Comment on "Antilocalization in a 2D Electron Gas in a Random Magnetic Field"

Abstract

In a recent Letter, Taras-Semchuk and Efetov reconsider the problem of electron localization in a random magnetic field in two dimensions. They claim that due to the long-range nature of the vector potential correlations an additional term appears in the effective field theory ($\sigma$-model) of the problem, leading to delocalization at the one-loop level. This calls into question the results of earlier analytical studies, where the random magnetic field problem was mapped onto the conventional unitary-class $\sigma$-model, implying that the leading quantum correction is of two-loop order and of a localizing nature. We show in this Comment, however, that the new term in fact does not exist and was erroneously obtained by Taras-Semchuk and Efetov because of an inconsistent treatment violating gauge invariance.

1 page, 2 figures

References in corpus (2)

• Zero-frequency anomaly in quasiclassical ac transport: Memory effects in a two-dimensional metal with a long-range random potential or random magnetic field
• Antilocalization in a 2D Electron Gas in a Random Magnetic Field

Cited by in corpus (5)

• Spin and orbital effects in a 2D electron gas in a random magnetic field
• Hidden degree of freedom and critical states in a two-dimensional electron gas in the presence of a random magnetic field
• Current correlations and quantum localization in 2D disordered systems with broken time-reversal invariance
• Effect of spin on electron motion in a random magnetic field
• Ballistic transport in random magnetic fields with anisotropic long-ranged correlations