Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
Abstract
We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant pairing physics in the presence of nearest-neighbour and next-nearest-neighbour interactions. Our analysis is based on analytical calculations in the classical limit, bosonization techniques and large-scale density-matrix renormalization group numerical simulations. The phase diagram, which is investigated in all relevant filling regimes, displays a remarkably rich collection of phases, including Luttinger liquids, phase separation, charge-density waves, bond-order phases, and exotic cluster Luttinger liquids with paired particles. In relation with recent studies, we show several emergent transition lines with a central charge between the Luttinger-liquid and the cluster Luttinger liquid phases. These results could be experimentally investigated using highly-tunable quantum simulators.
Cite
@article{arxiv.2006.07128,
title = {Pairing in spin chains and spinless fermions with next-nearest neighbour interactions},
author = {Lorenzo Gotta and Leonardo Mazza and Pascal Simon and Guillaume Roux},
journal= {arXiv preprint arXiv:2006.07128},
year = {2021}
}
Comments
15 pages, 18 figures