Non Possum Comprimi Ergo Sum: Skyrmions and Edge States in the Quantum Hall Effect

Details Non Possum Comprimi Ergo Sum: Skyrmions and Edge States in the Quantum Hall Effect Non Possum Comprimi Ergo Sum: Skyrmions and Edge States in the Quantum Hall Effect

1996-01-30

arxiv.org/abs/cond-mat/9601144v1

Physics

Condensed Matter

37 pages, Revtex used, 6 figures. Lecture Notes from NATO ASI "Quantum Transport in Semiconductor Submicron Structures" Bad La

Scientific paper

When the chemical potential of an electron system has a discontinuity at a density $n^{*}$, the system is said to be incompressible and a finite energy is required to create mobile charges in the bulk of the system. The quantum Hall effect is associated with incompressibilities in a two-dimensional electron system that occur at magnetic-field dependent densities, $n^{*}(B)$. In these notes we discuss two aspects of the physics of quantum Hall systems that follow directly from this association.

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