Longitudinal conductivity in Si/SiGe heterostructure at integer filling factors

Details Longitudinal conductivity in Si/SiGe heterostructure at integer filling factors Longitudinal conductivity in Si/SiGe heterostructure at integer filling factors

2003-07-29

arxiv.org/abs/cond-mat/0307695v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 8 figures (included), accepted in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.68.075321

We have investigated temperature dependence of the longitudinal conductivity $\sigma_{xx}$ at integer filling factors $\nu =i$ for Si/SiGe heterostructure in the quantum Hall effect regime. It is shown that for odd $i$, when the Fermi level $E_{F}$ is situated between the valley-split levels, $\Delta \sigma_{xx}$ is determined by quantum corrections to conductivity caused by the electron-electron interaction: $\Delta\sigma_{xx}(T)\sim \ln T$. For even $i$, when $E_{F}$ is located between cyclotron-split levels or spin-split levels, $\sigma_{xx}\sim \exp[-\Delta_{i}/T]$ for $i=6,10,12$ and $\sim \exp [-(T_{0i}/T)]^{1/2}$ for $i=4,8$. For further decrease of $T$, all dependences $\sigma_{xx}(T)$ tend to almost temperature-independent residual conductivity $\sigma_{i}(0)$. A possible mechanism for $\sigma_{i}(0)$ is discussed.

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