Magnetoresistance of two-dimensional tight-binding electrons in a weak magnetic field

Unal B., Usta K., KABAK M.

PHYSICA B-CONDENSED MATTER, vol.404, no.16, pp.2364-2368, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 404 Issue: 16
  • Publication Date: 2009
  • Doi Number: 10.1016/j.physb.2009.04.042
  • Journal Name: PHYSICA B-CONDENSED MATTER
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2364-2368
  • Keywords: Magnetoresistance, Disorder, Magnetic field, ANDERSON LOCALIZATION, CONDUCTIVITY, METALS
  • Ankara University Affiliated: Yes

Abstract

We study the Anderson model on a two-dimensional square lattice with an applied weak magnetic field B which causes the hopping matrix elements to have Peierls phase factors. The recursion method is applied and B dependent conductivity sigma(B) is calculated from the Kubo formula for different system sizes N and degree of disorder W. For large W there is no appreciable change of U(B) with B, but its system size dependence is first an increasing and then a decreasing behavior. (C) 2009 Elsevier B.V. All rights reserved.