Imperial College London

Emeritus ProfessorAngusMacKinnon

Faculty of Natural SciencesDepartment of Physics

Visiting Professor
 
 
 
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Contact

 

+44 (0)20 7594 7540a.mackinnon Website CV

 
 
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Location

 

812Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Ridley:2016:1/012017,
author = {Ridley, M and MacKinnon, A and Kantorovich, L},
doi = {1/012017},
publisher = {IOP Publishing: Conference Series},
title = {Calculation of the current response in a nanojunction for an arbitrary time-dependent bias:application to the molecular wire},
url = {http://dx.doi.org/10.1088/1742-6596/696/1/012017},
year = {2016}
}

RIS format (EndNote, RefMan)

TY  - CPAPER
AB - PAPER • OPEN ACCESSCalculation of the current response in a nanojunction for an arbitrary time-dependent bias: application to the molecular wireMichael Ridley1,2, Angus MacKinnon2 and Lev Kantorovich1Published under licence by IOP Publishing Ltd Journal of Physics: Conference Series, Volume 696, Number 1 Article PDF12 Total downloadsExport citation and abstractBibTeX RISShare this articleArticle informationAbstractRecently [Phys. Rev. B 91, 125433 (2015)] we derived a general formula for the time-dependent quantum electron current through a molecular junction subject to an arbitrary time-dependent bias within the Wide Band Limit Approximation (WBLA) and assuming a single particle Hamiltonian. Here we present an efficient numerical scheme for calculating the current and particle number. Using the Padé expansion of the Fermi function, it is shown that all frequency integrals occurring in the general formula for the current can be removed analytically. When the bias in the reservoirs is assumed to be sinusoidal it is possible to manipulate the general formula into a form containing only summations over special functions. To illustrate the method, we consider electron transport through a one-dimensional molecular wire coupled to two leads subject to out-of-phase biases. We also investigate finite size effects in the current response and particle number that result from the switch-on of this bias.
AU - Ridley,M
AU - MacKinnon,A
AU - Kantorovich,L
DO - 1/012017
PB - IOP Publishing: Conference Series
PY - 2016///
SN - 1742-6588
TI - Calculation of the current response in a nanojunction for an arbitrary time-dependent bias:application to the molecular wire
UR - http://dx.doi.org/10.1088/1742-6596/696/1/012017
UR - http://hdl.handle.net/10044/1/31047
ER -