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Article: Topological phase in a one-dimensional interacting fermion system

TitleTopological phase in a one-dimensional interacting fermion system
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. 19, article no. 195107 How to Cite?
AbstractWe study a one-dimensional (1D) interacting topological model by means of the exact diagonalization method. The topological properties are first examined with the existence of the edge states at half-filling. We find that the topological phases are not only robust to small repulsive interactions, but also are stabilized by small attractive interactions, and also finite repulsive interaction can drive a topological nontrivial phase into a trivial one while the attractive interaction can drive a trivial phase into a nontrivial one. Next we calculate the Berry phase and parity of the bulk system and find that they are equivalent in characterizing the topological phases. With them we obtain the critical interaction strengths and construct part of the phase diagram in the parameters' space. Finally we discuss the effective Hamiltonian at the large-U limit and provide an additional understanding of the numerical results. These results could be realized experimentally using cold atoms trapped in the 1D optical lattice. © 2011 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175196
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGuo, Hen_US
dc.contributor.authorShen, SQen_US
dc.date.accessioned2012-11-26T08:51:30Z-
dc.date.available2012-11-26T08:51:30Z-
dc.date.issued2011en_US
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics, 2011, v. 84 n. 19, article no. 195107en_US
dc.identifier.issn1098-0121en_US
dc.identifier.urihttp://hdl.handle.net/10722/175196-
dc.description.abstractWe study a one-dimensional (1D) interacting topological model by means of the exact diagonalization method. The topological properties are first examined with the existence of the edge states at half-filling. We find that the topological phases are not only robust to small repulsive interactions, but also are stabilized by small attractive interactions, and also finite repulsive interaction can drive a topological nontrivial phase into a trivial one while the attractive interaction can drive a trivial phase into a nontrivial one. Next we calculate the Berry phase and parity of the bulk system and find that they are equivalent in characterizing the topological phases. With them we obtain the critical interaction strengths and construct part of the phase diagram in the parameters' space. Finally we discuss the effective Hamiltonian at the large-U limit and provide an additional understanding of the numerical results. These results could be realized experimentally using cold atoms trapped in the 1D optical lattice. © 2011 American Physical Society.en_US
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 Physicsen_US
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Society-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleTopological phase in a one-dimensional interacting fermion systemen_US
dc.typeArticleen_US
dc.identifier.emailShen, SQ: sshen@hkucc.hku.hken_US
dc.identifier.authorityShen, SQ=rp00775en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1103/PhysRevB.84.195107en_US
dc.identifier.scopuseid_2-s2.0-82655172747en_US
dc.identifier.hkuros242875-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-82655172747&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume84en_US
dc.identifier.issue19en_US
dc.identifier.isiWOS:000296865600003-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridGuo, H=8408926100en_US
dc.identifier.scopusauthoridShen, SQ=7403431266en_US

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