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 ${\ensuremath{\rho}}_{xx}\ensuremath{\propto}{H}^{2}$.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevb.107.155120