The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Fermions, strings, and gauge fields in lattice spin models
Open accessAbstract
We investigate the general properties of lattice spin models with emerging fermionic excitations. We argue that fermions always come in pairs and their creation operator always has a stringlike structure with the newly created particles appearing at the end points of the string. The physical implication of this structure is that the fermions always couple to a nontrivial gauge field. We present exactly soluble examples of this phenomenon in two and three dimensions. Our analysis is based on an algebraic formula that relates the statistics of a lattice particle to the properties of its hopping operators. This approach has the advantage in that it works in any number of dimensions---unlike the flux-binding picture developed in fractional quantum Hall theory.
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Citations
Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Quantum Orders in an Exact Soluble Model
Wen, X.-G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.016803 · Cited by 422
Self-citation
Cited by
Doping a Mott insulator: Physics of high-temperature superconductivity
Lee, P. A., Nagaosa, N., & Wen, X.-G. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.17 · Cited by 4,506
Self-citationThe Variational Quantum Eigensolver: A review of methods and best practices
Tilly, J., Chen, H., Cao, S., Picozzi, D., Setia, K., Li, Y., Grant, E., Wossnig, L., Rungger, I., Booth, G. H., et al. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.08.003 · Cited by 1,031
Wen, X.-G. (2007) · doi:10.1093/acprof:oso/9780199227259.001.0001/acprof-9780199227259 · Cited by 623
Self-citationBraiding statistics approach to symmetry-protected topological phases
Levin, M., & Gu, Z.-C. (2012) · Physical Review B · doi:10.1103/physrevb.86.115109 · Cited by 580
Self-citationData for "Realizing topologically ordered states on a quantum processor"
Satzinger, K. J. (2021) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.5570481 · Cited by 423
Metadata
- Authors
- Levin, M., & Wen, X.-G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2003-06-20
- Volume
- 67
- Issue
- 24
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1988664331
- Cited by
- 206
- References
- 2
- FWCI
- 3.79
- Type
- journal article
- Language
- en
- Open access
- green
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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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