A Blume-Capel Ising Ferromagnet with Annealed Vacancies on a Hierarchical Lattice

TL;DR

This paper investigates a dilute Ising ferromagnet with annealed vacancies on a hierarchical lattice, analyzing phase diagrams and critical behavior using renormalization group methods.

Contribution

It introduces a detailed analysis of phase transitions and critical exponents in a dilute ferromagnet with annealed vacancies on a hierarchical lattice.

Findings

Phase diagrams vary with temperature and impurity concentration.

Critical exponents are calculated for higher order transitions.

The effects of internal coupling strength on phase behavior are characterized.

Abstract

A dilute Ising ferromagnet is considered in this study using renormalization group techniques with a hierarchical lattice. A series of phase diagrams have been produced that probe the effects of varying the temperature and concentration of nonmagnetic impurities. Each phase diagram corresponds to a different strength for the internal coupling coefficients on our lattice. Phases have been interpreted and critical exponents calculated for the higher order transitions.