The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals

10 Apr 2019  ·  Kravec S. M., Pal Sridip ·

We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices... Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum $L$ and charge $Q$. We find a diverse set of scaling behaviors for NRCFTs in both $d=2$ and $d=3$. read more

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High Energy Physics - Theory Quantum Gases Strongly Correlated Electrons