Phase transitions in topological lattice models via topological symmetry breaking
We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detai...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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IOP Publishing
2012
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| _version_ | 1797082311111475200 |
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| author | Burnell, F Simon, S Slingerland, J |
| author_facet | Burnell, F Simon, S Slingerland, J |
| author_sort | Burnell, F |
| collection | OXFORD |
| description | We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detail a transition between a fully gapped achiral 2D p-wave superconductor (p + ip for pseudo-spin up/p - ip for pseudo-spin down) to an s-wave superconductor. We show in particular that this transition is of the 2D transverse field Ising universality class. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. |
| first_indexed | 2024-03-07T01:26:21Z |
| format | Journal article |
| id | oxford-uuid:921c5210-cd42-46fd-b744-e1bddd6715e1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:26:21Z |
| publishDate | 2012 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:921c5210-cd42-46fd-b744-e1bddd6715e12022-03-26T23:23:18ZPhase transitions in topological lattice models via topological symmetry breakingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:921c5210-cd42-46fd-b744-e1bddd6715e1EnglishSymplectic Elements at OxfordIOP Publishing2012Burnell, FSimon, SSlingerland, JWe study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detail a transition between a fully gapped achiral 2D p-wave superconductor (p + ip for pseudo-spin up/p - ip for pseudo-spin down) to an s-wave superconductor. We show in particular that this transition is of the 2D transverse field Ising universality class. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. |
| spellingShingle | Burnell, F Simon, S Slingerland, J Phase transitions in topological lattice models via topological symmetry breaking |
| title | Phase transitions in topological lattice models via topological symmetry breaking |
| title_full | Phase transitions in topological lattice models via topological symmetry breaking |
| title_fullStr | Phase transitions in topological lattice models via topological symmetry breaking |
| title_full_unstemmed | Phase transitions in topological lattice models via topological symmetry breaking |
| title_short | Phase transitions in topological lattice models via topological symmetry breaking |
| title_sort | phase transitions in topological lattice models via topological symmetry breaking |
| work_keys_str_mv | AT burnellf phasetransitionsintopologicallatticemodelsviatopologicalsymmetrybreaking AT simons phasetransitionsintopologicallatticemodelsviatopologicalsymmetrybreaking AT slingerlandj phasetransitionsintopologicallatticemodelsviatopologicalsymmetrybreaking |