Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-02-07
International Journal of Modern Physics B, 18, 975, 2004
Physics
Condensed Matter
Other Condensed Matter
12 pages, 8 figures
Scientific paper
10.1142/S0217979204024525
Although most insulators are expected to undergo insulator to metal transition on lattice compression, tetrahedral semiconductors Si, GaAs and InSb can become metallic on compression as well as by expansion. We focus on the transition by expansion which is rather peculiar; in all cases the direct gap at $\Gamma$ point closes on expansion and thereafter a zero-gap state persists over a wide range of lattice constant. The solids become metallic at an expansion of 13 % to 15 % when an electron fermi surface around L-point and a hole fermi surface at $\Gamma$-point develop. We provide an understanding of this behavior in terms of arguments based on symmetry and simple tight-binding considerations. We also report results on the critical behavior of conductivity in the metal phase and the static dielectric constant in the insulating phase and find common behaviour. We consider the possibility of excitonic phases and distortions which might intervene between insulating and metallic phases.
Kumar Deepak
Prasad Rajendra
Shukla Nitya Nath
Shukla Shailesh
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