Intrinsically gapless topological phases
نویسندگان
چکیده
Topology in quantum matter is typically associated with gapped phases. For example, symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes near boundary. In this work we identify a new mechanism that leads to phases which are not only gapless but where absence of essential. These `intrinsically SPT phases' have no counterpart and hence also distinct from recently discovered examples The essential ingredient these on-site symmetries act an anomalous fashion at low energies. Intrinsically found display several unique properties including (i) impossible realize system same symmetries, (ii) string order parameters likewise forbidden (iii) constraints on phase diagram obtained upon perturbing phase. We verify predictions general theory specific realization by $\mathbb Z_4$ symmetry, one dimensional Ising-Hubbard chain, using both numerical simulations effective field theory. discuss extensions higher dimensions possible experimental realizations.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.104.075132