Quantum magnetoresistance of Weyl semimetals with strong Coulomb disorder
نویسندگان
چکیده
We study the effects of strong Coulomb disorder on transverse magnetoresistance in Weyl semimetals at low temperatures. Using diagrammatic technique and Keldysh model to sum up leading terms expansion, we find that linear exhibits a renormalization due long-range nature interaction ${\ensuremath{\rho}}_{xx}\ensuremath{\propto}H\phantom{\rule{0.16em}{0ex}}ln(eH\ensuremath{\hbar}{v}^{2}/c{T}_{\mathrm{imp}}^{2}),\phantom{\rule{4pt}{0ex}}\mathrm{\ensuremath{\Omega}}{\ensuremath{\alpha}}^{\ensuremath{-}1/6}\ensuremath{\ll}{T}_{\mathrm{imp}}\ensuremath{\ll}\mathrm{\ensuremath{\Omega}}/{\ensuremath{\alpha}}^{\ensuremath{-}3/4}$, where $\mathrm{\ensuremath{\Omega}}=v\sqrt{2eH\ensuremath{\hbar}/c}$ is distance between zeroth first Landau levels, ${T}_{\mathrm{imp}}=\ensuremath{\hbar}v{n}_{\mathrm{imp}}^{1/3}$ measures strength impurity potential concentration $n$ Fermi velocity $v$, $\ensuremath{\alpha}={e}^{2}/\ensuremath{\hbar}v$ effective fine structure constant material. As becomes even stronger (but still parametric range, can be treated as one), magnetoresistivity quadratic magnetic field ${\ensuremath{\rho}}_{xx}\ensuremath{\propto}{H}^{2}$.
منابع مشابه
Nonlocal Coulomb drag in Weyl semimetals
Nonlocality is one of the most striking signatures of the topological nature of Weyl semimetals. We propose to probe the nonlocality in these materials via a measurement of a magnetic-field-dependent Coulomb drag between two sheets of graphene which are separated by a three-dimensional slab of Weyl semimetal. We predict a mechanism of Coulomb drag, based on cyclotron orbits that are split betwe...
متن کاملPhotocurrents in Weyl semimetals
Ching-Kit Chan,1 Netanel H. Lindner,2 Gil Refael,3 and Patrick A. Lee1 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 2Physics Department, Technion, 320003 Haifa, Israel 3Institute of Quantum Information and Matter and Department of Physics, California Institute of Technology, Pasadena, California 91125, USA (Received 13 August 2016; revised m...
متن کاملQuantum transport of disordered Weyl semimetals at the nodal point.
Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We here address the effect of disorder on charge transport in Weyl semimetals. For a single Weyl node with energy at the degeneracy point and without interactions, theory predicts the existence of a critical disorder strength beyond which the density of states takes on a nonzero value. Predictions for the conductiv...
متن کاملMagnetic torque anomaly in the quantum limit of Weyl semimetals
Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future electronics. Yet the experimental signatures of Weyl-fermions are often subtle and indirect, in particular if they coexist with conventional, massive quasiparticles. H...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.107.155120