Spatial distribution of Gaussian fluctuations of the molecular field and magnetization in the pyramid-like Ising nanoscopic system interacting with the substrate

TL;DR

This paper investigates the thermodynamic behavior and spatial fluctuation distribution of a nanoscopic ferromagnetic pyramid on a substrate, using Gaussian fluctuation approximation to understand magnetic properties relevant for experimental measurements.

Contribution

It introduces a method to analyze the spatial distribution of fluctuations in a nanoscopic pyramid interacting with a substrate, advancing understanding of nanoscale magnetic systems.

Findings

Distribution of fluctuations calculated in Gaussian approximation

Interaction with substrate influences thermodynamic properties

Implications for magnetic force measurement techniques

Abstract

We study thermodynamic properties of an Ising model of a ferromagnetic nanoscopic pyramid deposited onto a ferromagnetic bulk substrate. The influence of the interaction between the pyramid and the substrate is calculated in terms of the equilibrium reduced-state (density) operator used for description of thermodynamic properties of nanoscopic systems. The spatial distribution of the fluctuations of molecular field and magnetization in the nanoscopic pyramid is obtained in the Gaussian fluctuations approximation. Experimental consequences for the magnetic force measurements are briefly discussed.