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Article: Effective continuous model for surface states and thin films of three-dimensional topological insulators

TitleEffective continuous model for surface states and thin films of three-dimensional topological insulators
Authors
KeywordsAngle-resolved photoemission
Asymmetric distribution
Chern numbers
Continuous models
Energy spectra
Issue Date2010
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/EJ/journal/NJP
Citation
New Journal Of Physics, 2010, v. 12 How to Cite?
AbstractTwo-dimensional (2D) effective continuous models are derived for the surface states and thin films of a three-dimensional topological insulator (3DTI). Starting from an effective model for 3DTI based on first-principles calculations (Zhang et al 2009 Nat. Phys. 5 438), we present solutions for both the surface states in a semi-infinite boundary condition and those in a thin film with finite thickness. The coupling between opposite topological surfaces and structure inversion asymmetry (SIA) gives rise to gapped Dirac hyperbolas with Rashba-like splittings in the energy spectrum. In addition, SIA leads to asymmetric distributions of wavefunctions for the surface states along the film growth direction, making some branches in the energy spectra much harder than others to probe by light. These features agree well with the recent angle-resolved photoemission spectra OfBi2Se3 films grown on SiC substrate (Zhang et al 2009 arXiv:0911.3706). More importantly, using the parameters fitted by experimental data, the result indicates that the thin film Bi2Se3 lies in the quantum spin Hall (QSH) region based on the calculation of the Chern number and Z2 invariant. In addition, strong SIA always tends to destroy the QSH state. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Persistent Identifierhttp://hdl.handle.net/10722/125292
ISSN
2015 Impact Factor: 3.57
2015 SCImago Journal Rankings: 1.902
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of Hong KongHKU 7037/08P
HKU 10/CRF/08
Funding Information:

We thank Ke He and Qi-Kun Xue for providing experimental data prior to publication, and Qian Niu for helpful discussions. This work was supported by the Research Grant Council of Hong Kong under grant numbers HKU 7037/08P and HKU 10/CRF/08.

References

 

DC FieldValueLanguage
dc.contributor.authorShan, WYen_HK
dc.contributor.authorLu, HZen_HK
dc.contributor.authorShen, SQen_HK
dc.date.accessioned2010-10-31T11:22:43Z-
dc.date.available2010-10-31T11:22:43Z-
dc.date.issued2010en_HK
dc.identifier.citationNew Journal Of Physics, 2010, v. 12en_HK
dc.identifier.issn1367-2630en_HK
dc.identifier.urihttp://hdl.handle.net/10722/125292-
dc.description.abstractTwo-dimensional (2D) effective continuous models are derived for the surface states and thin films of a three-dimensional topological insulator (3DTI). Starting from an effective model for 3DTI based on first-principles calculations (Zhang et al 2009 Nat. Phys. 5 438), we present solutions for both the surface states in a semi-infinite boundary condition and those in a thin film with finite thickness. The coupling between opposite topological surfaces and structure inversion asymmetry (SIA) gives rise to gapped Dirac hyperbolas with Rashba-like splittings in the energy spectrum. In addition, SIA leads to asymmetric distributions of wavefunctions for the surface states along the film growth direction, making some branches in the energy spectra much harder than others to probe by light. These features agree well with the recent angle-resolved photoemission spectra OfBi2Se3 films grown on SiC substrate (Zhang et al 2009 arXiv:0911.3706). More importantly, using the parameters fitted by experimental data, the result indicates that the thin film Bi2Se3 lies in the quantum spin Hall (QSH) region based on the calculation of the Chern number and Z2 invariant. In addition, strong SIA always tends to destroy the QSH state. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.en_HK
dc.languageengen_HK
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/EJ/journal/NJPen_HK
dc.relation.ispartofNew Journal of Physicsen_HK
dc.rightsNew Journal of Physics. Copyright © Institute of Physics Publishing Ltd.-
dc.subjectAngle-resolved photoemission-
dc.subjectAsymmetric distribution-
dc.subjectChern numbers-
dc.subjectContinuous models-
dc.subjectEnergy spectra-
dc.titleEffective continuous model for surface states and thin films of three-dimensional topological insulatorsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1367-2630&volume=12 &issue=article no. 043048&spage=&epage=&date=2010&atitle=Effective+continuous+model+for+surface+states+and+thin+films+of+three-dimensional+topological+insulatorsen_HK
dc.identifier.emailLu, HZ: luhz@hku.hken_HK
dc.identifier.emailShen, SQ: sshen@hkucc.hku.hken_HK
dc.identifier.authorityLu, HZ=rp01599en_HK
dc.identifier.authorityShen, SQ=rp00775en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1088/1367-2630/12/4/043048en_HK
dc.identifier.scopuseid_2-s2.0-77952329302en_HK
dc.identifier.hkuros174865en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77952329302&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume12en_HK
dc.identifier.issuearticle no. 043048-
dc.identifier.eissn1367-2630-
dc.identifier.isiWOS:000277355000007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridShan, WY=36093352700en_HK
dc.identifier.scopusauthoridLu, HZ=24376662200en_HK
dc.identifier.scopusauthoridShen, SQ=7403431266en_HK

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