An analysis of the $t_2-V$ model
Abstract
We study a model (i.e., the model involving {\em next-nearest-neighbor hopping} and nearest-neighbor repulsion) in one-dimension that generically depicts the dominant transport mechanism in cooperative strong electron-phonon interaction systems. Using analytic and numerical approaches, hard-core-bosons are shown to typically undergo a striking discontinuous transition from a superfluid to a supersolid. Topological inequivalence of rings with even and odd number of sites is manifested through observable differences (in structure factor peaks) at the transition. Connections are also identified between the model and other topologically interesting models.
Keywords
Cite
@article{arxiv.1304.3007,
title = {An analysis of the $t_2-V$ model},
author = {A. Ghosh and S. Yarlagadda},
journal= {arXiv preprint arXiv:1304.3007},
year = {2015}
}
Comments
This work is dedicated to the memory of Gabriele F. Giuliani. Accepted in Phys. Rev. B. More detailed presentation; results presented for the t_2-V model are related to those obtained for other models and previous findings