Quantum Hall effect on the Lobachevsky plane

Abstract

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 effect of the surface curvature is to change the break locations and the plateau widths in the Hall conductivity. An increase of temperature results in smearing of the steps.

arXiv commentsubmitted to Physica B

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Cited by in corpus (9)

• Periodic boundary conditions on the pseudosphere
• Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
• Geometric effects on critical behaviours of the Ising model
• Coupling curvature to a uniform magnetic field; an analytic and numerical study
• Landau levels, self-adjoint extensions and Hall conductivity on a cone
• Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
• Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction
• Aharonov-Bohm effect on the Poincaré disk
• Inertial and topological effects on a 2D electron gas