Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice

Abstract

It has been suggested that some strongly correlated matter might be understood qualitatively in terms of liquid crystalline phases intervening between the Fermi gas and the Wigner crystal or Mott insulator. We propose a tunable realisation of this soft quantum matter physics in an ultra-cold gas. It uses optical lattices and dipolar interactions to realise a particularly simple model. Our analysis reveals a rich phase diagram featuring a meta-nematic transition where the Fermi liquid changes dimensionality; a smectic phase (stripes); and a crystalline, `checkerboard' phase.

arXiv commentimproved figure, added references, text shortened, typos corrected; to appear in Physical Review A (Rapid Communications)

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Cited by in corpus (36)

• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Nematic Fermi Fluids in Condensed Matter Physics
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum degenerate dipolar Fermi gas
• Trapping ultracold dysprosium: a highly magnetic gas for dipolar physics
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Dysprosium magneto-optical traps
• Density wave instability in a 2D dipolar Fermi gas
• Biaxial nematic phases in ultracold dipolar Fermi gases
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Dislocation-mediated melting of one-dimensional Rydberg crystals
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• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
• Detecting quadrupole interactions in ultracold Fermi gases
• Supersolidity of a dipolar Fermi gas in a cubic optical lattice
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• Effect of paramagnetic fluctuations on a Fermi surface topological transition in two dimensions
• Classical crystal formation of dipoles in two dimensions
• Triplet Superfluidity on a triangular ladder with dipolar fermions