The Quantum Hall Effect in the Absence of Disorder

Abstract

It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e. for the existence of `plateaus' in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.

arXiv comment7 pages, 2 figures

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Cited by in corpus (6)

• The superconductor-insulator transition in absence of disorder
• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Inequivalence of the low-density insulating state and quantum Hall insulating states in a strongly correlated two-dimensional electron system
• Quantum Wigner solid in two-dimensional electron systems in semiconductors