Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-09-25
Physical Review B78, 205303 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 10 figures
Scientific paper
10.1103/PhysRevB.78.205303
Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated with the edge state, in contrast to the naive expectation that the correlation simply reduces the effect of disorder. In the presence of correlation, the separation between the successive conductance plateau transitions becomes larger than the bulk Landau level separation determined by the mean value of the disordered magnetic fields. The transition energies coincide with the Landau levels in an effective magnetic field stronger than the mean value of the disordered magnetic field. For a long wire, the strength of this effective magnetic field is of the order of the maximum value of the magnetic fields in the system. It is shown that the effective field is determined by a part where the stronger magnetic field region connects both edges of the wire.
Kawarabayashi Tohru
Kettemann Stefan
Kramer Bernhard
Ohtsuki Tomi
Ono Yoshiyuki
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