Appl. Phys. A55, 231-234 (1992)
Applied Solids
Physics A "" Surfaces
© Springer-Verlag 1992
Magnetoconductivity of Thin Epitaxial Silver
R. Schad, S. Heun, T. Heidenblut, and M. Henzler
Universit~it Hannover, Institut f/Jr Festk6rperphysik, Appelstrasse 2, W-3000Hannover 1,
Fed. Rep. Germany (Fax: +49-511/762-4877)
Received 13 March 1992/Accepted 12 June 1992
Films
Abstract. The magnetoconductance (MC) of thin epitaxial
Ag films on Si(lll) surfaces is studied as a function of
film thickness (1-125 monolayers (ML)) at 20 K under ultra
high vacuum (UHV) conditions. Three different regimes of
magnetoconductance are observed depending on the degree
of disorder in the films which is controlled by film thick-
ness and annealing procedures. Thick films (d > 3 ML) with
diffuse electron transport show in the case of large elastic
scattering times 70 a classical, negative MC c( B 2 and in
the case of small T0 a positive MC due to weak localization
effects. The MC of thin films (d < 2 ML) which have a
conductance smaller than e2/h, i.e. localized electron states,
is negative again.
PACS: 73.50.Jt, 73.20.Nz, 73.60.Aq
The conductivity of thin films may be reduced by orders of
magnitude with respect to bulk values of the same mate-
rial for various reasons. Structural defects, impurities, sur-
faces and interfaces have to be considered. The magnetocon-
ductance (MC) provides information to distinguish between
different transport and scattering mechanisms. The classical
MC can be observed in samples with a small degree of dis-
order, i.e. large elastic scattering times T0, following usually
a quadratic dependence of conductance G on the magnetic
field B [1] (WcTO << 1):
G(B) = G(O)/[1 + (w(ro) 2]
--~ G(0)[1 - (wcT0)a], with wc = eB/m. (1)
Sometimes deviations from (1) are observed due to partic-
ularities of the bandstructure [1]. In films with a small TO
(high degree of disorder) the classical MC is suppressed and
new effects can be observed in the MC at low temperatures.
These weak localization (WL) effects are due to coherent
backscattering of the electron waves [4-8]. Prerequisites to
observe these effects are diffuse charge transport and low
temperatures to avoid inelastic scattering of the electrons
which destroy the phase coherence of the electron waves.
Magnetic fields lead to a reduction of WL too, allowing to
investigate this phenomenon by means of the MC [4-8]. Ap-
plying the appropriate theory [6, 7], the MC reveals different
characteristic scattering times (elastic scattering time To, in-
elastic scattering time Ti, spin-orbit scattering time %o and
magnetic scattering time %) that are involved in the electron
transport. Increasing further the disorder diffusive transport
is no more possible since the elctron states are localized
[2, 10, 11]. The MC in this regime of strong localization is
not completely understood yet. Different theoretical predic-
tions and experiments reveal contradictory results [3, 9, 12],
even the sign of the MC is not always the same.
It is the purpose of this paper to study the MC of epitaxial
Ag films with different degrees of disorder. The disorder
depends on film thickness and annealing procedures [13].
The conductivity varies over 6 orders of magnitude in the
thickness range of 1-125 ML. The MC should show, which
scattering and transport mechanisms are important for the
films of a given thickness.
1 Experimental
All preparations and measurements were done in an ultra
high vacuum (UHV) system (base pressure 5 x 10-11 mbar)
as described elsewhere [14]. The substrates are squares of
Si(11 l) wafers with contact areas in the comers and notches
on each side (see Fig. 1). The conductance is measured and
evaluated according to van der Pauw [15]. Special care has
15 mm
Fig. 1. A top view of the sample. In the shaded areas the silicon
is covered with 150nm Mo to ensure a good electrical contact. The
notches are sawed to reduce the influence of contact size onto the van
der Pauw evaluation