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

2000/06/27 by R. De Leo, Roberto De Leo, De Leo, Roberto
Engineering · Mathematics · Physics and Astronomy · #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Theoretical and Computational Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0006023

33 pages, 38 figures

arxiv created 2000/06/27 · openalex publication_date 2000/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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