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Charge conservation protected topological phases
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 87, no 16, 161103- p.Article in journal (Refereed) Published
Abstract [en]

We discuss the relation between particle number conservation and topological phases. In four spatial dimensions, we find that systems belonging to different topological phases in the presence of a U(1) charge conservation can be connected adiabatically, i.e., without closing the gap, upon intermediately breaking this local symmetry by a superconducting term. The time reversal preserving topological insulator states in two and three dimensions which can be obtained from the four-dimensional parent state by dimensional reduction inherit this protection by charge conservation. Hence, all topological insulators can be adiabatically connected to a trivial insulating state without breaking time reversal symmetry, provided an intermediate superconducting term is allowed during the adiabatic deformation. Conversely, in one spatial dimension, non-symmetry-protected topological phases occur only in systems that break U(1) charge conservation. These results can intuitively be understood by considering a natural embedding of the classifying spaces of charge conserving Hamiltonians into the corresponding Bogoliubov-de Gennes classes.

Place, publisher, year, edition, pages
2013. Vol. 87, no 16, 161103- p.
National Category
Condensed Matter Physics
URN: urn:nbn:se:su:diva-89861DOI: 10.1103/PhysRevB.87.161103ISI: 000317195700001OAI: diva2:621415
Swedish Research Council


Available from: 2013-05-14 Created: 2013-05-14 Last updated: 2013-07-24Bibliographically approved

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Budich, Jan Carl
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