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most citedThe Liouville Theory as a Model for Prelocalized States in Disordered Conductors

91 citations · 615 across the 26 of their papers we have counts for

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cond-mat1999★ 82 cited

Towards a Field Theory of the Plateau Transition

M. J. Bhaseen, I. I. Kogan, O. A. Soloviev +2

We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the Integer Quantum Hall effect (IQHE). We argue t…

cond-mat1997★ 4 cited

Dual Response Models for the Fractional Quantum Hall Effect

L. Cooper, I. I. Kogan, A. Lopez +1

It is shown that the Jain mapping between states of integer and fractional quantum Hall systems can be described dynamically as a perturbative renormalization of an effective Chern…

cond-mat1996★ 20 cited

Skyrmions in the quantum Hall effect at finite Zeeman coupling

A. G. Green, I. I. Kogan, A. M. Tsvelik

Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy func…

cond-mat1996★ 91 cited

The Liouville Theory as a Model for Prelocalized States in Disordered Conductors

Ian. I. Kogan, C. Mudry, A. M. Tsvelik

It is established that the distribution of the zero energy eigenfunctions of (2 + 1)-dimensional Dirac electrons in a random gauge potential is described by the Liouville model. Th…

cond-mat1995★ 6 cited

Skyrmion Liquid in SU(2)-invariant Quantum Hall Systems

A. G. Green, I. I. Kogan, A. M. Tsvelik

We report on a theory of the Skyrmion states which occur in quantum Hall regime near certain filling factors. It is shown that in the limit of zero Zeeman splitting in a realistic…

cond-mat1992★ 1 cited

Investigations of Pairing in Anyon Systems

M. I. Dobroliubov, I. I. Kogan, G. W. Semenoff

We investigate pairing instabilities in the Fermi-liquid-like state of a single species of anyons. We describe the anyons as Fermions interacting with a Chern-Simons gauge field an…