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Ball, R. C.. (2005) Fermions without fermion fields. Physical Review Letters, Vol.95 (No.17). ISSN 0031-9007
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.95.176407
Abstract
It is shown that an arbitrary fermion hopping Hamiltonian can be mapped into a system with no fermion fields, generalizing an earlier model of Levin and Wen. All operators in the Hamiltonian of the resulting description commute (rather than anticommute) when acting at different sites, despite the system having excitations obeying Fermi statistics. While extra conserved degrees of freedom are introduced, they are all locally identified in the representation obtained. The same methods apply to Majorana (half) fermions, which for Cartesian lattices mitigate the fermion doubling problem. The generality of these results suggests that the observation of Fermion excitations in nature does not demand that anticommuting Fermion fields be fundamental.
| Item Type: | Journal Article |
|---|---|
| Alternative Title: | Fermions without fermi fields |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Fermions, Hamiltonian systems |
| Journal or Publication Title: | Physical Review Letters |
| Publisher: | American Physical Society |
| ISSN: | 0031-9007 |
| Date: | 21 October 2005 |
| Volume: | Vol.95 |
| Number: | No.17 |
| Number of Pages: | 4 |
| Identification Number: | 10.1103/PhysRevLett.95.176407 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Open Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/34431 |
Data sourced from Thomson Reuters' Web of Knowledge
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