Theoretical tools for spin models in magnetic systems /

The book is dedicated to the study of theoretical tools in spin models in magnetism. The book presents the basic tools to treat spin models in magnetic systems such as: spin waves, Schwinger bosons formalism, Self-consistent harmonic approximation, Kubo theory, Perturbation theory using Green's...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pires, Antonio Sergio Teixeira (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Colección:IOP (Series). Release 21.
IOP ebooks. 2021 collection.
Temas:
Condensed matter > Magnetic properties.
Nuclear spin.
Condensed matter physics (liquid state & solid state physics)
SCIENCE / Physics / Condensed Matter.
Acceso en línea:Texto completo

MARC

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100 1 |a Pires, Antonio Sergio Teixeira,  |e author. 
245 1 0 |a Theoretical tools for spin models in magnetic systems /  |c Antonio Sergio Teixeira Pires. 
264 1 |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :  |b IOP Publishing,  |c [2021] 
300 |a 1 online resource (various pagings) :  |b illustrations (some color). 
336 |a text  |2 rdacontent 
337 |a electronic  |2 isbdmedia 
338 |a online resource  |2 rdacarrier 
490 1 |a [IOP release $release] 
490 1 |a IOP ebooks. [2021 collection] 
500 |a "Version: 20210204"--Title page verso. 
504 |a Includes bibliographical references. 
505 0 |a 1. The Heisenberg model -- 1.1. Ground state for the ferromagnet -- 1.2. Spontaneous broken symmetries -- 1.3. Ground state for the antiferromagnet -- 1.4. Excited states for the ferromagnet -- 1.5. Translational symmetry -- 1.6. Two spin waves -- 1.7. Long-range order -- 1.8. Mermin and Wagner's theorem -- 1.9. The Ising model -- 1.10. Brillouin zone -- 1.11. Mean-field approximation for the classical ferromagnetic Heisenberg model -- 1.12. Landau theory for phase transitions -- 1.13. The Hubbard model -- 1.14. Exercises 
505 8 |a 2. Spin waves I -- 2.1. Ferromagnet -- 2.2. Antiferromagnet -- 2.3. Helimagnets -- 2.4. Rotated sublattice -- 2.5. The XY model -- 2.6. The compass model -- 2.7. The Jordan-Wigner transformation -- 2.8. Hardcore bosons -- 2.9. Majorana fermions -- 2.10. Exercises 
505 8 |a 3. Spin waves II -- 3.1. Triangular lattice -- 3.2. Square lattice Heisenberg antiferromagnet in an external magnetic field -- 3.3. Dzyaloshinskii-Moriya interaction -- 3.4. Symmetries -- 3.5. Nonlinear spin-wave theory -- 3.6. Modified spin-wave theory -- 3.7. Exercises 
505 8 |a 4. Lattices with two inequivalent sites -- 4.1. The ferromagnetic honeycomb lattice -- 4.2. Generalized Bogoliubov transformation -- 4.3. The antiferromagnetic checkerboard lattice -- 4.4. Antiferromagnetic honeycomb lattice -- 4.5. The antiferromagnetic Union Jack lattice -- 4.6. Exercises 
505 8 |a 5. Schwinger bosons -- 5.1. Schwinger bosons -- 5.2. Mean-field approximation -- 5.3. Ferromagnet -- 5.4. Antiferromagnet -- 5.5. Gauge transformation -- 5.6. Frustration -- 5.7. Schwinger boson and the J1-J2 model -- 5.8. Valence bonds -- 5.9. VBS ground states for spins larger than 1/2 -- 5.10. Fermion operators -- 5.11. Holons -- 5.12. The dimer order parameter -- 5.13. The Shastry-Sutherland lattice -- 5.14. Exercises 
505 8 |a 6. Bond operators and Schwinger SU(3) bosons -- 6.1. Bond operators -- 6.2. Quantum phase transitions -- 6.3. Schwinger SU(3) bosons -- 6.4. Bilinear biquadratic model -- 6.5. Variational approach -- 6.6. Exercises 
505 8 |a 7. Dynamics -- 7.1. Linear response theory -- 7.2. Relation between susceptibility and Green function -- 7.3. Correlation functions -- 7.4. Sum rules -- 7.5. A simple example -- 7.6. Spin transport -- 7.7. Kubo formulas -- 7.8. Green functions -- 7.9. Equation of motion for the retarded Green function -- 7.10. Green function in another context -- 7.11. The memory function method -- 7.12. Hydrodynamic fluctuations -- 7.13. A brief discussion about experimental techniques -- 7.14. Exercises 
505 8 |a 8. Perturbation theory -- 8.1. The interaction representation -- 8.2. Green functions -- 8.3. Wick's theorem -- 8.4. Feynman diagrams -- 8.5. Interpretation of the Green function -- 8.6. Two-particle Green function -- 8.7. Antiferromagnet -- 8.8. Finite temperature Green function -- 8.9. Magnon-phonon interaction -- 8.10. Exercise 
505 8 |a 9. Topological magnon Hall effects -- 9.1. Quantum Hall effect of electrons -- 9.2. Magnons in ferromagnets -- 9.3. Transport in two-band models -- 9.4. Thermal Hall conductivity -- 9.5. Three-band model -- 9.6. Calculation of the edge modes -- 9.7. Antiferromagnets -- 9.8. Skyrmions -- 9.9. Exercises 
505 8 |a 10. Topological spin liquids -- 10.1. Z2 gauge theory -- 10.2. Dimers 
505 8 |a 11. Numerical methods for spin models -- 11.1. Monte Carlo -- 11.2. Classical Monte Carlo -- 11.3. Quantum Monte Carlo -- 11.4. High-temperature expansions -- 11.5. The density matrix renormalization group -- 11.6. Exact diagonalization -- 11.7. Coupled-cluster method -- 11.8. Conclusions. 
520 3 |a The book is dedicated to the study of theoretical tools in spin models in magnetism. The book presents the basic tools to treat spin models in magnetic systems such as: spin waves, Schwinger bosons formalism, Self-consistent harmonic approximation, Kubo theory, Perturbation theory using Green's function. Several examples where the theory is applied in modern research, are discussed. Some important areas of interest in magnetism today are spin liquids and magnon topological insulators. Both of these subjects are discussed in the book. The book has been written to help graduate students working in the area of spin models in magnetic systems. There are a lot of books that lead with Green's function, but a student has to study almost the whole book to grasp some idea of the theme. The same is true for the linear response theory and spin liquids. The author believes this book will enable students to start doing research in spin models without the need for extensive reading of the literature. 
521 |a Graduate students. 
530 |a Also available in print. 
538 |a Mode of access: World Wide Web. 
538 |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. 
545 |a Antonio Sergio Teixeira Pires obtained his doctoral degree from University of California in Santa Barbara in 1976. He is a professor of Physics at Federal University of Minas Gerais, Brazil, where he carries out research in the area of magnetism. He is a member of the Brazilian Academy of Science and was the Editor of the Brazilian Journal of Physics and a member of the Advisory Board of the Journal of Physics: Condensed Matter. He has published 230 papers and the books ADS/CFT Correspondence in Condensed Matter and A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics. 
588 0 |a Title from PDF title page (viewed on May 6, 2021). 
650 0 |a Condensed matter  |x Magnetic properties. 
650 0 |a Nuclear spin. 
650 7 |a Condensed matter physics (liquid state & solid state physics)  |2 bicssc 
650 7 |a SCIENCE / Physics / Condensed Matter.  |2 bisacsh 
710 2 |a Institute of Physics (Great Britain),  |e publisher. 
776 0 8 |i Print version:  |z 9780750338776  |z 9780750338806 
830 0 |a IOP (Series).  |p Release 21. 
830 0 |a IOP ebooks.  |p 2021 collection. 
856 4 0 |u https://iopscience.uam.elogim.com/book/978-0-7503-3879-0  |z Texto completo 

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