Language: English
Pages: 201
CONTENTS......Page 10
1. INTRODUCTION TO CRITICAL PHENOMENA......Page 16
2. GINZBURG–LANDAU THEORY......Page 21
3.1 The basic idea......Page 25
3.2 Inequality relationships between critical exponents......Page 27
4.1 Universality......Page 29
4.2 Standard models......Page 30
4.3 Solvable models......Page 31
5.1 The scaling approach......Page 33
5.2 Solution of scaling equations; scaling laws......Page 35
5.3 Correlation function approach......Page 38
5.4 General features of scaling theory......Page 41
6.1 The Gaussian model......Page 44
6.2 Beyond the Gaussian model......Page 49
7.1 Dynamic scaling......Page 55
7.2 Heisenberg ferromagnet......Page 57
7.3 Heisenberg antiferromagnet......Page 58
8.1 Crossover exponents......Page 61
8.2 Tricritical points......Page 64
8.3 Ginzburg–Landau theory of tricritical points......Page 65
8.4 Bicritical points......Page 67
8.5 Lifshitz points......Page 68
9.1 Dilution......Page 71
9.2 Percolation......Page 72
9.3 Random fields......Page 73
10.1 Introduction......Page 76
10.2 The cross section......Page 78
10.3 Nuclear scattering......Page 80
10.4 Separation of the nuclear scattering into coherent and incoherent parts......Page 81
10.5 Magnetic scattering......Page 82
10.6 Spin-only scattering from unpolarized neutrons......Page 83
11.1 Nuclear scattering......Page 87
11.2 Magnetic scattering......Page 89
11.3 Measurement of static correlation functions; the static approximation......Page 90
11.4 Elastic scattering......Page 92
12.1 The scattering geometry......Page 94
12.2 The scattering intensity......Page 96
12.3 Monochromators and analyzers......Page 97
12.4 Effects of beam collimation and of mosaic spread......Page 98
13.2 The neutron spin-echo technique......Page 103
14.1 Introduction......Page 107
14.2 Two-dimensional Ising systems......Page 108
14.3 Two-dimensional X–Y systems......Page 113
14.4 Almost two-dimensional Heisenberg systems......Page 118
14.5 One-dimensional systems......Page 121
15.1 Magnetic systems......Page 124
15.2 Ising antiferromagnets......Page 125
15.3 The Ising dipolar ferromagnet......Page 129
15.4 Ordering in alloys......Page 130
16.1 Heisenberg ferromagnet......Page 134
16.2 Heisenberg antiferromagnet......Page 141
16.3 Transitions with SO(3) universality class......Page 145
17.1 Tricritical points......Page 148
17.2 Bicritical points......Page 149
17.3 Lifshitz points......Page 150
18.1 Introduction......Page 153
18.2 Iron, cobalt, and nickel......Page 154
18.3 Itinerant transition metals: chromium and MnSi......Page 162
18.4 Ferromagnetic transition-metal compounds: MnP and Pd[sub(2)]MnSn......Page 167
18.6 Uranium and cerium compounds......Page 169
19.1 Dilution......Page 177
19.2 Percolation......Page 179
19.3 Random fields......Page 180
APPENDIX. Thermal Neutron Scattering Lengths and Cross Section for the Stable Elements and for a Few Selected Isotopes......Page 183
REFERENCES......Page 186
G......Page 194
M......Page 195
W......Page 196
Z......Page 197
D......Page 198
L......Page 199
S......Page 200
Z......Page 201
