Finite lattice size effect in the ground state phase diagram of quasi-two-dimensional magnetic dipolar dots array with perpendicular anisotropy

TL;DR

This study explores how finite lattice size influences the ground state phase diagram of a quasi-two-dimensional magnetic dipolar dots array with perpendicular anisotropy, revealing the loss of continuous degeneracy and the transition to the infinite lattice limit.

Contribution

It provides a detailed analysis of finite-size effects on the ground state phases using classical spin dynamics, highlighting the evolution of symmetry and degeneracy as lattice size increases.

Findings

Finite lattice size causes the disappearance of continuous degeneracy in the in-plane phase.

Ground state symmetry evolves systematically with increasing lattice size.

Insights into the transition from finite to infinite lattice behavior.

Abstract

A prototype Hamiltonian for the generic patterned magnetic structures, of dipolar interaction with perpendicular anisotropy, is investigated within the finite-size framework by Landau-Lifshift-Gilbert classical spin dynamics. Modifications on the ground state phase diagram are discussed with an emphasis on the disappearance of continuous degeneracy in the ground state of in-plane phase due to the finite lattice size effect. The symmetry-governed ground state evolution upon the lattice size increase provides a critical insight into the systematic transition to the infinite extreme.