Deconfinement and quantum liquid crystalline states of dipolar fermions in optical lattices

Abstract

We describe a simple model of fermions in quasi-one dimension that features interaction induced deconfinement (a phase transition where the effective dimensionality of the system increases as interactions are turned on) and which can be realised using dipolar fermions in an optical lattice. The model provides a relisation of a "soft quantum matter" phase diagram of strongly-correlated fermions, featuring meta-nematic, smectic and crystalline states, in addition to the normal Fermi liquid. In this paper we review the model and discuss in detail the mechanism behind each of these transitions on the basis of bosonization and detailed analysis of the RPA susceptibility.

Invited paper for CMT32, to appear in the Int. J. Mod. Phys.B, 13 pages

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• A Mott insulator of fermionic atoms in an optical lattice
• Formation of Electronic Nematic Phase in Interacting Systems
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• Superconductivity and Charge Density Wave in a Quasi-One-Dimensional Spin Gap System
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling
• Confined coherence in quasi-one-dimensional metals

Cited by in corpus (4)

• Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Effect of paramagnetic fluctuations on a Fermi surface topological transition in two dimensions