The Ground State of a Two-dimensional Lattice System with a Long-range Interparticle Repulsion. Effective Lowering of Dimension

TL;DR

This paper demonstrates that effective dimensional reduction influences the ground-state properties of 2D lattice systems with long-range repulsion and introduces a rigorous method to describe their ground states.

Contribution

It presents a new rigorous procedure to analyze the ground state structure of 2D lattice systems with long-range interparticle repulsion, highlighting effective lowering of dimension.

Findings

Effective lowering of dimension affects ground-state properties.

A rigorous method for describing ground states has been developed.

The approach provides insights into the structure of 2D lattice systems.

Abstract

It has been shown that effective lowering of dimension underlies ground-state space structure and properties of two-dimensional lattice systems with a long-range interparticle repulsion. On the basis of this fact a rigorous general procedure has been developed to describe the ground state of the systems.