On mobility of electrons in a shallow Fermi sea over a rough seafloor

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Kamran Behnia

Abstract

Several doped semiconductors, in contrast to heavily-doped silicon and germanium, host extremely mobile carriers, which give rise to quantum oscillations detectable in relatively low magnetic fields. The small Fermi energy in these dilute metals quantifies the depth of the Fermi sea. When the carrier density exceeds a threshold, accessible thanks to the long Bohr radius of the parent insulator, the local seafloor is carved by distant dopants. In such conditions, with a random distribution of dopants, the probability of finding an island or a trench depends on on the effective Bohr radius, [Formula: see text] and the carrier density, n. This picture yields an expression for electron mobility with a random distribution of dopants: [Formula: see text] [Formula: see text], in reasonable agreement with the magnitude and concentration dependence of the low-temperature mobility in three dilute metals whose insulating parents are a wide-gap (SrTiO3), a narrow-gap (PbTe) and a 'zero'-gap (TlBiSSe) semiconductor.

References

Feb 4, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·P P EdwardsR Redmer
Apr 7, 2010·Nature Materials·Junwoo SonSusanne Stemmer
Dec 12, 2012·Physical Review Letters·Brian SkinnerB I Shklovskii

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Citations

Jul 29, 2017·Reports on Progress in Physics·P ChandraJ F Scott
May 10, 2020·Advanced Materials·Kazuki MaruhashiMasashi Kawasaki
Mar 25, 2016·Reports on Progress in Physics·Kamran Behnia, Hervé Aubin

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