Lattice Clifford fractons and their Chern-Simons-like theory
| Autor: | Fontana, Weslei B., Gomes, Pedro R. S., Chamon, Claudio |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | SciPost Phys. Core 4, 012 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhysCore.4.2.012 |
| Popis: | We use Dirac matrix representations of the Clifford algebra to build fracton models on the lattice and their effective Chern-Simons-like theory. As an example we build lattice fractons in odd $D$ spatial dimensions and their $(D+1)$ effective theory. The model possesses an anti-symmetric $K$ matrix resembling that of hierarchical quantum Hall states. The gauge charges are conserved in sub-dimensional manifolds which ensures the fractonic behavior. The construction extends to any lattice fracton model built from commuting projectors and with tensor products of spin-$1/2$ degrees of freedom at the sites. Comment: 50 pages, 3 figures, few comments added |
| Databáze: | arXiv |
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