# Quantum Hall Transition in an Array of Quantum Dots

Source: [Quantum Hall Transition in an Array of Quantum Dots](<https://www.sota2.com/research/paper/68fa24422c2a3760193a1a4d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:00:16.554Z

Authors: K. Ziegler

Published: 1996-06-01T12:44:21.000Z

## Abstract

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per plaquette. This model exhibits the Integer Quantum Hall Effect. For $N$ electronic states per quantum dot the limit $N\\to\\infty$ can be solved by a saddle point integration of a supersymmetric field theory. The effect of level statistics on the density of states and the Hall conductivity is compared with the effect of temperature fluctuations.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9606019>)

[PDF](<https://arxiv.org/pdf/cond-mat/9606019.pdf>)