P-wave pairing and ferromagnetism in the metal-insulator transition in two dimensions

Abstract

Based on recent experimental evidence for a spin polarized ground state in the insulating phase of the two-dimensional electron system, we propose that ferromagnetic spin fluctuations lead to an attractive interaction in the triplet channel and cause p-wave pairing in the conducting phase. We use the Landau Fermi liquid phenomenology to explain how the enhanced spin susceptibility near the critical density yields an attractive potential, in a similar mechanism to superfluidity in ${}^3$He. As the density is decreased, the p-wave order parameter undergoes a transition from a unitary to a nonunitary state, in which it coexists with ferromagnetism for a range of densities. As the density is further reduced, the pairing amplitude vanishes and the system is described by a ferromagnetic insulator. Thus, we find two quantum critical points as a function of density associated with the polarization of the paired state and ferromagnetism. We explain the magnetotransport measurements in parallel and perpendicular magnetic fields and propose a shot noise experiment to measure the pair charge.

12 pages, 2 figures

References in corpus (2)

• Spin Polarized Ground State for Interacting Electrons in Two Dimensions
• Electron Quasiparticles Drive the Superconductor-to-Insulator Transition in Homogeneously Disordered Thin Films

Cited by in corpus (6)

• Metal-insulator transition in two-dimensional electron systems
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system
• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• On the Ordering Instability of Weakly-Interacting Electrons in a Dirty Metal
• Superconducting Order Parameters in Spin Space Groups: Methodology and Application
• Imbalanced ultracold Fermi gas in the weakly repulsive regime: Renormalization group approach for p-wave superfluidity