Ultralong-range order in the Fermi-Hubbard model with long-range interactions

Ultralong-range order in the Fermi-Hubbard model with long-range interactions

Long-Range Order in the Hubbard Model

This paper begins by analyzing the Fermi-Hubbard Hamiltonian, a hopping model for Fermions on a lattice, and the pathology of the model’s extreme cases is discussed. Finally, the usefulness of experiments with ultracold atoms for studying order in these systems is presented. William R. McGehee Long-Range Order in the Hubbard Model 2

Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions

Alejandro Mendoza-Coto, Daniel A. Stariolo, and Lucas Nicolao Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Federal do Rio Grande do Sul and National Institute of Science and Technology for Complex Systems, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Feder...

Comment on "Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions".

We study two dimensional stripe forming systems with competing repulsive interactions decaying as r(-α). We derive an effective Hamiltonian with a short-range part and a generalized dipolar interaction which depends on the exponent α. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for α<2 long-range orientational order of stripes can e...

Long-range interactions in Sznajd consensus model

Ising models have been studied since nearly one century, and simulated on computers since more than four decades. A new version is the Sznajd model [1] where again each lattice site carries a spin ±1. If two randomly selected neighbouring spins have the same value, they force their neighbours to accept this value; otherwise nothing is changed and a new pair is selected. In the Ochrombel simplif...