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Disorder information from conductance: A quantum inverse problem

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Author(s):
Mukim, S. ; Amorim, F. P. ; Rocha, A. R. ; Muniz, R. B. ; Lewenkopf, C. ; Ferreira, M. S.
Total Authors: 6
Document type: Journal article
Source: PHYSICAL REVIEW B; v. 102, n. 7, p. 6-pg., 2020-08-05.
Abstract

It is straightforward to calculate the conductance of a quantum device once all its scattering centers are fully specified. However, to do this in reverse, i.e., to find information about the composition of scatterers in a device from its conductance, is an elusive task. This is particularly more challenging in the presence of disorder. Here we propose a procedure in which valuable compositional information can be extracted from the seemingly noisy spectral conductance of a two-terminal disordered quantum device. In particular, we put forward an inversion methodology that can identify the nature and respective concentration of randomly-distributed impurities by analyzing energy-dependent conductance fingerprints. Results are shown for graphene nanoribbons as a case in point using both tight-binding and density functional theory simulations, indicating that this inversion technique is general, robust, and can be employed to extract structural and compositional information of disordered mesoscopic devices from standard conductance measurements. (AU)

FAPESP's process: 17/02317-2 - Interfaces in materials: electronic, magnetic, structural and transport properties
Grantee:Adalberto Fazzio
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 17/10292-0 - Atomistic simulations of electrochemistry
Grantee:Luana Sucupira Pedroza
Support Opportunities: Research Grants - Young Investigators Grants