Quantized electric multipole insulators
TLDR
This work introduces a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked and opens a venue for the expansion of the classification of topological phases of matter.Abstract:
The Berry phase provides a modern formulation of electric polarization in crystals. We extend this concept to higher electric multipole moments and determine the necessary conditions and minimal models for which the quadrupole and octupole moments are topologically quantized electromagnetic observables. Such systems exhibit gapped boundaries that are themselves lower-dimensional topological phases. Furthermore, they host topologically protected corner states carrying fractional charge, exhibiting fractionalization at the boundary of the boundary. To characterize these insulating phases of matter, we introduce a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked. We propose three realistic experimental implementations of this topological behavior that can be immediately tested. Our work opens a venue for the expansion of the classification of topological phases of matter.read more
Citations
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Fractional corner charges in a two-dimensional superlattice Bose-Hubbard model
TL;DR: In this article, higher order topology in the presence of strong interactions in a two-dimensional, experimentally accessible superlattice Bose-Hubbard model with alternating hoppings and strong on-site repulsion is studied.
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Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model
TL;DR: In this paper , the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Huges (MBBH) model were studied.
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Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
TL;DR: In this paper, the spontaneous magnetization (i.e., spin polarization) for time-reversal-symmetry-breaking (TRS-breaking) superconductors with unitary pairing potentials, in the absence of external magnetic fields or Zeeman fields was investigated.
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Bulk-corner correspondence of time-reversal symmetric insulators: deduplicating real-space invariants
TL;DR: In this article, partial real-space invariants for the case of materials with time-reversal symmetry and spin-orbit coupling were derived for fractional quantized corner charges localized at the crystal boundaries.
References
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Maximally localized generalized Wannier functions for composite energy bands
Nicola Marzari,David Vanderbilt +1 more
TL;DR: In this paper, a method for determining the optimally localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid is presented, which is suitable for use in connection with conventional electronic-structure codes.
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