Magnetization of disordered ballistic quantum billards
作者:
Daniel Braun,
Yuval Gefen,
Gilles Montambaux,
期刊:
Annalen der Physik
(WILEY Available online 1994)
卷期:
Volume 506,
issue 6
页码: 467-482
ISSN:0003-3804
年代: 1994
DOI:10.1002/andp.19945060605
出版商: WILEY‐VCH Verlag
关键词: Mesoscopic physics;Orbital magnetism;Statistical properties of spectra
数据来源: WILEY
摘要:
AbstractWe study the magnetic response of mesoscopic quantum dots in the ballistic regime where the mean free pathleis larger that the sizeLof the sample, yet smaller thanL(KFL)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 susceptibil
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