Web27 aug. 2014 · Gapped domain walls, as topological line defects between topologically ordered states in two spatial dimensions (2D), are examined. Web20 mei 2024 · We use this to define a generalization of the Levin–Wen model with domain walls and point defects. ... [20] Kitaev A and Kong L 2012 Models for gapped boundaries and domain walls Commun. Math. Phys. 313 351. Go to reference in article Crossref Google Scholar [21] ...

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Web20 feb. 2015 · Gapped domain walls, as topological line defects between (2+1)D topologically ordered states, are examined. We provide simple criteria to determine the existence of gapped domain walls, which apply to both Abelian and non-Abelian topological orders. Our criteria also determine which (2+1)D topologic … WebWe introduce exotic gapless states—‘composite Dirac liquids’—that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composite Dirac liquids exhibit a gap to all charg… putin soldaten ukraine

Models for Gapped Boundaries and Domain Walls

WebSuperselection sectors on the domain wall: The main results –domain wall • the 1st and 2nd sectors are new to our knowledge • these can in principle be measured • the 3rd set is the known superselection sectors on gapped domain walls Kitaev, Kong 2011 Idea of the proof: (simplex theorem generalized) for a pair of extreme points of Σ( ): Web27 aug. 2014 · We provide simple criteria to determine the existence of gapped domain walls, which apply to both Abelian and non-Abelian topological orders. Our criteria also … Web7 jun. 2012 · We define a class of lattice models for two-dimensional topological phases with boundary such that both the bulk and the boundary excitations are gapped. The bulk part is constructed using a unitary tensor category {\mathcal C} as in the Levin-Wen … putin russia ukraine news hindi