Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas
Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas
We determine some exact static and time-dependent properties of the fermionic Tonks-Girardeau (FTG) gas, a spin-aligned one-dimensional Fermi gas with infinitely strongly attractive zero-range odd-wave interactions. We show that its two-particle reduced density matrix exhibits superconductive off-diagonal long-range order, and on a ring an FTG gas with an even number …