Density Induced Quantum Phase Transitions in Triplet Superconductors

TL;DR

This paper investigates how changing particle density can induce quantum phase transitions in triplet superconductors, revealing non-analytic behavior in key physical properties at critical densities.

Contribution

It demonstrates that particle density acts as a tuning parameter for quantum phase transitions in triplet superconductors, with detailed analysis for quasi-one-dimensional systems.

Findings

Electronic compressibility becomes non-analytic at critical density

Superfluid density tensor exhibits non-analytic behavior at transition point

Results are applicable to various triplet order parameter symmetries

Abstract

We consider the possibility of quantum phase transitions in the ground state of triplet superconductors where particle density is the tunning parameter. For definiteness, we focus on the case of one band quasi-one-dimensional triplet superconductors but many of our conclusions regarding the nature of the transition are quite general. Within the functional integral formulation, we calculate the electronic compressibility and superfluid density tensor as a function of the particle density for various triplet order parameter symmetries and find that these quantities are non-analytic when a critical value of the particle density is reached.