Numerical analysis of the Novikov problem of a normal metal in a strong magnetic field

Abstract

We present the results of our numerical exploration of the fractal structure found by S.P. Novikov in the problem of the behviour of magnetoresistance in a normal metal under a strong magnetic field. The case we discuss in this paper is the simplest non-trivial one, namely the case of 2 Fermi Surfaces that cut the brillouin zone along of the coordinate axes (i.e. Fermi surfaces have genus 3).