2015/10/22 by Pramod Padmanabhan, Padmanabhan, Pramod, Miguel Jorge Bernabé Ferreira +3
Decision Sciences · Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Personal Information Management and User Behavior #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1510.06627
openalex publication_date 2015/10/22 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28
Transitions between different topologically ordered phases have been studied\nby artificially creating boundaries between these gapped phases and thus\nstudying their effects relating to condensation and tunneling of particles from\none phase to the other. In this work we introduce exactly solvable models which\nare similar to the quantum double models (QDM) of Kitaev where such domain\nwalls are dynamically generated making them a part of the spectrum. These\nsystems have a local symmetry and may or may not have a global symmetry leading\nto the possibility of a ground state degeneracy arising from both, global\nsymmetry breaking and a topological degeneracy. The domain wall states now\nseparate the different topologically ordered phases belonging to the different\nsectors controlled by the global symmetry, when present. They have interesting\nproperties including fusion with the deconfined anyons of the topologically\nordered phase, to either create new domain walls, or their annihilation. They\ncan also act like a scatterer permuting anyons of the topologically ordered\nphases on either side of the domain wall. Thus these domain wall states can be\nthought of as a synthetic scatterer which can be created in any part of the\nlattice. We show these effects for the simplest case of the \ℤ2\ntoric code phase decorated with a global \ℤ2 symmetry and then make\nremarks about the case when we have the QDM based on two arbitrary groups G1\nand G2 in which case we may no longer have a global symmetry.\n