Abstract
Author(s): Bander, M | Abstract: Investigations of the fractional quantum Hall effect are extended to spatially varying magnetic fields. Approximate single-particle wave functions are proposed and compared with ones obtained by numerical integration. As in the uniform field case, the interacting many-electron system forms an incompressible fluid and has fractionally charged excitations. Field inhomogeneities can trap collective excitations. © 1990 The American Physical Society.
Highlights
Laughlin's wave functioni z for the ground state of a system exhibiting the fractional quantum Hall effect (FQHE) has many remarkable features
Investigations of the fractional quantum Hall effect are extended to spatially varying magnetic fields
Approximate single-particle wave functions are proposed and compared with ones obtained by numerical integration
Summary
Myron Bander Department of Physics, University of California, Irvine, California 98717 (Received 18 October 1989; revised manuscript received 21 December 1989). Investigations of the fractional quantum Hall effect are extended to spatially varying magnetic fields. Approximate single-particle wave functions are proposed and compared with ones obtained by numerical integration. As in the uniform field case, the interacting many-electron system forms an incompressible fluid and has fractionally charged excitations.
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