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  Time-dependent Landauer-Büttiker approach to charge pumping in ac-driven graphene nanoribbons

Ridley, M., & Tuovinen, R. (2017). Time-dependent Landauer-Büttiker approach to charge pumping in ac-driven graphene nanoribbons. Physical Review B, 96(19): 195429. doi:10.1103/PhysRevB.96.195429.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-A487-D Version Permalink: http://hdl.handle.net/21.11116/0000-0004-9126-D
Genre: Journal Article

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PhysRevB.96.195429.pdf (Publisher version), 892KB
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PhysRevB.96.195429.pdf
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2017
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© American Physical Society

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https://dx.doi.org/10.1103/PhysRevB.96.195429 (Publisher version)
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https://arxiv.org/abs/1708.02826 (Preprint)
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 Creators:
Ridley, M.1, Author
Tuovinen, R.2, Author              
Affiliations:
1The Raymond and Beverley Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, ou_persistent22              
2Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_3012828              

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 Abstract: We apply the recently developed partition-free time-dependent Landauer-Büttiker (TD-LB) formalism to the study of periodically driven transport in graphene nanoribbons (GNRs). When an ac driving is applied, this formalism can be used to prove generic conditions for the existence of a nonzero dc component of the net current (pump current) through the molecular device. Time-reversal symmetry breaking in the driving field is investigated and found to be insufficient for a nonzero pump current. We then derive explicit formulas for the current response to a particular biharmonic bias. We calculate the pump current through different GNR configurations and find that the sign and existence of a nonzero pump current can be tuned by simple alterations to the static parameters of the TD bias. Furthermore, we investigate transient currents in different GNR configurations. We find a selection rule of even and odd harmonic response signals depending on a broken dynamical inversion symmetry in the bias.

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Language(s): eng - English
 Dates: 2017-10-222017-08-092017-11-212017-11-21
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevB.96.195429
arXiv: 1708.02826
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Project name : We would like to thank A. MacKinnon for the suggestion of investigating quantum pumping with the TD-LB formalism. This work was financially supported by the Raymond and Beverly Sackler Center for Computational Molecular and Materials Science, Tel Aviv University (M.R.) and by the DFG (Grant No. SE 2558/2-1) through the Emmy Noether program (R.T.).
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 96 (19) Sequence Number: 195429 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: /journals/resource/954925225008