiral crystals
- Double Dirac Semimetals in Three Dimensions
- Chiral Optical Response of Multifold Fermions
- Optical Signatures of Weyl Points in TaAs
- Interband optical conductivity of the [001]-oriented Dirac semimetal Cd3As2
- Flat optical conductivity in ZrSiS due to two-dimensional Dirac bands
- Optical Conductivity of Weyl Semimetals and Signatures of the Gapped Semimetal Phase Transition
- Optical signatures of multifold fermions in the chiral topological semimetal CoSi
- Electrodynamics on Fermi Cyclides in Nodal Line Semimetals
- Linear optical conductivity of chiral multifold fermions
- Transport and optics at the node in a nodal loop semimetal
- Optical conductivity of three and two dimensional topological nodal line semimetals
- Dynamical conductivity in topological nodal-line semimetal ZrSiS
- Dynamical conductivity in multiply-degenerate point-nodal semimetal CoSi