Phase structure of mass- and spin-imbalanced unitary Fermi gases

Dietrich Roscher, Jens Braun, and Joaquín E. Drut
Phys. Rev. A 91, 053611 – Published 13 May 2015

Abstract

We study the phase diagram of mass- and spin-imbalanced unitary Fermi gases, in search for the emergence of spatially inhomogeneous phases. To account for fluctuation effects beyond the mean-field approximation, we employ renormalization group techniques. We thus obtain estimates for critical values of the temperature, mass and spin imbalance, above which the system is in the normal phase. In the unpolarized, equal-mass limit, our result for the critical temperature is in accordance with state-of-the-art Monte Carlo calculations. In addition, we estimate the location of regions in the phase diagram where inhomogeneous phases are likely to exist. We show that an intriguing relation exists between the general structure of the many-body phase diagram and the binding energies of the underlying two-body bound-state problem, which further supports our findings. Our results suggest that inhomogeneous condensates form for mass imbalances m/m3. The extent of the inhomogeneous phase in parameter space increases with increasing mass imbalance.

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  • Received 6 February 2015

DOI:https://doi.org/10.1103/PhysRevA.91.053611

©2015 American Physical Society

Authors & Affiliations

Dietrich Roscher1, Jens Braun1,2, and Joaquín E. Drut3

  • 1Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI, GSI, Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599, USA

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Issue

Vol. 91, Iss. 5 — May 2015

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