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@ARTICLE{Barbarino:864697,
      author       = {Barbarino, S. and Rossini, D. and Rizzi, Matteo and Fazio,
                      R. and Santoro, G. E. and Dalmonte, M.},
      title        = {{T}opological {D}evil’s staircase in atomic two-leg
                      ladders},
      journal      = {New journal of physics},
      volume       = {21},
      number       = {4},
      issn         = {1367-2630},
      address      = {[London]},
      publisher    = {IOP},
      reportid     = {FZJ-2019-04391},
      pages        = {043048 -},
      year         = {2019},
      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.},
      cin          = {PGI-8},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {6212 - Quantum Condensed Matter: Magnetism,
                      Superconductivity (POF3-621)},
      pid          = {G:(DE-HGF)POF3-6212},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000466155900003},
      doi          = {10.1088/1367-2630/ab0e18},
      url          = {https://juser.fz-juelich.de/record/864697},
}