On the theory of plateau-plateau transitions in Quantum Hall Effect

Details On the theory of plateau-plateau transitions in Quantum Hall Effect On the theory of plateau-plateau transitions in Quantum Hall Effect

2003-03-18

arxiv.org/abs/cond-mat/0303349v1

Phys.Rev.B68:235329,2003

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, Latex, 3 figures

Scientific paper

10.1103/PhysRevB.68.235329

The Lagrangian (action) formulation of the Chalker-Coddington network model for plateau-plateau transitions in quantum Hall effect is presented based on a model of fermions hopping on Manhattan Lattice ($ML$). The dimensionless Landauer resistance is considered and its average is calculated over the random U(1) phases with constant distribution on the circle. The Lagrangian of the resultant model on $ML$ is found and the corresponding $R$-matrix is written down. It appeared, that this model is integrable, rising hope to investigate physics of plateau- plateau transitions by the exact method of powerful Algebraic Bethe Ansatz $(ABA)$.

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