Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
By Nathan Goldman, D. F. Urban, D. Bercioux. 2011
152 citations recorded by the source corpus.
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. © 2011 American Physical Society.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/d19a7a894ceb53bd58403c430917567eca4d29f7
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Artificial flat band systems: from lattice models to experiments (2018, background): “in 2011 [125], based on laser assisted tunnelling between different hyperfine states.”
- Topological states in engineered atomic lattices (2016, background): “Depending on the nature of the interaction in the lattice, topological states may also emerge [26, 27].”