Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-02-07
Phys. Rev. B 66, 144201 (2002).
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages, 16 figures; Figs. 1, 7, 9, and 10 have been reduced in quality for e-submission
Scientific paper
10.1103/PhysRevB.66.144201
We establish the existence of a hidden degree of freedom and the critical states of a spinless electron system in a spatially-correlated random magnetic field with vanishing mean. Whereas the critical states are carried by the zero-field contours of the field landscape, the hidden degree of freedom is recognized as being associated with the formation of vortices in these special contours. It is argued that, as opposed to the coherent backscattering mechanism of weak localization, a new type of scattering processes in the contours controls the underlying physics of localization in the random magnetic field system. In addition, we investigate the role of vortices in governing the metal-insulator transition and propose a renormalization-group diagram for the system under study.
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