Ultracold gases of ytterbium: ferromagnetism and Mott states in an SU(6) Fermi system
By M. Cazalilla, A. Ho, Masahito Ueda. 2009
217 citations recorded by the source corpus.
It is argued that an ultracold quantum degenerate gas of ytterbium 173Yb atoms having nuclear spin I=5/2 exhibits an enlarged SU(6) symmetry. Within the Landau Fermi liquid theory, stability criteria against Fermi liquid (Pomeranchuk) instabilities in the spin channel are considered. Focusing on the SU(n>2) generalizations of ferromagnetism, it is shown within mean-field theory that the transition from the paramagnet to the itinerant ferromagnet is generically first order. On symmetry grounds, general SU(n) itinerant ferromagnetic ground states and their topological excitations are also discussed. These SU(n>2) ferromagnets can become stable by increasing the scattering length using optical methods or in an optical lattice. However, in an optical lattice at current experimental temperatures, Mott states with different filling are expected to coexist in the same trap, as obtained from a calculation based on the SU(6) Hubbard model.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/382fc0c35d6c8a0b08be249686e127aed1ca58c1
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “On the other hand, fermionic alkaline-earth atoms display an exact SU(N) spin symmetry with N = 2I + 1 where I is the nuclear spin (Cazalilla et al., 2009; Gorshkov et al., 2010; Xu, 2010).”
- One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm (2011, methodology): “…2007; Kraft et al., 2009; Stellmer et al., 2009; Taie et al., 2010; Takasu et al., 2003) which naturally posses a higher symmetry of interactions (Cazalilla et al., 2009; Gorshkov et al., 2010) calls for extensions of the present approach to SU(N) invariant Sutherland-type models (Sutherland,…”
- An SU(6) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling (2012, background): “Fermionic isotopes of alkaline-earth-metal like atoms, such as ytterbium ((173)Yb) [12] and strontium((87)Sr) [13, 14], are suitable for this aim because of their simple SU(N = 2I + 1) symmetric interactions for nuclear spin I [5, 9, 10].”
- A one-dimensional liquid of fermions with tunable spin (2014, background): “In parallel, ultracold two-electron atoms have been recently proposed for the realization of large-spin systems with SU(N) interaction symmetry [19, 20], and first experimental investigations have been reported [21].”