TY - JOUR

T1 - Dielectric constant near the Anderson transition

AU - Ortuno, M.

AU - Kaveh, M.

PY - 1984

Y1 - 1984

N2 - The authors study the effect of power-law localisation on the dielectric constant of a noninteracting disordered electron gas. If the envelope of the eigenstate goes as 1/rs, then the authors find a divergent epsilon 1 when s to d/2, where d is the dimensionality. The AC conductivity in this limit is sigma approximately omega 2-ds/. If the states are not pure power law states and psi approximately r-se-r xi /, their results still apply for high frequencies where the characteristic length is smaller than xi and the 1/rs component of psi dominates. It is argued that this power-law correction to psi may explain qualitatively the AC conductivity and its temperature dependence just below the Anderson transition in Si:P. For omega to 0, the authors find epsilon 1(0) approximately xi 2 independent of whether or not a minimum metallic conductivity exists.

AB - The authors study the effect of power-law localisation on the dielectric constant of a noninteracting disordered electron gas. If the envelope of the eigenstate goes as 1/rs, then the authors find a divergent epsilon 1 when s to d/2, where d is the dimensionality. The AC conductivity in this limit is sigma approximately omega 2-ds/. If the states are not pure power law states and psi approximately r-se-r xi /, their results still apply for high frequencies where the characteristic length is smaller than xi and the 1/rs component of psi dominates. It is argued that this power-law correction to psi may explain qualitatively the AC conductivity and its temperature dependence just below the Anderson transition in Si:P. For omega to 0, the authors find epsilon 1(0) approximately xi 2 independent of whether or not a minimum metallic conductivity exists.

UR - http://www.scopus.com/inward/record.url?scp=36149049884&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/17/19/003

DO - 10.1088/0022-3719/17/19/003

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AN - SCOPUS:36149049884

SN - 0022-3719

VL - 17

SP - L487-L491

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 19

M1 - 003

ER -