M. Kupka, DIFFERENTIAL CONDUCTANCE OF A TUNNELING POINT-CONTACT BETWEEN AN ORDINARY METAL AND MARGINAL-FERMI-LIQUID METAL, Solid state communications, 86(4), 1993, pp. 249-252
We have calculated a differential conductance as a function of applied
voltage for a ''tunneling'' point contact (i.e. point contact with an
insulating barrier at the interface) between an ordinary metal and sy
stem described as marginal Fermi liquid. Obtained differential conduct
ance is nearly proportional to the absolute value of the applied volta
ge for positive as well as negative bias (positive bias corresponds to
the marginal Fermi liquid being positive), but with different proport
ionality factors. If the electronic ''band'' dispersion relation for a
marginal Fermi liquid is chosen in a simple ''particle'' form, the sl
ope of the differential conductance for positive bias is greater then
the one for negative bias. Situation is opposite for the case when the
''band'' dispersion relation is chosen in a simple ''hole'' form. But
for the both cases, the slope of the differential conductance increas
es with increasing coupling constant appearing in the one-particle sel
f-energy of the marginal Fermi liquid.