Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System

Abstract

It is argued that ultracold quantum degenerate gas of ytterbium ${}^{173}$Yb 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.

arXiv comment4+ pages, 1 figure; v2: Improved discussion of the SU(6) symmetry-breaking patterns; v3: added further discussion on the order of the transition. Added References

References in corpus (21)

• Hidden Order in the Cuprates
• Quantum Theory of a Nematic Fermi Fluid
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Fermi liquid instabilities in the spin channel
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Competing orders in one dimensional spin 3/2 fermionic systems
• Itinerant Ferromagnetism in an Ultracold Atom Fermi Gas
• All-Optical Formation of Quantum Degenerate Mixtures
• Bose-Einstein Condensation of an Ytterbium Isotope
• Squeezing Out the Entropy of Fermions in Optical Lattices
• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
• Orbital ordering and enhanced magnetic frustration of strained BiMnO3 thin films
• Staggered orbital currents in the half-filled two-leg ladder
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Noncommutative Geometry, Extended W(infty) Algebra and Grassmannian Solitons in Multicomponent Quantum Hall Systems
• Renormalization group study of interacting electrons
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions

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