The Oxford solid state basics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2013
|
| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references |
| Beschreibung: | XIII, 290 S. Ill., graph. Darst. |
| ISBN: | 9780199680764 0199680760 0199680779 9780199680771 |
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| 245 | 1 | 0 | |a The Oxford solid state basics |c Steven H. Simon |
| 246 | 1 | 3 | |a Solid state basics |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2013 | |
| 300 | |a XIII, 290 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804150447860088832 |
|---|---|
| adam_text | Contents
About
Condensed Matter
Physics I
1.1
What Is Condensed Matter Physics
1
1.2
Why Do We Study Condensed Matter Physics?
1
1.3
Why Solid State Physics 7
3
1 Physics of Solids without Considering Micro¬
scopic Structure: The Early Days of Solid State
5
2
Specific Heat of Solids: Boltzmann, Einstein, and Debye
7
2.1
Einstein s Calculation
8
2.2
Debye s Calculation
9
2.2.1
Periodic (Born-von
Karman)
Boundary Conditions
10
2.2.2
Debye s Calculation Following Planck
11
2.2.3
Debye s Interpolation
13
2.2.4
Some Shortcomings of the Debye Theory
14
2.3
Appendix to this Chapter:
ζ
(4) 16
Exercises
17
3
Electrons in Metals:
Drude
Theory
19
3.1
Electrons in Fields
20
3.1.1
Electrons in an Electric Field
20
3.1.2
Electrons in Electric and Magnetic Fields
21
3.2
Thermal Transport
22
Exercises
25
4
More Electrons in Metals:
Sommerfeld
(Free Electron)
Theory
27
4.1
Basic Fermi-Dirac Statistics
27
4.2
Electronic Heat Capacity
29
4.3
Magnetic Spin Susceptibility
(Pauli Param
agnet
ism)
32
44
Why
Drude
Theory Works So Well
34
4.5
Shortcomings of the Free Electron Model
35
Exercises
37
II Structure of Materials
39
5
The Periodic Table 41
χ
Contents
5.1
Chemistry, Atoms, and the Schroedinger Equation
41
5.2
Structure of the Periodic Table
42
5.3
Periodic Trends
43
5.3.1
Effective Nuclear Charge
45
Exercises
46
6
What Holds Solids Together: Chemical Bonding
49
6.1
Ionic Bonds
49
6.2
Covalent Bond
52
6.2.1
Particle in a Box Picture
52
6.2.2
Molecular Orbital or Tight Binding Theory
53
6.3
Van
der Waals,
Fluctuating
Dipole
Forces, or Molecular
Bonding
57
6.4
Metallic Bonding
59
6.5
Hydrogen Bonds
59
Exercises
61
7
Types of Matter
65
III Toy Models of Solids in One Dimension
69
8
One-Dimensional Model of Compressibility, Sound, and
Thermal Expansion
71
Exercises
74
9
Vibrations of a One-Dimensional Monatomic Chain
77
9.1
First Exposure to the Reciprocal Lattice
79
9.2
Properties of the Dispersion of the One-Dimensional Chain
80
9.3
Quantum Modes: Phonons
82
9.4
Crystal Momentum
84
Exercises
86
10
Vibrations of a One-Dimensional Diatomic Chain
89
10.1
Diatomic Crystal Structure: Some Useful Definitions
89
10.2
Normal Modes of the Diatomic Solid
90
Exercises
96
11
Tight Binding Chain (Interlude and Preview)
99
11.1
Tight Binding Model in One Dimension
99
11.2
Solution of the Tight Binding Chain
101
11.3
Introduction to Electrons Filling Bands
104
11.4
Multiple Bands
105
Exercises
107
IV Geometry of Solids 111
12
Crystal Structure
ЦЗ
Contents
Xl
12.1
Lattices and Unit Cells
113
12.2
Lattices in Three Dimensions
117
12.2.1
The Body-Centered Cubic (bcc) Lattice
118
12.2.2
The Face-Centered Cubic (fee) Lattice
120
12.2.3
Sphere Packing
121
12.2.4
Other Lattices in Three Dimensions
122
12.2.5
Some Real Crystals
123
Exercises
125
13
Reciprocal Lattice, Brillouin Zone, Waves in Crystals
127
13.1
The Reciprocal Lattice in Three Dimensions
127
13.1.1
Review of One Dimension
127
13.1.2
Reciprocal Lattice Definition
128
13.1.3
The Reciprocal Lattice as a Fourier Transform
129
13.1.4
Reciprocal Lattice Points as Families of Lattice
Planes
130
13.1.5
Lattice Planes and Miller Indices
132
13.2
Brillouin Zones
134
13.2.1
Review of One-Dimensional Dispersions and
Brillouin Zones
134
13.2.2
General Brillouin Zone Construction
134
13.3
Electronic and Vibrational Waves in Crystals in Three
Dimensions
136
Exercises
137
V Neutron and
Х
-Ray Diffraction
139
14
Wave Scattering by Crystals
141
14.1
The
Laue
and Bragg Conditions
141
14.1.1
Fermi s Golden Rule Approach
141
14.1.2
Diffraction Approach
142
14.1.3
Equivalence of
Laue
and Bragg conditions
143
14.2
Scattering Amplitudes
144
14.2.1
Simple Example
146
14.2.2
Systematic Absences and More Examples
147
14.2.3
Geometric Interpretation of Selection Rules
149
14.3
Methods of Scattering Experiments
150
14.3.1
Advanced Methods
150
14.3.2
Powder Diffraction
151
14.4
Still More About Scattering
156
14.4.1
Scattering in Liquids and Amorphous Solids
156
14.4.2
Variant: Inelastic Scattering
156
14.4.3
Experimental Apparatus
157
Exercises
159
xii Contents
VI
Electrons
in Solids
161
15
Electrons in a Periodic Potential
163
15.1
Nearly Free Electron Model
163
15.1.1
Degenerate Perturbation Theory
165
15.2
Bloch s Theorem
169
Exercises
171
16
Insulator, Semiconductor, or Metal
173
16.1
Energy Bands in One Dimension
173
16.2
Energy Bands in Two and Three Dimensions
175
16.3
Tight Binding
177
16.4
Failures of the Band-Structure Picture of Metals and
Insulators
177
16.5
Band Structure and Optical Properties
179
16.5.1
Optical Properties of Insulators and
Semiconductors
179
16.5.2
Direct and Indirect Transitions
179
16.5.3
Optical Properties of Metals
180
16.5.4
Optical Effects of Impurities
181
Exercises
182
17
Semiconductor Physics
183
17.1
Electrons and Holes
183
17.1.1
Drude
Transport: Redux
186
17.2
Adding Electrons or Holes with Impurities: Doping
187
17.2.1
Impurity States
188
17.3
Statistical Mechanics of Semiconductors
191
Exercises
195
18
Semiconductor Devices
197
18.1
Band Structure Engineering
197
18.1.1
Designing Band Gaps
197
18.1.2
Non-Homogeneous Band Gaps
198
18.2
p
-п
Junction
199
18.3
The Transistor
203
Exercises
205
VII
Magnetism and Mean Field Theories
207
19
Magnetic Properties of Atoms: Para- and
Dia-Magnetism
209
19.1
Basic Definitions of Types of Magnetism
209
19.2
Atomic Physics: Hund s Rules
211
19.2.1
Why Moments Align
212
19.3
Coupling of Electrons in Atoms to an External Field
214
19.4
Free Spin (Curie or
Langevin) Paramagnetism
215
19.5
Larmor Diamagnetism
217
Contents xiii
19.6 Atoms in
Solids
218
19.6.1 Pauli Paramagnetism in Metals 219
19.6.2 Diamagnetism in
Solids
219
19.6.3 Curie Paramagnetism in
Solids
220
Exercises
222
20
Spontaneous Magnetic Order:
Ferro-, Antiferro-,
and
Ferri-Magnetism 225
20.1
(Spontaneous) Magnetic Order
226
20.1.1
Ferromagnets
226
20.1.2
Antiferromagnets
226
20.1.3
Ferrimagnets
227
20.2
Breaking Symmetry
228
20.2.1
Ising Model
228
Exercises
229
21
Domains and Hysteresis
233
21.1
Macroscopic Effects in Ferromagnets: Domains
233
21.1.1
Domain Wall Structure and the
Bloch/Néel Wall
234
21.2
Hysteresis in Ferromagnets
236
21.2.1
Disorder Pinning
236
21.2.2
Single-Domain Crystallites
236
21.2.3
Domain Pinning and Hysteresis
238
Exercises
240
22
Mean Field Theory
243
22.1
Mean Field Equations for the Ferromagnetic Ising Model
243
22.2
Solution of Self-Consistency Equation
245
22.2.1
Paramagnetic Susceptibility
246
22.2.2
Further Thoughts
247
Exercises
248
23
Magnetism from Interactions: The Hubbard Model
251
23.1
Itinerant Ferromagnetism
252
23.1.1
Hubbard Ferromagnetism Mean Field Theory
252
23.1.2
Stoner
Criterion
253
23.2
Mott Antiferromagnetism
255
23.3
Appendix: Hubbard Model for the Hydrogen Molecule
257
Exercises
259
A Sample Exam and Solutions
261
В
List of Other Good Books
275
Indices
279
Index of People
280
Index of Topics
283
The study of solids is one of the richest, most exciting, and most successful branches
of physics. While the subject of solid state physics is often viewed as dry and tedious, this book
presents the topic instead as an exciting exposition of fundamental principles and great intellectual
breakthroughs. Beginning with a discussion of how the study of heat capacity of solids ushered
in the quantum revolution, the author presents the key ideas of the field while emphasizing
the deep underlying concepts.
The book begins with a discussion of the Einstein/Debye model of specific heat, and the
Drude/Sommerfeld
theories of electrons in solids, which can all be understood without reference
to any underlying crystal structure.The failures of these theories force a more serious investigation
ot microscopies. Many of the key ideas about waves
m
solids are then introduced using one-
dimensional models in order to convey concepts without getting bogged down with details.
Only then does the book turn to consider real materials.
Chemical bonding is introduced, and then atoms can be bonded together to form crystal
structures and reciprocal space results. Diffraction experiments, as the central application of these
ideas,are discussed
m
great detail. From there, the connection is made to electron wave
diťfraction
in solids and how it results in electronic band structure.The natural culmination of this thread
is the triumph of semiconductor physics and devices.
The final section of the book considers magnetism in order to discuss
л
range of deeper
concepts.The failures of band theory due to electron interaction, spontaneous magnetic orders,
and mean field theories are presented. Finally, the book gives a brief exposition of the Hubbard
model that under-graduates can understand.
This book makes complex concepts easy to understand, widi the help of generous footnotes
that explain and even entertain.This may be the best introductory book for learning solid state
physics. It is certainly the most tun to read.
Steven H. Simon is a Professor ot Theoretical Condensed Matter Phvsics at the
University of Oxford, and Fellow of Somerville College, Oxford.
The author, Steven Simon, is well known as an insightful scientist and an engaging and witty
speaker,and it is a pleasure to see how well
hts
talents translate to the printed page. He has
re-examined with a modern eye the question of which topics should be covered in a student s
first exposure to the physics of solids. My impression is that his presentation of those topics
will be accessible for the student, illuminating for the expert, and entertaining
tbr
all.
Joel E. Moore, University of California. Berkeley, and Lawrence Berkeley National Laboratory
The style of the book is very accessible for undergraduates.The topics are well motivated
and the explanations are clear, helped by a generous set of figures for illustration.This textbook
may well establish itself as an alternative to the available classics.
Derek Lee, Imperial College London
(lover
пш^е:
The Hrillouiti zone of«) fcc lattice (green) with
.!
spherical Fermi
чігкке
for
a monovalent
metal vellnu
i suDťroosťii.
|
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| ctrlnum | (OCoLC)856803582 (DE-599)BVBBV041078232 |
| dewey-full | 530.41 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.41 |
| dewey-search | 530.41 |
| dewey-sort | 3530.41 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. ed. |
| format | Book |
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| spelling | Simon, Steven H. 1967- Verfasser (DE-588)1036855023 aut The Oxford solid state basics Steven H. Simon Solid state basics 1. ed. Oxford [u.a.] Oxford Univ. Press 2013 XIII, 290 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references Solid state physics Festkörperphysik (DE-588)4016921-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Festkörperphysik (DE-588)4016921-2 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055074&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055074&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Simon, Steven H. 1967- The Oxford solid state basics Solid state physics Festkörperphysik (DE-588)4016921-2 gnd |
| subject_GND | (DE-588)4016921-2 (DE-588)4123623-3 |
| title | The Oxford solid state basics |
| title_alt | Solid state basics |
| title_auth | The Oxford solid state basics |
| title_exact_search | The Oxford solid state basics |
| title_full | The Oxford solid state basics Steven H. Simon |
| title_fullStr | The Oxford solid state basics Steven H. Simon |
| title_full_unstemmed | The Oxford solid state basics Steven H. Simon |
| title_short | The Oxford solid state basics |
| title_sort | the oxford solid state basics |
| topic | Solid state physics Festkörperphysik (DE-588)4016921-2 gnd |
| topic_facet | Solid state physics Festkörperphysik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055074&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026055074&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT simonstevenh theoxfordsolidstatebasics AT simonstevenh solidstatebasics |