Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice

Abstract

We consider a two dimensional model of non-interacting chains of spinless fermions weakly coupled via a small inter-chain hopping and a repulsive inter-chain interaction. The phase diagram of this model has a surprising feature: an abrupt change in the Fermi surface as the interaction is increased. We study in detail this so called meta-nematic transition, and show that the well-known $21/2-$order Lifshitz transition is the criticalndpoint of this first order quantum phase transition. Furthermore, in the vicinity of the endpoint, the order parameter has a non-perturbative BCS form. We also study a competing crystallization transition in this model, and derive the full phase diagram. This physics can be demonstrated experimentally in dipolar ultra-cold atomic or molecular gases. In the presence of a harmonic trap, it manifests itself as a sharp jump in the density profile.

13.5 pages, 9 figures, minor modifications clarifying some points, some references added

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Cited by in corpus (16)

• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Density wave patterns for fermionic dipolar molecules on a square optical lattice: Mean-field-theory analysis
• Scaling of entanglement entropy across Lifshitz transitions
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
• Superfluid, solid, and supersolid phases of dipolar bosons in a quasi-one-dimensional optical lattice
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• Electronic nematic phase transition in the presence of anisotropy
• Effect of paramagnetic fluctuations on a Fermi surface topological transition in two dimensions
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Thermodynamics of Dipolar Chain Systems
• Lifshitz transition in two-dimensional spin-density wave models
• Classical crystal formation of dipoles in two dimensions
• Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature