Quantum-Critical Conductivity Scaling for a Metal-Insulator Transition
H.-L. Lee,
1
John P. Carini,
1*
David V. Baxter,
1
W. Henderson,
2
G. Grüner
2
Temperature (T)- and frequency
(
)-dependent conductivity measurements are reported here in
amorphous niobium-silicon alloys with compositions (x) near
the zero-temperature metal-insulator transition. There is a one-to-one
correspondence between the frequency- and temperature-dependent
conductivity on both sides of the critical concentration, thus
establishing the quantum-critical nature of the transition. The
analysis of the conductivity leads to a universal scaling function and
establishes the critical exponents. This scaling can be described by an
x-, T-, and
-dependent characteristic length,
the form of which is derived by experiment.
1 Department of Physics, Indiana University,
Bloomington, IN 47405, USA.
2 Department of Physics,
University of California, Los Angeles, CA 90095-1547, USA.
*
To whom correspondence should be addressed. E-mail:
jcarini{at}indiana.edu