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

Details Magnetic Quantum Oscillations of the Longitudinal Conductivity $σ_{zz}$ in Quasi two-dimensional Metals Magnetic Quantum Oscillations of the Longitudinal Conductivity $σ_{zz}$ in Quasi two-dimensional Metals

2002-10-14

arxiv.org/abs/cond-mat/0210302v1

Physical Review B 66, 195111 (2002).

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.66.195111

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. $\hbar \omega_{c} \gg 4 \pi t$, where $t$ is the interlayer hopping integral for electrons, and $\omega_{c}$ the cyclotron frequency. In particular, when $\hbar \omega_{c} \gg 4 \pi t$ and $\hbar \omega_{c} \geq 2 \pi \Gamma_{\mu}$ (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 $\mu/\hbar\omega_{c}$ appears in the zero-temperature magnetoconductivity function $\sigma_{zz}(\mu/\hbar\omega_{c})$. 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 $\beta''\text{-(BEDT-TTF)}_{2}\text{SF}_{5}\text{CH}_{2}\text{CF}_{2}\text{SO}_ {3}$.

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