Ising Anyons in Frustration-Free Majorana-Dimer Models
Dimer models have long been a fruitful playground for understanding topological physics. Here we introduce a new class-termed Majorana-dimer models-wherein bosonic dimers are decorated with pairs of Majorana modes. We find that the simplest examples of such systems realize an intriguing, intrinsical...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.1069.116 2023-05-15T16:55:49+02:00 Ising Anyons in Frustration-Free Majorana-Dimer Models Brayden Ware Jun Ho Son Meng Cheng Ryan V Mishmash Jason Alicea Bela Bauer The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1069.116 en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1069.116 Metadata may be used without restrictions as long as the oai identifier remains attached to it. https://www.microsoft.com/en-us/research/wp-content/uploads/2016/10/1605.06125.pdf text ftciteseerx 2020-04-26T00:16:56Z Dimer models have long been a fruitful playground for understanding topological physics. Here we introduce a new class-termed Majorana-dimer models-wherein bosonic dimers are decorated with pairs of Majorana modes. We find that the simplest examples of such systems realize an intriguing, intrinsically fermionic phase of matter that can be viewed as the product of a chiral Ising theory, which hosts deconfined non-Abelian quasiparticles, and a topological px − ipy superconductor. While the bulk anyons are described by a single copy of the Ising theory, the edge remains fully gapped. Consequently, this phase can arise in exactly solvable, frustration-free models. We describe two parent Hamiltonians: one generalizes the well-known dimer model on the triangular lattice, while the other is most naturally understood as a model of decorated fluctuating loops on a honeycomb lattice. Using modular transformations, we show that the ground-state manifold of the latter model unambiguously exhibits all properties of the Ising × (px − ipy) theory. We also discuss generalizations with more than one Majorana mode per site, which realize phases related to Kitaev's 16-fold way in a similar fashion. Text IPY Unknown |
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Dimer models have long been a fruitful playground for understanding topological physics. Here we introduce a new class-termed Majorana-dimer models-wherein bosonic dimers are decorated with pairs of Majorana modes. We find that the simplest examples of such systems realize an intriguing, intrinsically fermionic phase of matter that can be viewed as the product of a chiral Ising theory, which hosts deconfined non-Abelian quasiparticles, and a topological px − ipy superconductor. While the bulk anyons are described by a single copy of the Ising theory, the edge remains fully gapped. Consequently, this phase can arise in exactly solvable, frustration-free models. We describe two parent Hamiltonians: one generalizes the well-known dimer model on the triangular lattice, while the other is most naturally understood as a model of decorated fluctuating loops on a honeycomb lattice. Using modular transformations, we show that the ground-state manifold of the latter model unambiguously exhibits all properties of the Ising × (px − ipy) theory. We also discuss generalizations with more than one Majorana mode per site, which realize phases related to Kitaev's 16-fold way in a similar fashion. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Brayden Ware Jun Ho Son Meng Cheng Ryan V Mishmash Jason Alicea Bela Bauer |
spellingShingle |
Brayden Ware Jun Ho Son Meng Cheng Ryan V Mishmash Jason Alicea Bela Bauer Ising Anyons in Frustration-Free Majorana-Dimer Models |
author_facet |
Brayden Ware Jun Ho Son Meng Cheng Ryan V Mishmash Jason Alicea Bela Bauer |
author_sort |
Brayden Ware |
title |
Ising Anyons in Frustration-Free Majorana-Dimer Models |
title_short |
Ising Anyons in Frustration-Free Majorana-Dimer Models |
title_full |
Ising Anyons in Frustration-Free Majorana-Dimer Models |
title_fullStr |
Ising Anyons in Frustration-Free Majorana-Dimer Models |
title_full_unstemmed |
Ising Anyons in Frustration-Free Majorana-Dimer Models |
title_sort |
ising anyons in frustration-free majorana-dimer models |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1069.116 |
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https://www.microsoft.com/en-us/research/wp-content/uploads/2016/10/1605.06125.pdf |
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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1069.116 |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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