Fundamentals of Magnetism.

Format:

Book

Author/Creator:

Reis, Mário.

Language:

English

Subjects (All):

Magnetism--Textbooks.

Magnetism -- Textbooks.

Physical Description:

1 online resource (283 pages)

Edition:

1st ed.

Place of Publication:

San Diego : Elsevier Science & Technology, 2013.

Contents:

Intro

Half Title

Title Page

Copyright

Dedication

Contents

Preface

List of Figures

List of Tables

Part One Background

1 Introduction

1.1 Quantities and units

1.2 Types of magnetic arrangement

2 Hamiltonian of an Electron Under an Electromagnetic Field

2.1 Classical approach

2.1.1 Particular case: Uniform magnetic field

2.2 Quantum-relativistic approach: Dirac equation

2.2.1 Free electron

2.2.2 Electron in a scalar potential

2.2.3 Electron in a scalar and vector potential

2.2.4 Particular case: Uniform magnetic field

Complements

2.A Maxwell equations and the gauges

3 Angular Momenta

3.1 Angular momentum algebra

3.2 Addition of angular momenta

3.3 Magnetic moment

3.4 Angular momenta of atoms

3.A Hydrogen-like atoms

4 Thermodynamics

4.1 Thermodynamic laws

4.2 Entropy

4.3 Thermodynamic potentials

4.3.1 Internal energy

4.3.2 Helmholtz free energy

4.3.3 Enthalpy

4.3.4 Gibbs free energy (free enthalpy)

4.3.5 Grand potential

4.4 Maxwell relationships

4.5 Thermodynamic square

4.6 Magnetic specific heat

5 Statistical Mechanics

5.1 Micro canonical ensemble

5.2 Canonical ensemble

5.2.1 Entropy

5.2.2 Helmholtz free energy

5.2.3 Mean energy

5.2.4 Mean magnetic moment

5.3 Indistinguishable and distinguishable particles

5.4 Thermodynamic quantities of N distinguishable particles

5.5 Grand canonical ensemble

5.5.1 Entropy

5.5.2 Grand potential

5.5.3 Magnetization

5.5.4 Mean number of particles

5.6 Grand partition function: further developments

6 Fermions Gas

6.1 Wave function, eigenvalues, and density of states

6.2 Grand canonical potential and thermodynamic quantities

6.3 Fermi level and chemical potential

6.4 High temperature limit

Part Two Noncooperative Magnetism.

7 Diamagnetism

7.1 Localized diamagnetism

7.1.1 Classical formulation

7.1.2 Quantum formulation

7.2 Itinerant diamagnetism

7.2.1 Low magnetic field

low and high temperatures

7.2.1.1 Limit of low magnetic field εF &gt

&gt

µBB

7.2.1.2 Limit of low magnetic field (εF &gt

µBB) and low temperature (εF &gt

kBT)

7.2.1.3 Limit of low magnetic field (εF &gt

µBB) and high temperature (εF &lt

&lt

7.2.2 High temperature

low and high magnetic field

7.2.3 High magnetic field and zero temperature: dHvA effect

7.A Experimental example

7.B Landau levels

8 Paramagnetism

8.1 Localized paramagnetism

8.1.1 Thermodynamic quantities

8.1.1.1 Helmholtz free energy

8.1.1.2 Magnetization

8.1.1.3 Magnetic entropy

8.1.1.4 Specific heat

8.1.2 Classical and quantum cases

8.1.2.1 Partition function

8.1.2.2 Magnetization

8.1.2.3 Magnetic entropy

8.1.2.4 Specific heat

8.2 Itinerant paramagnetism

8.3 van Vleck paramagnetism

8.A Perturbation theory

8.A.1 Nondegenerated case

8.A.2 Degenerated case

8.B Rare-earth paramagnetism: an example

8.B.1 Low values of spin-orbit parameter (≈ kBT)

8.B.2 High values of spin-orbit parameter (ζ&gt

Part Three Cooperative Magnetism

9 Magnetic Interactions

9.1 Direct exchange

9.1.1 A simple model

9.1.2 Heisenberg model

9.1.3 Ising and XY models

9.1.4 Bi-quadratic interaction

9.1.5 Hubbard model

9.1.6 Antisymmetric: Dzialoshinsky-Moriya interaction

9.1.7 Asymmetric: Dipolar Hamiltonian

9.1.8 Mean field approach

9.2 Indirect exchange

9.2.1 Superexchange: oxides

9.2.2 RKKY model: metals

9.3 Asymmetric: Spin-orbit coupling

9.4 Zeeman interaction

9.4.1 The g tensor

9.5 The D tensor.

9.5.1 Coupling of D tensors: dipolar and local

10 Long-Range Ordering

10.1 Ferromagnetism

10.1.1 Localized ferromagnetism

10.1.1.1 Magnetization

10.1.1.2 Curie temperature

10.1.1.3 Magnetic susceptibility for T&gt

Tc

10.1.2 Itinerant ferromagnetism

10.1.2.1 Magnetization

10.1.2.2 Critical temperature and the Stoner criterion

10.1.2.3 Zero Kelvin spontaneous magnetization

10.1.2.4 Low temperature magnetic susceptibility

10.2 Antiferromagnetism

10.2.1 Magnetization

10.2.2 Néel temperature

10.2.3 Magnetic susceptibility for T&gt

TN

10.3 Ferrimagnetism

10.3.1 Magnetization

10.3.2 Critical temperature

10.3.3 Magnetic susceptibility for T&gt

10.A Experimental examples

10.B Stoner criterion for some metals

10.C Magnetocaloric Effect

10.C.1 Ideal thermodynamic processes

10.C.2 Materials

10.D Undesired temperature independent susceptibility

11 Landau Theory

11.1 Fundamentals

11.2 Second-order phase transition

11.2.1 Connections with a classical spin system

11.3 First-order phase transition

11.3.1 Connections with a classical spin system

12 Molecular Magnetism

12.1 Zero-dimensional magnets

12.1.1 Isotropic cases

12.1.1.1 Dimers

12.1.1.2 Trimers

12.1.2 Anisotropic cases

12.1.2.1 Local magnetocrystalline anisotropy

12.1.2.2 Dipolar interaction

12.1.3 Computational routine: the CARDAMOMO package

12.1.4 Modeling zero-dimensional molecular magnets

12.1.5 Example and computational routine

12.2 One-dimensional magnets

12.2.1 Uni-metallic regular chain

12.2.2 Duo-metallic regular chain

12.2.3 Uni-metallic irregular chain

12.2.4 Example and computational routine

12.3 Single-molecule magnets

12.A Ising model: analytic solution

12.B Addition of N spins

Part Four Appendices.

Appendix A Useful Mathematical Functions

Appendix B Exercises

Appendix C Solution of Exercises

Bibliography

Index

A

B

C

D

E

F

G

H

I

K

L

M

N

O

P

Q

R

S

T

U

V

X

Z.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Reis, Mário Fundamentals of Magnetism

ISBN:

9780124058590

OCLC:

851161234