Boundary-obstructed topological phases
نویسندگان
چکیده
Symmetry-protected topological (SPT) phases are gapped of matter that cannot be deformed to a trivial phase without breaking the symmetry or closing bulk gap. Here we introduce notion obstruction is not captured by energy gap closings in periodic boundary conditions. More specifically, given symmetric termination say two Hamiltonians belong distinct obstructed (BOTPs) if they can each other on system with boundaries, but open at least one high-symmetry surface. BOTPs standard sense since adiabatically deformable torus, but, similar SPTs, associated signatures systems such as surface states fractional corner charges. In contrast these anomalous and removed symmetrically adding lower-dimensional SPTs boundary, stable long spectral edges/surfaces remains open. We show double-mirror quadrupole model [W. A. Benalcazar, B. Bernevig, T. L. Hughes, Science 357, 61 (2017)] prototypical example phases, present detailed analysis several aspects obstructions this model. addition, three-dimensional models having obstructions, which characterized either Furthermore, provide complete characterization terms representations. Namely, BOTP correspond equivalent band representations become inequivalent upon restricting group system. This used shown for there only class corresponds local representation thus designated phase. All classes do result necessarily exhibit filling anomaly gapless states.14 MoreReceived 6 September 2019Accepted 2 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013239Published American Physical Society under Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasSurface statesSymmetry protected statesTopological materialsTopological matterCondensed Matter, Materials & Applied Physics
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ژورنال
عنوان ژورنال: Physical review research
سال: 2021
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.3.013239