Abstract
Functional renormalisation group approach is applied to a imbalanced many-fermion system with a short-range attractive force. We introduce a composite boson field to describe pairing effects, and assume a simple ansatz for the effective action. A set of approximate flow equations for the effective coupling including boson and fermionic fluctuations is derived and solved. We identify the critical values of particle number density mismatch when the system undergoes a normal state. We determine the phase diagram both at unitarity and around. The obtained phase diagram is in a reasonable agreement with the experimental data.
Highlights
The mechanism of pairing in imbalanced many-fermion systems is nowdays a subject of the intensive theoretical and experimental studies
Functional renormalisation group approach is applied to a imbalanced manyfermion system with a short-range attractive force
We introduce a composite boson field to describe pairing effects, and assume a simple ansatz for the effective action
Summary
The mechanism of pairing in imbalanced many-fermion systems is nowdays a subject of the intensive theoretical and experimental studies (see ref. [1] for review). The aim of the present paper is to set up a framework to study pairing phenomena in imbalanced many-fermion systems using the formalism of Functional Renormalisation Group [3] (FRG) where the effects of quantum fluctuations are included in a consistent and reliable way.
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