The quantum theory of magnetism / Norberto Majlis.

Format:

Book

Author/Creator:

Majlis, Norberto.

Language:

English

Subjects (All):

Magnetism.

Quantum theory.

Physical Description:

1 online resource (436 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, c2000.

Language Note:

English

Summary:

This book is intended as a basic text for a two-term graduate course for physicists, engineers and chemists with a background in quantum and statistical mechanics. What sets it apart from other publications on the subject is its extensive use of Greenâ€TMs function techniques and its detailed discussion of the application of the mean-field approximation and dipoleâ€"dipole interactions in one, two and three dimensions. A chapter each has been devoted to low-dimensional systems, surface magnetism and layered systems. A total of 60 exercises have also been included.

Contents:

Preface; Contents; Chapter 1 Paramagnetism; 1.1 Introduction; 1.2 Quantum mechanics of atoms; 1.2.1 L-S (Russel-Saunders) coupling; 1.2.2 Hund's rules; 1.2.3 Spin-orbit splitting; 1.3 The quantum theory of paramagnetism; 1.4 Crystal-field corrections; 1.4.1 Effects of crystal-field symmetry; 1.4.2 Stevens operator equivalents; 1.5 Quenching of L; 1.6 Time reversal and spin; 1.6.1 Kramers degeneracy; 1.7 Effective Spin Hamiltonian; 1.7.1 Effective gyromagnetic ratio; 1.7.2 Single-ion anisotropy energy; Chapter 2 Interacting Spins; 2.1 Weiss model of ferromagnetism

2.1.1 Critical behaviour of Weiss model2.2 Microscopic basis of magnetism; 2.2.1 The direct exchange interaction; 2.2.2 The superexchange mechanism; 2.2.3 The RKKY interaction; Chapter 3 Mean Field Approximation; 3.1 Helmholtz Free Energy; 3.2 Mean Field Susceptibility; 3.3 Specific Heat of Ferromagnet; 3.4 The Oguchi method.; 3.5 Modulated Phases; 3.6 MFA for Antiferromagnetism; 3.6.1 Longitudinal susceptibility; 3.6.2 Transverse susceptibility; 3.6.3 Spin-flop and other transitions; 3.7. HELIMAGNETISM; 3.8 Goldstone's theorem; Chapter 4 Spin waves; 4.1 Introduction

4.2 Holstein-Primakoff transformation4.3 Linear spin-wave theory; 4.4 Semiclassical picture; 4.5 Macroscopic magnon theory; 4.6 Thermal properties; 4.6.1 Total spin deviation; 4.6.2 Non-linear corrections; 4.7 The Heisenberg antiferrornagnet; 4.8 Introduction; 4.9 AFM spin-waves; 4.10 Sublattice magnetization; 4.11 Ground state energy of AFM; Chapter 5 Green's functions methods; 5.1 Definitions; 5.2 Spectral representation; 5.3 RPA for spin 1/2 ferromagnet; 5.4 Comparison of RPA and MFA; 5.5 RPA for arbitrary spin; 5.6 RPA for ferromagnets; 5.6.1 Paramagnetic phase; 5.6.2 Linear FM chain

5.6.3 Square FM lattice5.7 FM with a finite applied field; 5.8 RPA for antiferrornagnet; 5.8.1 Spin 1/2 AFM; 5.8.2 Arbitrary spin AFM; 5.8.3 Zero-point spin deviation; 5.8.4 Correlation length; 5.9 RPA susceptibility of AFM; 5.10 Spin-flop transition; 5.11 XII at low T.; 5.12 Transverse susceptibility; 5.13 Single-site anisotropy; 5.14 Dynamic linear response; 5.15 Energy absorbed from external field; 5.16 Susceptibility of FM; 5.17 Corrections to RPA; Chapter 6 Dipole-Dipole interactions; 6.1 Dipolar Hamiltonian; 6.2 Dipole-exchange spin-waves; 6.3 Uniform precession (k = 0) mode

6.4 Eingenmodes for k 06.4.1 Demagnetization factors; 6.5 Ellipticity of spin precession; 6.6 Effect of magnons on total spin; 6.7 Magnetostatic modes; Chapter 7 Itinerant Magnetism; 7.1 Introduction; 7.2 Hubbard Hamiltonian; 7.3 Instability of paramagnetic phase; 7.4 Magnons in the Stoner model; 7.4.1 The RPA susceptibility; 7.4.2 Singularities of the susceptibility; 7.5 Tc in Stoner model; 7.6 Metals with degenerate bands; 7.7 Spin-density waves; 7.8 Hartree Fock description of SDW; 7.9 Effects of correlations; 7.9.1 Kinetic exchange interaction; Chapter 8 Indirect Exchange

8.1 Introduction

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

Includes bibliographical references and index.

ISBN:

9789812385437

9812385436

OCLC:

861537581