Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-12-20
Phys.Rev.A81:063619,2010
Physics
Condensed Matter
Quantum Gases
8 pages, 7 figures, minor change in figures 2 and 3 (correction of axis label)
Scientific paper
10.1103/PhysRevA.81.063619
We investigate the phase diagram of two-component fermions in the BCS-BEC crossover. Using functional renormalization group equations we calculate the effect of quantum fluctuations on the fermionic self-energy parametrized by a wavefunction renormalization, an effective Fermi radius and the gap. This allows us to follow the modifications of the Fermi surface and the dispersion relation for fermionic excitations throughout the whole crossover region. We also determine the critical temperature of the second order phase transition to superfluidity. Our results are in agreement with BCS theory including Gorkov's correction for small negative scattering length a and with an interacting Bose gas for small positive a. At the unitarity point the result for the gap at zero temperature agrees well with Quantum-Monte-Carlo simulations while the critical temperature differs.
Floerchinger Stefan
Scherer Michael M.
Wetterich Christof
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