Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-11-12
Phys. Rev. B 64, 115403 (2001)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 3 figures
Scientific paper
10.1103/PhysRevB.64.115403
We study long-range correlations of equilibrium current densities in a two-dimensional mesoscopic system with the time reversal invariance broken by a random or homogeneous magnetic field. Our result is universal, i.e. it does not depend on the type (random potential or random magnetic field) or correlation length of disorder. This contradicts recent sigma-model calculations of Taras-Semchuk and Efetov (TS&E) for the current correlation function, as well as for the renormalization of the conductivity. We show explicitly that the new term in the sigma-model derived by TS&E and claimed to lead to delocalization does not exist. The error in the derivation of TS&E is traced to an incorrect ultraviolet regularization procedure violating current conservation and gauge invariance.
Gornyi Igor V.
Mirlin Alexander D.
Woelfle Peter
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