Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 84: Correlated Electrons: (General) Theory
TT 84.12: Talk
Thursday, April 3, 2014, 12:30–12:45, HSZ 304
Low-energy singularities in the ground state of fermionic superfluids — •Benjamin Obert1, Christoph Husemann2, and Walter Metzner1 — 1Max-Planck-Institute for Solid State Research, Heisenbergstr. 1, D-70569 Stuttgart, Germany — 2Carl Zeiss AG, Carl Zeiss Promenade 10, D-07745 Jena, Germany.
We analyze the effects of order parameter fluctuations on the ground state of fully gapped charge-neutral fermionic superfluids. The Goldstone mode associated with the spontaneously broken symmetry leads to a problem of coupled singularities in d≤3 dimensions. We derive a minimal set of one-loop renormalization group equations which fully captures the interplay of the singularities. The flow equations are based on a symmetry conserving truncation of a scale dependent effective action. We compute the low energy behavior of longitudinal, transverse and mixed order parameter correlations, and their impact on the fermionic gap. We demonstrate analytically that cancellations protecting the Goldstone mode are respected by the flow, and we present a numerical solution of the flow equations for the two-dimensional attractive Hubbard model.