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Article: Nernst and Seebeck effects in a graphene nanoribbon

TitleNernst and Seebeck effects in a graphene nanoribbon
Authors
KeywordsPhysics
Issue Date2009
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B: Condensed Matter and Materials Physics, 2009, v. 80 n. 23 article no. 235411 How to Cite?
AbstractThe thermoelectric power, including the Nernst and Seebeck effects, in graphene nanoribbon is studied. By using the nonequilibrium Green’s function combining with the tight-binding Hamiltonian, the Nernst and Seebeck coefficients are obtained. Due to the electron-hole symmetry, the Nernst coefficient is an even function of the Fermi energy while the Seebeck coefficient is an odd function regardless of the magnetic field. In the presence of a strong magnetic field, the Nernst and Seebeck coefficients are almost independent of the chirality and width of the nanoribbon, and they show peaks when the Fermi energy crosses the Landau levels. The height of nth (excluding n=0) peak is [ ln 2/ | n |] for the Nernst effect and is [ln 2/n] for the Seebeck effect. For the zeroth peak, it is abnormal with height [2 ln 2] for the Nernst effect and the peak disappears for the Seebeck effect. When the magnetic field is turned off, however, the Nernst effect is absent and only Seebeck effect exists. In this case, the Seebeck coefficient strongly depends on the chirality of the nanoribbon. The peaks are equidistant for the nanoribbons with zigzag edge but are irregularly distributed for the armchair edge. In particular, for the insulating armchair ribbon, the Seebeck coefficient can be very large near the Dirac point. When the magnetic field varies from zero to large values, the differences among the Seebeck coefficients for different chiral ribbons gradually vanish and the nonzero value of Nernst coefficient appears first near the Dirac point then gradually extends to the whole energy region.
Persistent Identifierhttp://hdl.handle.net/10722/80627
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
Funding AgencyGrant Number
HKSARHKU 704308P
NSF-China10525418
10734110
10821403
Funding Information:

We gratefully acknowledge the financial support by a RGC grant (Grant No. HKU 704308P) from the Government of HKSAR and NSF-China under Grants No. 10525418, No. 10734110, and No. 10821403.

Grants

 

DC FieldValueLanguage
dc.contributor.authorXing, Yen_HK
dc.contributor.authorSun, QFen_HK
dc.contributor.authorWang, Jen_HK
dc.date.accessioned2010-09-06T08:08:32Z-
dc.date.available2010-09-06T08:08:32Z-
dc.date.issued2009en_HK
dc.identifier.citationPhysical Review B: Condensed Matter and Materials Physics, 2009, v. 80 n. 23 article no. 235411en_HK
dc.identifier.issn1098-0121en_HK
dc.identifier.urihttp://hdl.handle.net/10722/80627-
dc.description.abstractThe thermoelectric power, including the Nernst and Seebeck effects, in graphene nanoribbon is studied. By using the nonequilibrium Green’s function combining with the tight-binding Hamiltonian, the Nernst and Seebeck coefficients are obtained. Due to the electron-hole symmetry, the Nernst coefficient is an even function of the Fermi energy while the Seebeck coefficient is an odd function regardless of the magnetic field. In the presence of a strong magnetic field, the Nernst and Seebeck coefficients are almost independent of the chirality and width of the nanoribbon, and they show peaks when the Fermi energy crosses the Landau levels. The height of nth (excluding n=0) peak is [ ln 2/ | n |] for the Nernst effect and is [ln 2/n] for the Seebeck effect. For the zeroth peak, it is abnormal with height [2 ln 2] for the Nernst effect and the peak disappears for the Seebeck effect. When the magnetic field is turned off, however, the Nernst effect is absent and only Seebeck effect exists. In this case, the Seebeck coefficient strongly depends on the chirality of the nanoribbon. The peaks are equidistant for the nanoribbons with zigzag edge but are irregularly distributed for the armchair edge. In particular, for the insulating armchair ribbon, the Seebeck coefficient can be very large near the Dirac point. When the magnetic field varies from zero to large values, the differences among the Seebeck coefficients for different chiral ribbons gradually vanish and the nonzero value of Nernst coefficient appears first near the Dirac point then gradually extends to the whole energy region.-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_HK
dc.relation.ispartofPhysical Review B: Condensed Matter and Materials Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review B: Condensed Matter and Materials Physics. Copyright © American Physical Society.en_HK
dc.subjectPhysics-
dc.titleNernst and Seebeck effects in a graphene nanoribbonen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1098-0121&volume=80&issue=23&spage=235411&epage=&date=2009&atitle=Nernst+and+Seebeck+effects+in+a+graphene+nanoribbonen_HK
dc.identifier.emailXing, Y: xyx@aphy.iphy.ac.cnen_HK
dc.identifier.emailWang, J: jianwang@hkusub.hku.hken_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.80.235411-
dc.identifier.scopuseid_2-s2.0-77954734118-
dc.identifier.hkuros169490en_HK
dc.identifier.issue23 article no. 235411-
dc.identifier.isiWOS:000273228800107-
dc.relation.projectThe first principle study of local heating and heat transport in nano-devices-
dc.identifier.citeulike8347732-

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