Topological Devil's staircase in atomic two-leg ladders - Kölner UniversitätsPublikationsServer

Barbarino, S., Rossini, D., Rizzi, M., Fazio, R., Santoro, G. E. and Dalmonte, M. (2019). Topological Devil's staircase in atomic two-leg ladders. New J. Phys., 21. BRISTOL: IOP PUBLISHING LTD. ISSN 1367-2630

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DOI:10.1088/1367-2630/ab0e18

Abstract

We show that a hierarchy of topological phases in one dimension-a topological Devil's staircase-can emerge at fractional filling fractions in interacting systems, whose single-particle band structure describes a topological or a crystalline topological insulator. Focusing on a specific example in the BDI class, we present a field-theoretical argument based on bosonization that indicates how the system, as a function of the filling fraction, hosts a series of density waves. Subsequently, based on a numerical investigation of the low-lying energy spectrum, Wilczek-Zee phases, and entanglement spectra, we show that they are symmetry protected topological phases. In sharp contrast to the non-interacting limit, these topological density waves do not follow the bulk-edge correspondence, as their edge modes are gapped. We then discuss how these results are immediately applicable to models in the AIII class, and to crystalline topological insulators protected by inversion symmetry. Our findings are immediately relevant to cold atom experiments with alkaline-earth atoms in optical lattices, where the band structure properties we exploit have been recently realized.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Barbarino, S.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Rossini, D.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Rizzi, M.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Fazio, R.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Santoro, G. E.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Dalmonte, M.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED