An analysis of the $t_2-V$ model

Abstract

We study a model (i.e., the $t_2-V$ 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 $t_2-V$ model and other topologically interesting models.

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

References in corpus (4)

• Orbital ordering phenomena in $d$- and $f$-electron systems
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Phases and phase transitions of frustrated hard-core bosons on a triangular ladder
• Supersolid in a one-dimensional model of hard-core bosons

Cited by in corpus (6)

• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Hidden string order in a hole-superconductor with extended correlated hopping
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices
• Fractional-quantum-Hall-effect (FQHE) in 1D Hubbard models
• Mixed-order transition and tricritical point associated with checkerboard supersolidity in the two-dimensional $t_2-V_1$ model