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Spin-wave theory and its applications to neutron scattering and THz spectroscopy / Randy S. Fishman, Jaime A. Fernandez-Baca, Toomas R�o�om.

By: Contributor(s): Material type: TextTextSeries: IOP (Series). Release 5. | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]Description: 1 online resource (various pagings) : illustrations (some color)Content type:
  • text
Media type:
  • electronic
Carrier type:
  • online resource
ISBN:
  • 9781643271149
  • 9781643271125
Subject(s): Additional physical formats: Print version:: No titleDDC classification:
  • 538/.3 23
LOC classification:
  • QC761 .F577 2018eb
Online resources: Also available in print.
Contents:
1. Introduction -- 2. Inelastic neutron scattering -- 2.1. Introduction -- 2.2. Neutron scattering basics -- 2.3. Some practical considerations -- 2.4. Instruments for INS -- 2.5. Neutron scattering at large user facilities -- 2.6. Exercises
3. THz spectroscopy -- 3.1. Introduction -- 3.2. THz spectroscopy in high magnetic fields -- 3.3. Acquisition and analysis of single-crystal SW spectra -- 3.4. Selection rules -- 3.5. Summary -- 3.6. Exercises
4. Spin-wave theory -- 4.1. Introduction -- 4.2. SW formalism -- 4.3. Spin-spin correlation function and INS -- 4.4. THz spectroscopy -- 4.5. SW amplitudes -- 4.6. General considerations -- 4.7. Appendix 4.A : symmetry and matrices -- 4.8. Appendix 4.B : classical check -- 4.9. Appendix 4.C : shortcuts -- 4.10. Appendix 4.D : orthogonal and hexagonal notations -- 4.11. Appendix 4.E : spin susceptibility -- 4.12. Exercises
5. Model collinear magnets -- 5.1. Introduction -- 5.2. A FM in a magnetic field -- 5.3. A FM chain with alternating exchange interactions -- 5.4. A FM on a honeycomb lattice -- 5.5. An AF in a magnetic field -- 5.6. Powder spectra -- 5.7. Exercises
6. Model non-collinear magnets -- 6.1. Introduction -- 6.2. An AF chain with alternating DM interactions -- 6.3. A helix or cycloid produced by CE -- 6.4. A cycloid produced by DM interactions -- 6.5. Comparison of CE and DM cycloids -- 6.6. Incommensurate cycloids in 2D or 3D -- 6.7. A helix produced by GF on a TLA -- 6.8. The inverse problem -- 6.9. Exercises
7. Inelastic neutron-scattering case studies -- 7.1. Introduction -- 7.2. Amorphous FMs -- 7.3. An easy-axis AF -- 7.4. A multiferroic metal-organic framework -- 7.5. Spin states of a TLA -- 7.6. Summary
8. THz spectroscopy case studies -- 8.1. Introduction -- 8.2. A cycloid produced by DM interactions -- 8.3. An AF with strong easy-plane anisotropy -- 8.4. Prospects for the future -- 9. Conclusion.
Abstract: Two of the most powerful tools used to study magnetic materials are inelastic neutron scattering and THz spectroscopy. Because the measured spectra provide a dynamical fingerprint of a magnetic material, those tools enable scientists to unravel the structure of complex magnetic states and to determine the microscopic interactions that produce them. This book discusses the experimental techniques of inelastic neutron scattering and THz spectroscopy and provides the theoretical tools required to analyze their measurements using spin-wave theory. For most materials, this analysis can resolve the microscopic magnetic interactions such as exchange, anisotropy, and Dzyalloshinskii-Moriya interactions. Assuming a background in elementary statistical mechanics and a familiarity with the quantized harmonic oscillator, this book presents a comprehensive review of spin-wave theory and its applications to both inelastic neutron scattering and THz spectroscopy. Spin-wave theory is used to study several model magnetic systems, including non-collinear magnets such as spirals and cycloids that are produced by geometric frustration, competing exchange interactions, or Dzyalloshinskii-Moirya interactions. Several case studies utilizing spin-wave theory to analyze inelastic neutron-scattering and THz spectroscopy measurements are presented. These include both single crystals and powders and both oxides and molecule-based magnets. In addition to sketching the numerical techniques used to fit dynamical spectra based on microscopic models, this book also contains over 70 exercises that can be performed by beginning graduate students.
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Item type Current library Call number Status Date due Barcode Item holds
Institue of Physics Institue of Physics BITS Pilani Hyderabad 538/.3 (Browse shelf(Opens below)) Available IOP00042
Total holds: 0

"Version: 20181101"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

1. Introduction -- 2. Inelastic neutron scattering -- 2.1. Introduction -- 2.2. Neutron scattering basics -- 2.3. Some practical considerations -- 2.4. Instruments for INS -- 2.5. Neutron scattering at large user facilities -- 2.6. Exercises

3. THz spectroscopy -- 3.1. Introduction -- 3.2. THz spectroscopy in high magnetic fields -- 3.3. Acquisition and analysis of single-crystal SW spectra -- 3.4. Selection rules -- 3.5. Summary -- 3.6. Exercises

4. Spin-wave theory -- 4.1. Introduction -- 4.2. SW formalism -- 4.3. Spin-spin correlation function and INS -- 4.4. THz spectroscopy -- 4.5. SW amplitudes -- 4.6. General considerations -- 4.7. Appendix 4.A : symmetry and matrices -- 4.8. Appendix 4.B : classical check -- 4.9. Appendix 4.C : shortcuts -- 4.10. Appendix 4.D : orthogonal and hexagonal notations -- 4.11. Appendix 4.E : spin susceptibility -- 4.12. Exercises

5. Model collinear magnets -- 5.1. Introduction -- 5.2. A FM in a magnetic field -- 5.3. A FM chain with alternating exchange interactions -- 5.4. A FM on a honeycomb lattice -- 5.5. An AF in a magnetic field -- 5.6. Powder spectra -- 5.7. Exercises

6. Model non-collinear magnets -- 6.1. Introduction -- 6.2. An AF chain with alternating DM interactions -- 6.3. A helix or cycloid produced by CE -- 6.4. A cycloid produced by DM interactions -- 6.5. Comparison of CE and DM cycloids -- 6.6. Incommensurate cycloids in 2D or 3D -- 6.7. A helix produced by GF on a TLA -- 6.8. The inverse problem -- 6.9. Exercises

7. Inelastic neutron-scattering case studies -- 7.1. Introduction -- 7.2. Amorphous FMs -- 7.3. An easy-axis AF -- 7.4. A multiferroic metal-organic framework -- 7.5. Spin states of a TLA -- 7.6. Summary

8. THz spectroscopy case studies -- 8.1. Introduction -- 8.2. A cycloid produced by DM interactions -- 8.3. An AF with strong easy-plane anisotropy -- 8.4. Prospects for the future -- 9. Conclusion.

Two of the most powerful tools used to study magnetic materials are inelastic neutron scattering and THz spectroscopy. Because the measured spectra provide a dynamical fingerprint of a magnetic material, those tools enable scientists to unravel the structure of complex magnetic states and to determine the microscopic interactions that produce them. This book discusses the experimental techniques of inelastic neutron scattering and THz spectroscopy and provides the theoretical tools required to analyze their measurements using spin-wave theory. For most materials, this analysis can resolve the microscopic magnetic interactions such as exchange, anisotropy, and Dzyalloshinskii-Moriya interactions. Assuming a background in elementary statistical mechanics and a familiarity with the quantized harmonic oscillator, this book presents a comprehensive review of spin-wave theory and its applications to both inelastic neutron scattering and THz spectroscopy. Spin-wave theory is used to study several model magnetic systems, including non-collinear magnets such as spirals and cycloids that are produced by geometric frustration, competing exchange interactions, or Dzyalloshinskii-Moirya interactions. Several case studies utilizing spin-wave theory to analyze inelastic neutron-scattering and THz spectroscopy measurements are presented. These include both single crystals and powders and both oxides and molecule-based magnets. In addition to sketching the numerical techniques used to fit dynamical spectra based on microscopic models, this book also contains over 70 exercises that can be performed by beginning graduate students.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Randy Fishman was born New York City and received his PhD from Princeton University in 1985. After serving as a faculty member at North Dakota State University, he joined Oak Ridge National Laboratory in 1995 and is currently a Distinguished Research Scientist. He models the complex magnetic states of oxides and molecule-based magnets, often with neutron scatterers and spectroscopists. He is the author of over 160 scientific publications and a Fellow of the American Physical Society. Jaime Fernandez-Baca was born in Lima, Peru. He received training in neutron scattering at the National Bureau of Standards (now the National Institute of Standards and Technology) and at the University of Maryland-College Park, where he received his PhD in 1986 under Jeff Lynn. Afterwards, he joined ORNL as a postdoctoral fellow and is currently a Distinguished Research Scientist at ORNL. Fernandez-Baca's expertise is in the study of the magnetic ordering and spin dynamics of complex oxides and related alloys utilizing neutron scattering techniques. He is the author of over 150 technical articles. Fernandez-Baca is a Fellow of the American Physical Society and the Neutron Scattering Society of America. Toomas R�o�om was born in Tallinn, Estonia and received his PhD from Tartu University in 1993. After working with Tom Timusk at McMaster University, he established a terahertz spectroscopy research group at the National Institute of Chemical Physics and Biophysics in Tallinn, where he has been research professor since 1998. His research interest is combining infrared and terahertz spectroscopy with high magnetic fields and low temperatures to study magnetic and correlated-electron materials.

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