Magnetic Quantum Oscillations of the Longitudinal Conductivity ${\sigma }_{zz}$ in Quasi two-dimensional Metals

Abstract

We derive an analytical expression for the longitudinal magnetoconductivity ${\sigma }_{zz}$ in layered conductors in presence of a quantizing magnetic field perpendicular to the layers and for short-range in-plane impurity scattering in frame of the quantum transport theory. Our derivation points out quite unusual temperature and magnetic field dependences for Shubnikov-de Haas oscillations in the two-dimensional limit, i.e. $\hslash {\omega }_c\gg 4\pi t$, where $t$ is the interlayer hopping integral for electrons, and ${\omega }_c$ the cyclotron frequency. In particular, when $\hslash {\omega }_c\gg 4\pi t$ and $\hslash {\omega }_c\ge 2\pi {\Gamma }_{\mu }$ (here ${\Gamma }_{\mu }$ is the value of the imaginary part of the impurity self-energy at the chemical potential $\mu$), a pseudo-gap centered on integer values of $\mu /\hslash {\omega }_c$ appears in the zero-temperature magnetoconductivity function ${\sigma }_{zz}(\mu /\hslash {\omega }_c)$. At low temperatures, this high-field regime is characterized by a thermally activated behavior of the conductivity minima (when chemical potential $\mu$ lies between Landau levels) in correspondence with the recent observation in the organic conductor ${\beta }^{\prime \prime }{\text{-(BEDT-TTF)}}_2{\text{SF}}_5{\text{CH}}_2{\text{CF}}_2{\text{SO}}_3$.

16 pages, 4 figures, to be published in Phys. Rev. B

References in corpus (4)

• Test for interlayer coherence in a quasi-two-dimensional superconductor
• Coherent vs incoherent interlayer transport in layered metals
• Anomalous beating phase of the oscillating interlayer magnetoresistance in layered metals
• Thermal activation between Landau levels in the organic superconductor ${\beta }^{\prime \prime }$-(BEDT-TTF)${}_2$SF${}_5$CH${}_2$CF${}_2$SO${}_3$

Cited by in corpus (23)

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• Longitudinal interlayer magnetoresistance in quasi-2D metals
• Weakly incoherent magnetotransport in layered metals
• Magnetic-field-induced dimensional crossover in the organic metal $\alpha$-(BEDT-TTF)${}_2$KHg(SCN)${}_4$
• Angular dependence of magnetoresistance in strongly anisotropic quasi-two-dimensional metals for various Landau-level shapes
• Bilayer splitting versus Fermi-surface warping as an origin of slow oscillations of in-plane magnetoresistance in rare-earth tritellurides
• Monotonic growth of interlayer magnetoresistance in strong magnetic field in very anisotropic layered metals
• Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals
• Crossover from the weak to strong-field behavior of the longitudinal interlayer magnetoresistance in quasi-two-dimensional conductors
• The Shubnikov-de Haas effect in multiband quasi-two dimensional metals
• False spin zeros in the angular dependence of magnetic quantum oscillation in quasi-two-dimensional metals
• Slow oscillations of in-plane magnetoresistance in strongly anisotropic quasi-two-dimensional rare-earth tritellurides
• Fermi surface properties of the bifunctional organic metal $\kappa$-(BETS)${}_2$Mn[N(CN)${}_2$]${}_3$ near the metal--insulator transition
• Magnetic quantum oscillations in the charge-density-wave state of the organic metals $\alpha$-(BEDT-TTF)${}_2$MHg(SCN)${}_4$ with M = K and Tl
• Combination quantum oscillations in canonical single-band Fermi liquids
• Comment on "Magnetic quantum oscillations of the conductivity in layered conductors"
• Giant Quantum Oscillations of the Longitudinal Magnetoresistance in Quasi two-dimensional Metals
• Exponential suppression of interlayer conductivity in very anisotropic quasi-two-dimensional compounds in high magnetic field
• Slow in-plane magnetoresistance oscillations in multiband quasi-two-dimensional metals
• Effect of Fermi-liquid interactions on the low-temperature de Haas - van Alphen oscillations in quasi-two-dimensional conductors