Symmetry Obstruction to Fermi Liquid Behavior in the Unitary Limit
arXiv:1712.07797 · doi:10.1103/PhysRevB.99.035101
Abstract
We show that a Fermi gas, in three dimensions, at temperatures above the superconducting phase transition but below the Fermi temperature, can not be described by Fermi Liquid Theory (FLT) in the unitary limit where the scattering length diverges. The result follows by showing that the there are no effective field theory descriptions that both behave like a Fermi liquid and properly non-linearly realize the spontaneously broken boost and conformal invariance of the system.
Updated references. Fixed equation for dilatation constraint
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- Spontaneously broken boosts and the Goldstone continuum
- Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
- Superfluids, vortices and spinning charged operators in 4d CFT
- Gapped Goldstones at the cut-off scale: a non-relativistic EFT
- Effective Field Theory for Acoustic and Pseudo-Acoustic Phonons in Solids
- First Principles Prediction of the Landau Parameter for Fermi Liquids near the Unitarity Limit
- The coset construction for particles of arbitrary spin
- Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter