M. Watanabe et al., ELECTRICAL-PROPERTIES OF ISOTOPICALLY ENRICHED NEUTRON-TRANSMUTATION-DOPED GE-70-GA NEAR THE METAL-INSULATOR-TRANSITION, Physical review. B, Condensed matter, 58(15), 1998, pp. 9851-9857
We report low-temperature carrier transport properties of a series of
nominally uncompensated neutron-transmutation-doped Ce-70:Ga samples v
ery close to the critical concentration N-c for the metal-insulator tr
ansition. The nine samples closest to N-c have Ga concentrations N in
the range 0.99N(c)<N<1.01N(c). The electrical conductivity a has been
measured in the temperature range T = 0.02-1 K. On the metallic side o
f the transition the standard sigma(T) = a + bT(q) with q = 1/2 was ob
served for all the samples except for the two that are closest to N-c
with N between N-c and 1.0015N(c). These samples clearly show q = 1/3.
An extrapolation technique has been developed in order to obtain the
zero-temperature conductivity sigma(0) from sigma(T) With different de
pendence on T. Based on the analysis, nu approximate to 0.5 in the fam
iliar form of sigma(0)proportional to(N/N-c-1)(nu) has been found. On
the insulating side of the transition, variable range hopping resistiv
ity rho(T)proportional to exp(T-0/T)(p) with p = 1/2 has been observed
for all the samples having N<0.991N(c). In this regime T(0)proportion
al to(1 - N/N-c)(alpha) with alpha approximate to 1 as N-->N-c. The va
lues of T-0 agree very well with theoretical estimates based on the mo
dified Efros and Shklovskii relation k(B)T(0)approximate to(2.8e(2)/4
pi epsilon(0)kappa(0)xi(0))(1 - N/N-c)(alpha), where kappa(0) and xi(0
) are the dielectric constant and the Bohr radius, respectively. The i
nsulating samples very close to the transition (0.991N(c)<N<N-c) exhib
it quite a different behavior. In this range lip increases rapidly as
N changes from 0.991N(c) to N-c. The relevance of our findings to the
collapsing of the Coulomb gap is discussed. [S0163-1829(98)05339-9].