Quantum Hall effect on the Lobachevsky plane

  • Bulaev D
  • Geyler V
  • Margulis V
  • 5


    Mendeley users who have this article in their library.
  • 8


    Citations of this article.


The Hall conductivity of an electron gas on the surface of constant negative curvature (the Lobachevsky plane) in the presence of an orthogonal magnetic field is investigated. It is shown that the surface curvature decreases the quantum Hall plateau widths and shifts the steps in the Hall conductivity to higher magnetic fields (or to lower values of the chemical potential). An increase of temperature results in smearing of the steps. © 2003 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Lobachevsky plane
  • Quantum Hall effect

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • D. V. Bulaev

  • V. A. Geyler

  • V. A. Margulis

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free