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Massless Dirac-Weyl fermions in aT3optical lattice
Open accessAbstract
We propose an experimental setup for the observation of quasirelativistic massless fermions. It is based on a ${\mathcal{T}}_{3}$ optical lattice, realized by three pairs of counterpropagating lasers, filled with fermionic cold atoms. We show that in the long wavelength approximation the ${\mathcal{T}}_{3}$ Hamiltonian generalizes the Dirac-Weyl Hamiltonian for the honeycomb lattice, however, with a larger value of the pseudospin $S=1$. In addition to the Dirac cones, the spectrum includes a dispersionless branch of localized states producing a finite jump in the atomic density. Furthermore, implications for the Landau levels are discussed.
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Metadata
- Authors
- Bercioux, D., Urban, D. F., Grabert, H., & Häusler, W.
- Affiliations
- University of Freiburg (DE)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-12-01
- Volume
- 80
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1984654887
- Cited by
- 212
- References
- 29
- Citations by year
- 2026: 9 · 2025: 9 · 2024: 21 · 2023: 21 · 2022: 13 · 2021: 24 · 2020: 25 · 2019: 16 · 2018: 11 · 2017: 9 · 2016: 5 · 2015: 10 · 2014: 9 · 2013: 7 · 2012: 8
- FWCI
- 4.27
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OPUS (Augsburg University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- Dirac cones, honeycomb lattice, localized states, Landau levels, ultracold atoms
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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