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Fracton topological order, generalized lattice gauge theory, and duality
Open accessAbstract
We introduce a generalization of conventional lattice gauge theory to describe fracton topological phases, which are characterized by immobile, pointlike topological excitations, and subextensive topological degeneracy. We demonstrate a duality between fracton topological order and interacting spin systems with symmetries along extensive, lower-dimensional subsystems, which may be used to systematically search for and characterize fracton topological phases. Commutative algebra and elementary algebraic geometry provide an effective mathematical tool set for our results. Our work paves the way for identifying possible material realizations of fracton topological phases.
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Commutative algebra with a view toward algebraic geometry
(1996) · Choice Reviews Online · doi:10.5860/choice.33-4552 · Cited by 3,738
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
Halperin, B. I. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1583 · Cited by 1,532
Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Quantum Field Theory of Many-Body Systems
Wen, X.-G. (2007) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199227259.001.0001 · Cited by 1,349
Fractional Statistics and the Quantum Hall Effect
Arovas, D., Schrieffer, J. R., & Wilczek, F. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.722 · Cited by 1,213
Phase diagrams of lattice gauge theories with Higgs fields
Fradkin, E., & Shenker, S. H. (1979) · Physical Review D · doi:10.1103/physrevd.19.3682 · Cited by 1,017
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
Wegner, F. J. (1971) · Journal of Mathematical Physics · doi:10.1063/1.1665530 · Cited by 1,011
Effective-Field-Theory Model for the Fractional Quantum Hall Effect
Zhang, S. C., Hansson, T. H., & Kivelson, S. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.82 · Cited by 1,003
Wen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
Cited by
Nandkishore, R. M., & Hermele, M. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013604 · Cited by 517
Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians
Sala, P., Rakovszky, T., Verresen, R., Knap, M., & Pollmann, F. (2020) · Physical Review X · doi:10.1103/physrevx.10.011047 · Cited by 432
Decoding across the quantum low-density parity-check code landscape
Roffe, J., White, D. R., Burton, S., & Campbell, E. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043423 · Cited by 192
Measurement as a Shortcut to Long-Range Entangled Quantum Matter
Lu, T.-C., Lessa, L. A., Kim, I. H., & Hsieh, T. H. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.040337 · Cited by 115
Metadata
- Authors
- Vijay, S., Haah, J., & Fu, L.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2016-12-28
- Volume
- 94
- Issue
- 23
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2298547144
- Cited by
- 553
- References
- 30
- FWCI
- 21.89
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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