Springer Solid-State Sciences

The Physics of Manganites and Related Compounds

By: Elbio Dagotto

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Hardcover | 18 November 2002

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484 Pages

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23.5 x 16.51 x 1.91

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The study of the spontaneous formation of nanostructures in single crystals is rapidly developing into a dominant field of research in the subject area known as strongly correlated electrons. The structures appear to originate in the competition of phases. This book addresses nanoscale phase separation, focusing on the manganese oxides with colossal magnetoresistance (CMR). The text argues that nanostructures are at the heart of the CMR phenomenon. Other compounds are also addressed, such as high-temperature superconductors, where similar nanostructures exist. Brief contributions by distinguished researchers are also included. The book contains updated information directed at experts, both theorists and experimentalists. Beginning graduate students or postdocs will also benefit from the introductory material of the early chapters, and the book can be used as a reference for an advanced graduate course.

Industry Reviews

From the reviews:

"Dagotto has authored a fascinating book that comprehensively presents both the physical properties of manganites and our theoretical understanding of these unusual properties. ... the publishers have, as usual, produced a durable volume which is well bound, nicely typeset, and nicely illustrated with many useful figures ... . This is a volume that will prove useful for many years and that will also survive extensive use ... . As such it is highly recommended to the reader who wants an in-depth view of the manganites." (Gary J. Long and Fernande Grandjean, Physicalia, Vol. 57 (2), 2005)

"The book of E. Dagotto, being an original introduction to the physics of manganites, is focused mainly on the problem of nanoscale phase separation of these materials. ... The book ... provides a solid knowledge of the foundations of the correlation effects and the present status of the field. ... this book will be also of a great value for researchers already working in the field of strongly correlated systems as well as for these who are interested in new materials for the spintronics." (G. B. Teitel'baum, Applied Magnetic Resonance, Vol. 24 (2), 2003)

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Why Manganites Are Interesting	p. 1
A Dominant Theme of Current Times: Strongly Correlated Electrons	p. 1
The Growing Interest in Manganite Research	p. 2
Nanoscale Phase Separation	p. 4
Complexity in Materials	p. 5
Computational Techniques in Complex Systems	p. 5
Other Books and Reviews	p. 7
The Evolution of Condensed Matter Physics	p. 7
The Discovery of Manganites and the Colossal Magnetoresistance Effect	p. 9
The Early Days of Manganites	p. 9
The Colossal MR Effect	p. 13
Early Theoretical Studies	p. 15
Tolerance Factor	p. 19
High Magnetic Fields	p. 20
Phase Diagrams and Basic Properties of Manganites	p. 23
The Intermediate Bandwidth Compound La_1-xCa_xMnO₃	p. 23
Basic Properties of Pr_1-xCa_xMnO₃	p. 30
Basic Properties of La_1-xSr_xMnO₃	p. 35
Half-Metallic Ferromagnets	p. 38
Basic Properties of Nd_1-xSr_xMnO₃ and Pr_1-xSr_xMnO₃	p. 41
Summary of Results for Perovskites	p. 42
Basic Properties of Bilayer Manganites	p. 42
Basic Properties of Single-Layer Manganites	p. 48
Preliminary Theoretical Considerations: Coulombic and Jahn Teller Effects	p. 51
Basic Multi Orbital Model and On Site Coulomb Interactions	p. 51
Crystal Field Splitting and Jahn Teller Effect	p. 57
Perturbing Potential due to the Crystal	p. 57
The Jahn Teller Effect	p. 63
Models for Manganites	p. 71
Coulombic Terms	p. 71
Heisenberg Term	p. 72
The Electron-Phonon Interaction	p. 73
A Simple but Realistic Model for Manganites	p. 74
The One-Orbital Model	p. 75
The Limit of J_H = ∞	p. 76
The Relevance of Jahn-Teller Phonons	p. 77
The Two-Orbital Model	p. 78
Hopping Amplitudes	p. 79
Noninteracting e_g-electron Model	p. 81
Estimation of Couplings	p. 83
The One-Orbital Model: Phase Diagram and Dominant Correlations	p. 87
Phase Diagram at J_AF = 0.0	p. 87
Ferromagnetism	p. 88
Critical Temperature of the 3D One-Orbital Model in the Ferromagnetic Regime	p. 93
Antiferromagnetism at Electronic Density <$$$>n<$$$> = 1.0	p. 95
Phase Separation	p. 96
Compressibility and Phase Separation	p. 100
High Compressibility near Phase Separation	p. 102
Spin Incommensurability	p. 103
Phase Diagram using Quantum S = 3/2 Spins	p. 105
Influence of Long-Ranged Coulomb Repulsion on Phase Separation	p. 109
Phase Diagram Including the J_AF Coupling	p. 1ll
Exotic Phases Induced by J_AF	p. 112
The Spin-Fermion Model for Cuprates	p. 117
Appendix I: The Effective Hopping tcos <$$$>	p. 119
Appendix II: Brief Introduction to the Kondo Effect	p. 122
Monte Carlo Simulations and Application to Manganite Models with	p. 125
Numerical Integration	p. 125
Simple Sampling	p. 126
Importance Samplin	p. 126
Monte Carlo Simulations	p. 127
Importance Sampling of Physical Quantities	p. 127
Markov Processes	p. 128
Sampling Techniques	p. 129
The Ising Model	p. 130
A Brief Summary of Quantum MC Techniques	p. 133
Basic Monte Carlo Formalism for Manganite Models	p. 137
Calculation of Static Observables	p. 139
Calculation of Time-dependent Observables	p. 141
Details of the Monte Carlo Programs	p. 144
Appendix: Summary of Rigorous Results for the Heisenberg Model	p. 151
A. Short-Range Interactions	p. 152
B. Long-Range Interactions	p. 153
C. Ising Interactions	p. 153
Appendix: MC Code for the Ising Model	p. 154
Mean-Field Approximation with	p. 157
Brief Introduction	p. 157
Application to Manganite Models	p. 159
Solution of the Mean-Field Equations	p. 165
Two-Orbitals Model and Orbital Order	p. 169
Monte Carlo Results and Phase Diagram	p. 169
Phase Diagram in the Hole-Undoped Case	p. 171
New Phases in the Undoped Limit?	p. 175
Phase Diagram at Hole Density x ≠ 0	p. 177
Effective t-J-like Hamiltonians and Orbitons	p. 180
Resonant X-ray Scattering as a Probe of Orbital and Charge Ordering	p. 184
Orbital Ordering and Resonant X-ray Scattering in Colossal Magnetoresistive Manganites	p. 188
Charge Ordering: CE-States, Stripes, and Bi-Stripeswith	p. 193
Early Considerations	p. 193
Monte Carlo and Mean-Field Approximations	p. 194
Charge Stacking	p. 196
Stripes	p. 197
The Band-Insulator Picture	p. 199
A Reminder of the Band-Insulator Concept	p. 199
Band-Insulator in the Context of Half-Doped Manganites201
Bi-stripe Structure at x > 0.5	p. 208
Inhomogeneities in Manganites: The Case of La_1-xCa_xMnO₃	p. 213
Inhomogeneities in La_1-xCa_xMnO₃	p. 214
Brief Introduction to Neutron Scattering	p. 214
Neutron Scattering in La_1-xCa_xMnO₃	p. 222
Anomalous Softening of Zone-Boundary Magnons	p. 225
Volume Thermal Expansion	p. 228
Electron Microscopy	p. 230
Brief Introduction to STM	p. 232
Scanning Tunneling Spectroscopy in La_1-xCa_xMnO₃	p. 233
PDF, X-Ray, and Small-Angle Neutron Scattering Experiments	p. 235
Brief Introduction to Nuclear Magnetic Resonance	p. 237
Nuclear Magnetic Resonance in La_1-xCa_xMnO₃	p. 239
The NMR "Wipeout" Effect	p. 241
Influence of Cr Doping on Charge-Ordered Manganites	p. 243
Giant Noise in Manganites	p. 245
0ther Results Related with Phase Separation	p. 247
Inhomogeneities in Electron-Doped Manganites	p. 248
Probing of Phase-segregated Systems with Low-Temperature Heat-Capacity Measurements	p. 251
Optical Conductivity	p. 255
$$: Experimental Results in Manganites	p. 255
$$: Theoretical Results	p. 262
Brief Introduction to Experimental Aspects of Optical Spectroscopy	p. 267
Glassy Behavior and Time-Dependent Phenomena	p. 273
Brief Introduction to Spin-Glasses	p. 273
Glassy Behavior in Manganites	p. 277
Long Relaxation Times	p. 277
Phase Separation at x = 0.5 LCMO	p. 278
Manganites: Canonical Glasses or a New Glassy State?	p. 280
Phase Separation, Time-Dependent Effects, and Glassy Behavior in the CMR Manganites	p. 281
Inhomogeneities in La_1-xSr_xMnO₃ and Pr_1-xCa_xMnO₃	p. 287
Results for La_1-xSr_xMnO₃	p. 287
Low Hole Density	p. 287
Density x ≈ 1/8	p. 289
Large Hole Density: Double-Exchange Behavior?	p. 290
Inhomogeneities in Sr-Based Manganites at x = 0.5	p. 291
Results for Pr_1-xSr_xMnO₃	p. 292
Inhomogeneities in Layered Manganites	p. 295
Mixed-Phase Tendencies in Bilayers	p. 295
Inhomogeneities at x = 0.50	p. 295
Inhomogeneities at x = 0.40	p. 296
Inhomogeneities at x
Table of Contents provided by Publisher. All Rights Reserved.

Springer Solid-State Sciences

The Physics of Manganites and Related Compounds

At a Glance

Hardcover

Industry Reviews

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Defective items

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