2015/01/22 by Dietrich Roscher, Jens Braun, Joaquín E. Drut
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermi gas #Fermion #Mathematics #Mean field theory #Monte Carlo method #Parameter space #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Statistical physics #Statistics #Thermodynamics #Unitary state #cond-mat.quant-gas #hep-ph #nucl-th
paper · pdf · doi:10.1103/physreva.91.053611
17 pages, 7 figures
arxiv created 2015/01/22 · openalex publication_date 2015/05/13 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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_\ensuremath\downarrow/m_\ensuremath\uparrow\ensuremath\gtrsim3. The extent of the inhomogeneous phase in parameter space increases with increasing mass imbalance.