In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
Nonrelativistic Conformal Field Theories in the Large Charge Sector
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abstract
We study Schr\"odinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated $U(1)$ symmetry in a harmonic potential. This EFT can be studied semi-classically in a large charge expansion. We calculate the dimensions of the lowest lying operators, as well as correlation functions of charged operators. We find universal behavior of three point function in large charge sector. We comment on potential applications to fermions at unitarity and critical anyon systems.
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cond-mat.quant-gas 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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The odd fermion at the edge: odd-even staggering in the trapped, unitary Fermi gas
In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.