Vertical and Diagonal Stripes in the Extended Hubbard Model

TL;DR

This paper investigates the stability of stripe phases in the extended Hubbard model using real-space Hartree-Fock calculations, exploring how anisotropic hopping, next-neighbor interactions, and doping levels influence phase stability.

Contribution

It extends previous studies by mapping the phase diagram of stripe stability with anisotropic hopping and additional interactions in the Hubbard model.

Findings

Stripe stability depends on anisotropic hopping t.

Next-neighbor hopping t' affects stripe phases.

Nearest-neighbor Coulomb interaction V influences phase stability.

Abstract

We extend previous real-space Hartree-Fock studies of static stripe stability to determine the phase diagram of the Hubbard model with anisotropic nearest-neighbor hopping t, by varying the on-site Coulomb repulsion U and investigating locally stable structures for representative hole doping levels x=1/8 and x=1/6. We also report the changes in stability of these stripes in the extended Hubbard model due to next-neighbor hopping t' and to a nearest-neighbor Coulomb interaction V.