Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system

TL;DR

This paper explores the complex phase diagram of a one-dimensional p-band cold fermionic system, revealing competing superconducting phases and Mott transitions influenced by interaction types and filling factors.

Contribution

It provides a detailed analysis of the zero-temperature phases of p-band fermions in 1D, highlighting the emergence of various superconducting and Mott phases through analytical and numerical methods.

Findings

Multiple superconducting phases identified for different interactions.

Mott transition with bond-ordering waves at quarter filling.

Presence of fully gapped phases away from half-filling.

Abstract

The zero-temperature phase diagram of $p$-orbital two-component fermionic system loaded into a one-dimensional optical lattice is mapped out by means of analytical and numerical techniques. It is shown that the $p$-band model away from half-filling hosts various competing superconducting phases for attractive and repulsive interactions. At quarter filling, we analyze the possible formation of incompressible Mott phases and in particular for repulsive interactions, we find the occurrence of a Mott transition with the formation of fully gapped bond-ordering waves.