Theory of hopping conduction in two-dimensional impurity band under strong magnetic field

It is shown that the low-temperature conductivity in two-dimensional impurity band of n-type inversion layer under strong magnetic field is $\text{σ}{}_{\mathrm{xx}}\text{(}\text{min}\text{)=σ}{}_0\text{exp}\text{[?(}\text{T}{}_0\text{T}\text{)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{]}$. Therefore the effective conductivity of inversion layer $\text{σ}{}_{\mathrm{<mtext>eff</mtext>}}\text{=}\text{σ}{}^2{}_{\mathrm{xy}}\text{σ}{}_{\mathrm{xx}}\text{(}\text{min}\text{)}$ at Shubnikov-de Haas conductivity minima may be very high at low temperature.