# Metal-Insulator Transition in Two Dimensions in a Nearly Periodic Potential

Source: [Metal-Insulator Transition in Two Dimensions in a Nearly Periodic Potential](<https://www.sota2.com/research/paper/68fa1e377a2b558e29320da0>)

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

Data updated: 2025-10-23T14:26:46.684Z

Authors: K. Ziegler

Published: 2002-06-20T22:29:12.000Z

## Abstract

A two-dimensional gas of non-interacting quasiparticles in a nearly periodic potential is considered at zero temperature. The potential is a superposition of a periodic potential, induced by the charge density wave of a Wigner crystal, and a weak random potential due to disorder. There is a metal-insulator transition that is controlled by the strength of the periodic potential. The transition is continuous in the presence of randomness. We evaluate the density of states, which is non-zero at the Fermi energy in the metallic phase, and the dc conductivity. The latter changes with decreasing modulation of the periodic potential from 0 to $\\sigma\\approx2e^2/h$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0206393>)

[PDF](<https://arxiv.org/pdf/cond-mat/0206393.pdf>)