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Magnetization of disordered ballistic quantum billards
Author(s) -
Braun Daniel,
Gefen Yuval,
Montambaux Gilles
Publication year - 1994
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19945060605
Subject(s) - mesoscopic physics , physics , condensed matter physics , semiclassical physics , mean free path , paramagnetism , magnetic field , quantum , quantum mechanics , electron
We study the magnetic response of mesoscopic quantum dots in the ballistic regime where the mean free path l e is larger that the size L of the sample, yet smaller than L ( K F L ) d −1 . In this regime, disorder plays an important role. Employing a semiclassical picture we calculate the contribution of long tranjectories which are strongly affected by static disorder and which differ sharply from those of clean systems. In the case of a magnetic field, they give rise to a large linear paramagnetic susceptibility (which is disorder independent), whose magnitude is in agreement with recent experimental results. In the case of a Aharonov‐Bohm flux, the susceptibility is disorder dependent and is proportional to the mean free path as in the diffusive regime. We also discuss the corresponding non‐linear susceptibilities.