Persistent current in a disordered mesoscopic ring with many channels: Scattering-matrix based calculation
We calculate numerically the persistent electron current in a disordered quasi-one-dimensional conducting ring with many channels, made of the two-dimensional conductor of finite width W and length L ⪢ W . The elastic mean free path l is limited by two different types of disorder. (i) The impurity d...
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Published in | Physica. E, Low-dimensional systems & nanostructures Vol. 40; no. 5; pp. 1582 - 1585 |
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Main Authors | , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.03.2008
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | We calculate numerically the persistent electron current in a disordered quasi-one-dimensional conducting ring with many channels, made of the two-dimensional conductor of finite width
W and length
L
⪢
W
. The elastic mean free path
l is limited by two different types of disorder. (i) The impurity disorder is modelled (in two dimensions) by the
δ
-function-like-potential barriers with random positions and signs. (ii) Disorder due to the sample-edge roughness is modelled as rectangular steps added or subtracted at random at both sample edges. Transport across disorder is described by the scattering-matrix method. Especially in the sample with disordered sample edges, the calculated typical persistent current exceeds remarkably the theoretical result
I
typ
=
1.56
(
ev
F
/
L
)
(
l
/
L
)
, known to strongly underestimate experimental data. |
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ISSN: | 1386-9477 1873-1759 |
DOI: | 10.1016/j.physe.2007.09.116 |