منابع مشابه
Universal symmetry-protected topological invariants for symmetry-protected topological states
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Symmetry-protected topological (SPT) states are short-range entangled states with a symmetry G. They belong to a ne...
متن کاملSymmetry Protected Topological phases of Quantum Matter
We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting many particle systems, known as Symmetry Protected Topological (SPT) phases. In common with the topological band insulators these states have a bulk gap and no...
متن کاملFermionic Symmetry Protected Topological Phases and Cobordisms
It has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with Z2 symmetry, where Z2 is either time-reversal or an internal symmetry. We find that cobordism classification correctly describes all known Fermionic SPT phases in space dimensionD ≤ 3 and also predicts that ...
متن کاملEquivariant Topological Quantum Field Theory and Symmetry Protected Topological Phases
Short-range entangled topological phases of matter are closely connected to Topological Quantum Field Theory. We use this connection to classify Symmetry Protected Topological Phases in low dimensions, including the case when the symmetry involves time-reversal. To accomplish this, we generalize Turaev’s description of equivariant TQFT to the unoriented case. We show that invertible unoriented ...
متن کاملTopological color code and symmetry-protected topological phases
We study (d − 1)-dimensional excitations in the d-dimensional color code that are created by transversal application of the Rd phase operators on connected subregions of qubits. We find that such excitations are the superpositions of electric charges and can be characterized by the fixed-point wave functions of (d − 1)dimensional bosonic symmetry-protected topological (SPT) phases with (Z2)⊗d s...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2018
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.121.086810