Electrical conductivity of a low-temperature two-dimensional medium
Vul B. M., Zavaritskaya E. I., Zavaritskii V. N.
The surface conductivity σπ of the (111) face of a germanium crystal has been studied over the temperature (T) interval from 1.2 to 4.2 K. At σα S (e2/h ) the surface conductivity σπ varies in proportion to exp( — e/kT), where e is the electron charge, h is the Planck constant, and e is the activation energy. At σα £ {e2/h) the behavior of the conductivity is described by Ασ — σΏ(Τχ) — aa{T)~(e2/4h )ln(7"j/r) as the temperature is lowered from 7\ = 4.2 К to 1.2 K. In the transition region the σπ(Τ) dependence agrees quite well with both descriptions.
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![](/ps/1489/article_22731_800_head.png "The surface conductivity σ<sub>π</sub> of the (111) face of a germanium crystal has been studied over the temperature <i>(T) </i>interval from 1.2 to 4.2 K. At <i>σ<sub>α</sub> S (e<sup>2</sup>/h ) </i>the surface conductivity <i>σ<sub>π</sub> </i>varies in proportion to exp( — <i>e/kT), </i>where <i>e </i>is the electron charge, <i>h </i>is the Planck constant, and <i>e </i>is the activation energy. At σ<sub>α</sub> £ <i>{e<sup>2</sup>/h</i>) the behavior of the conductivity is described by <i>Ασ — σ<sub>Ώ</sub>(Τ<sub>χ</sub>) </i><b><i>— </i></b><i>a<sub>a</sub>{T)~(e<sup>2</sup>/4h </i>)ln(7"j/r) as the temperature is lowered from 7\ = 4.2 К to 1.2 K. In the transition region the <i>σ<sub>π</sub>(Τ) </i>dependence agrees quite well with both descriptions.")