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The Effects of Disorder on the $ν=1$ Quantum Hall State

Ganpathy Murthy
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Abstract

A disorder-averaged Hartree-Fock treatment is used to compute the density of single particle states for quantum Hall systems at filling factor $ν=1$. It is found that transport and spin polarization experiments can be simultaneously explained by a model of mostly short-range effective disorder. The slope of the transport gap (due to quasiparticles) in parallel field emerges as a result of the interplay between disorder-induced broadening and exchange, and has implications for skyrmion localization.

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Ganpathy Murthy. 2001-06-04. The Effects of Disorder on the $ν=1$ Quantum Hall State. https://doi.org/10.1103/physrevb.64.241309

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