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Article: Numerical study of parametric pumping current in mesoscopic systems in the presence of a magnetic field

TitleNumerical study of parametric pumping current in mesoscopic systems in the presence of a magnetic field
Authors
Issue Date2011
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B (Condensed Matter and Materials Physics), 2011, v. 84 n. 24, article no. 245323, p. 245323-1-245323-9 How to Cite?
AbstractWe numerically study the parametric pumped current when magnetic field is applied both in the adiabatic and nonadiabatic regimes. In particular, we investigate the nature of pumped current for systems with resonance as well as antiresonance. It is found that, in the adiabatic regime, the pumped current changes sign across the sharp resonance with long lifetime, while the nonadiabatic pumped current at finite frequency does not. When the lifetime of the resonant level is short, the behaviors of the adiabatic and nonadiabatic pumped currents are similar with sign changes. Our results show that, at the energy where complete transmission occurs, the adiabatic pumped current is zero, while the nonadiabatic pumped current is nonzero. Different from the resonant case, both the adiabatic and nonadiabatic pumped currents are zero at antiresonance with complete reflection. We also investigate the pumped current when the other system parameters such as magnetic field, pumped frequency, and pumping potentials are varied. Interesting behaviors are revealed. Finally, we study the symmetry relation of the pumped current for several systems with different spatial symmetries upon reversal of magnetic field. Different from the previous theoretical prediction, we find that a system with general inversion symmetry can pump out a finite current in both the adiabatic and nonadiabatic regimes with an approximate relation I(B)I(-B) at small magnetic field. It has been shown theoretically that for systems with reflection symmetry, the pumped current satisfies the relation I(B)=I(-B) in the adiabatic regime. Our results show that even for systems evolving from the inversion to reflection symmetry, the pumped current still obeys the relation I(B)=I(-B) in the adiabatic regime at small magnetic field. © 2011 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/145574
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
Funding AgencyGrant Number
RGCHKU 705409P
University Grant Council, Government of HKSARAoE/P-04/08
University of Hong Kong
NSF-China11174032
Funding Information:

This work was supported by RGC (Grant No. HKU 705409P), University Grant Council (Contract No. AoE/P-04/08) of the Government of HKSAR, and a CRCG grant from the University of Hong Kong. Y.X. Xing is also supported by the NSF-China under Grant No. 11174032. The computational work was partially performed on HPCPOWER2 system of the computer center, The University of Hong Kong.

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DC FieldValueLanguage
dc.contributor.authorXu, Fen_US
dc.contributor.authorXing, Yen_US
dc.contributor.authorWang, Jen_US
dc.date.accessioned2012-02-28T01:55:38Z-
dc.date.available2012-02-28T01:55:38Z-
dc.date.issued2011en_US
dc.identifier.citationPhysical Review B (Condensed Matter and Materials Physics), 2011, v. 84 n. 24, article no. 245323, p. 245323-1-245323-9en_US
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10722/145574-
dc.description.abstractWe numerically study the parametric pumped current when magnetic field is applied both in the adiabatic and nonadiabatic regimes. In particular, we investigate the nature of pumped current for systems with resonance as well as antiresonance. It is found that, in the adiabatic regime, the pumped current changes sign across the sharp resonance with long lifetime, while the nonadiabatic pumped current at finite frequency does not. When the lifetime of the resonant level is short, the behaviors of the adiabatic and nonadiabatic pumped currents are similar with sign changes. Our results show that, at the energy where complete transmission occurs, the adiabatic pumped current is zero, while the nonadiabatic pumped current is nonzero. Different from the resonant case, both the adiabatic and nonadiabatic pumped currents are zero at antiresonance with complete reflection. We also investigate the pumped current when the other system parameters such as magnetic field, pumped frequency, and pumping potentials are varied. Interesting behaviors are revealed. Finally, we study the symmetry relation of the pumped current for several systems with different spatial symmetries upon reversal of magnetic field. Different from the previous theoretical prediction, we find that a system with general inversion symmetry can pump out a finite current in both the adiabatic and nonadiabatic regimes with an approximate relation I(B)I(-B) at small magnetic field. It has been shown theoretically that for systems with reflection symmetry, the pumped current satisfies the relation I(B)=I(-B) in the adiabatic regime. Our results show that even for systems evolving from the inversion to reflection symmetry, the pumped current still obeys the relation I(B)=I(-B) in the adiabatic regime at small magnetic field. © 2011 American Physical Society.-
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B (Condensed Matter and Materials Physics)en_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong Licenseen_US
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Society.-
dc.titleNumerical study of parametric pumping current in mesoscopic systems in the presence of a magnetic fielden_US
dc.typeArticleen_US
dc.identifier.emailXu, F: fumingxu@hku.hken_US
dc.identifier.emailXing, Y: xingyx@hku.hken_US
dc.identifier.emailWang, J: jianwang@hku.hken_US
dc.identifier.authorityXing, Y=rp00819en_US
dc.identifier.authorityWang, J=rp00799en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.84.245323-
dc.identifier.scopuseid_2-s2.0-84855423793-
dc.identifier.hkuros198641en_US
dc.identifier.volume84en_US
dc.identifier.issue24-
dc.identifier.spage245323-1en_US
dc.identifier.epage245323-9en_US
dc.identifier.isiWOS:000298563600007-
dc.publisher.placeUnited States-
dc.relation.projectTheory, Modeling, and Simulation of Emerging Electronics-
dc.relation.projectTheoretical investigation of dynamic response, fluctuations, and charge relaxations in disordered mesoscopic conductors.-

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