A fermionic superfluid state for many spinful species - II

TL;DR

This paper extends a fermionic variational wavefunction framework to include spin triplet states and single-species scenarios, advancing the understanding of superfluidity in multi-species and spinful fermionic systems.

Contribution

It introduces a spin triplet version of the fermionic wavefunction and a single-species wavefunction, broadening the applicability of the variational approach for superfluid states.

Findings

Developed a spin triplet fermionic wavefunction with parallel spins.

Presented a single fermion species wavefunction relevant for BCS to BEC transition.

Extended the variational wavefunction framework for multi-species superfluidity.

Abstract

In a previous report (arxiv:0901.2487), we introduced a new fermionic variational wavefunction, suitable for interacting multi-species systems and sustaining superfluidity. This wavefunction contains a new quantum index. Here we introduce a spin triplet version of this wavefunction, with parallel spin pairs only. We also present a single fermion species wavefunction, which may be relevant for the problem of the BCS to BEC transition.