Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes
arXiv:1901.00006 · doi:10.1103/PhysRevB.99.155120
Abstract
The hydrodynamic description of the Fermi arc surface states is proposed. In view of the strong suppression of scattering on impurities, the hydrodynamic regime for Fermi arc states should be, in principle, plausible. By using the kinetic theory, the Fermi arc hydrodynamics is derived and the corresponding effects on the bulk flow and surface collective modes are studied. For the bulk flow, the key effect of the proposed Fermi arc hydrodynamics is the modification of the corresponding boundary conditions. In a slab geometry, it is shown that, depending on the transfer rates between the surface and bulk, the hydrodynamic flow of the electron fluid inside the slab could be significantly altered and even enhanced near the surfaces. As to the spectrum of the surface collective modes, in agreement with earlier studies, it is found that the Fermi arcs allow for an additional gapless spectrum branch and a strong anisotropy of the surface plasmon dispersion relations in momentum space. The gapped modes are characterized by closed elliptic contours of constant frequency in momentum space.
arXiv comment17 pages, 4 figures; published version
References in corpus (55)
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Weyl Semimetal in a Topological Insulator Multilayer
- Topological Materials: Weyl Semimetals
- Experimental discovery of Weyl semimetal TaAs
- Topological nodal semimetals
- Theory of surface plasmons and surface-plasmon polaritons
- Optical excitations in electron microscopy
- Discovery of a Weyl Fermion semimetal state in NbAs
- Topological response in Weyl semimetals and the chiral anomaly
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
- Theory of universal incoherent metallic transport
- Experimental discovery of a topological Weyl semimetal state in TaP
- Anomalous Hall Effect in Weyl Metals
- Discovery of Weyl fermion semimetals and topological Fermi arc states
- Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Observation of Weyl nodes and Fermi arcs in TaP
- Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Extremely high magnetoresistance and conductivity in the type-II Weyl semimetals WP2 and MoP2
- Negative magnetoresistance in viscous flow of two-dimensional electrons
- Helicity protected ultrahigh mobility Weyl fermions in NbP
- Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP (X = Mo, W)
- Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
- Room-temperature magnetic topological semimetal state in half-metallic Heusler CoTiX (X=Si, Ge, or Sn)
- Surface plasmon polaritons in topological Weyl semimetals
- Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones
- Quantum Transport in Topological Semimetals under Magnetic Fields
- Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
- Atomic Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy/Spectroscopy
- Incoherent transport in clean quantum critical metals
- Visualizing "Fermi arcs" in the Weyl semimetal TaAs
- Universal conductivity and central charges
- Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
- Origin of dissipative Fermi arc transport in Weyl semimetals
- Hydrodynamic transport in strongly coupled disordered quantum field theories
- Theory of acoustic surface plasmons
- Helicons in Weyl semimetals
- Dissolution of topological Fermi arcs in a dirty Weyl semimetal
- Fermi arc plasmons in Weyl semimetals
- Anomalous transport properties of Dirac and Weyl semimetals
- Do the surface Fermi arcs in Weyl semimetals survive disorder?
- Quantum non-local theory of topological Fermi arc plasmons in Weyl semimetals
- Chiral magnetic plasmons in anomalous relativistic matter
- Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
- Stable Weyl points, trivial surface states and particle-hole compensation in WP2
- Magneto-polaritons in Weyl semimetals in a strong magnetic field
- Tunable surface plasmons in Weyl semimetals TaAs and NbAs
- Imaging electronic states on topological semimetals using scanning tunneling microscopy
- Hydrodynamic electron flow in a Weyl semimetal slab: Role of Chern-Simons terms
- Collective excitations in Weyl semimetals in the hydrodynamic regime
- Nonlocal transport in Weyl semimetals in the hydrodynamic regime
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