Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6673
Title: Negative partial density of states in mesoscopic systems
Authors: Satpathi, Urbashi
Deo, Singha P.
Keywords: Low dimensional systems
Electron scattering
Friedel sum rule
Issue Date: Dec-2016
Publisher: Elsevier Inc.
Citation: Annals of Physics, 2016, Vol. 375, p491-514
Abstract: Since the experimental observation of quantum mechanical scattering phase shift in mesoscopic systems, several aspects of it have not yet been understood. The experimental observations have also accentuated many theoretical problems related to Friedel sum rule and negativity of partial density of states. We address these problems using the concepts of Argand diagram and Burgers circuit. We can prove the possibility of negative partial density of states in mesoscopic systems. Such a conclusive and general evidence cannot be given in one, two or three dimensions. We can show a general connection between phase drops and exactness of semi classical Friedel sum rule. We also show Argand diagram for a scattering matrix element can be of few classes based on their topology and all observations can be classified accordingly.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/6673
ISSN: 0003-4916
Alternative Location: http://arxiv.org/abs/1506.06954
http://dx.doi.org/10.1016/j.aop.2016.10.005
http://adsabs.harvard.edu/abs/2016AnPhy.375..491S
Copyright: 2016 Elsevier Inc.
Appears in Collections:Research Papers (TP)

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