[Submitted on 21 Jul 2014] (cross-list from cond-mat.quant-gas)
Pairing in Asymmetric Many-Fermion Systems: Functional Renormalisation Group Approach
Functional renormalisation group approach is applied to a imbalanced many- fermion system with a short-range attractive force. Composite boson field is introduced to describe the pairing between different flavour fermions. A set of approximate flow equations for the effective couplings is derived and solved. We identify the critical values of mass and particle number density mismatch when the system undergoes a phase transition to a normal state and determine the phase diagram both at unitary regime and nearby.