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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Wu, Y.-R., Zhang, X.-F., Liu, C., Liu, W.-M., & Zhang, Y. (2021) · Scientific Reports · doi:10.1038/s41598-021-93007-z · Cited by 19 · see citing works
Omnidirectional transmission and reflection of pseudospin-1 Dirac fermions in a Lieb superlattice
Xu, Y., & Jin, G. (2014) · Physics Letters A · doi:10.1016/j.physleta.2014.09.040 · Cited by 19 · see citing works
Andreev reflection and Josephson effect in the α−T3 lattice
Zhou, X. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.125441 · Cited by 18 · see citing works
Super Klein tunneling in phononic Lieb lattices
Wu, H., He, H., Dong, Z., Ye, L., Deng, W., Ke, M., & Liu, Z. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.21.034026 · Cited by 18 · see citing works
Moving and merging of Dirac points on a square lattice and hidden symmetry protection
Hou, J.-M. (2014) · Physical Review B · doi:10.1103/physrevb.89.235405 · Cited by 18 · see citing works
Quantum Tunneling in the $$\alpha -T_3$$ Model with an Effective Mass Term
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Interaction-induced merging of Dirac points in non-Abelian optical lattices
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Electronic states of pseudospin-1 fermions in α − T 3 lattice ribbons in a magnetic field
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Anomalous chiral edge states in spin-1 Dirac quantum dots
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Application of the WKB Theory to Investigate Electron Tunneling in Kek-Y Graphene
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Perfect transmission of 3D massive Kane fermions in HgCdTe Veselago lenses
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Honeycomb optical lattices with harmonic confinement
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Predicting large-Chern-number phases in a shaken optical dice lattice
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- 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 › Atomic and Molecular Physics, and Optics › 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
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