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Cited by 242

The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.

Topological phases for fermionic cold atoms on the Lieb lattice

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Goldman, N., Urban, D. F., Bercioux, D.·2011·Physical Review A
DOI 10.1103/physreva.83.063601
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Abstract

We investigate the properties of the Lieb lattice, that is, a face-centered square lattice, subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar quantum Hall effect, which is a consequence of the single Dirac cone and the flat band characterizing the energy spectrum. Then we explore the effects of an intrinsic spin-orbit term---a non-Abelian gauge field---and demonstrate the occurrence of the quantum spin Hall effect in this model. Besides, we obtain the relativistic Hamiltonian describing the Lieb lattice at low energy and derive the Landau levels in the presence of external Abelian and non-Abelian gauge fields. Finally, we describe concrete schemes for realizing these gauge fields with cold fermionic atoms trapped in an optical Lieb lattice. In particular, we provide a very efficient method to reproduce the intrinsic (Kane-Mele) spin-orbit term with assisted-tunneling schemes. Consequently, our model could be implemented in order to produce a variety of topological states with cold atoms.

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Citations

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Show all 13 references

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Cited by

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Metadata

Authors
Goldman, N., Urban, D. F., & Bercioux, D.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2011-06-02
Volume
83
Issue
6
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.83.063601
OpenAlex
W2072353673
Cited by
242
References
13
FWCI
5.39
Type
journal article
Language
en
Open access
green
Licence
link.aps.org/licenses/aps-default-license (vor)

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CoChat. (2026). Citation check: Topological phases for fermionic cold atoms on the Lieb lattice. https://app.cochat.ai/papers/10.1103/physreva.83.063601
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Goldman, N., Urban, D. F., & Bercioux, D. (2011). Topological phases for fermionic cold atoms on the Lieb lattice. Physical Review A. https://doi.org/10.1103/physreva.83.063601

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.