Stripe order from the perspective of the Hubbard model

TL;DR

This study uses advanced numerical methods to explore stripe order in the Hubbard model, revealing how next-nearest-neighbor hopping influences magnetic and charge order, aligning with experimental observations in cuprates.

Contribution

It demonstrates the impact of next-nearest-neighbor hopping on stripe formation in the Hubbard model, providing a unified theoretical perspective on cuprate phase behavior.

Findings

Next-nearest-neighbor hopping suppresses spin incommensurability in electron-doped cuprates.

Nearly half-filled stripes are observed in hole-doped cuprates.

Results align with experimental data across cuprate families.

Abstract

A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we investigate emergence of stripes in the Hubbard model, a minimal model believed to be relevant to the cuprate superconductors, using determinant quantum Monte Carlo (DQMC) simulations at finite temperatures and density matrix renormalization group (DMRG) ground state calculations. By varying temperature, doping, and model parameters, we characterize the extent of stripes throughout the phase diagram of the Hubbard model. Our results show that including the often neglected next-nearest-neighbor hopping leads to the absence of spin incommensurability upon electron-doping and nearly half-filled stripes upon hole-doping. The similarities of these findings to experimental results on both electron and hole-doped cuprate families support a unified description across a large portion of the cuprate phase diagram.