Crossover from the weak to strong-field behavior of the longitudinal interlayer magnetoresistance in quasi-two-dimensional conductors

Abstract

We investigate the monotonic growth of longitudinal interlayer magnetoresistance \(\bar{R}_{zz}(B_z) \), analytically and numerically in the self-consistent Born approximation. We show that in a weak magnetic field the monotonic part of \(\bar{R}_{zz}(B_z)\) is almost constant and starts to grow only above the crossover field \(B_{c}\), when the Landau levels (LL) become isolated, i.e. when the LL separation becomes greater than the LL broadening. In higher field \(B_{z}>>B_{c}\), \(\bar{R}_{zz}(B_{z}) \propto B_{z}^{1/2}\) in agreement with previous works.