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Key methods and concepts in condensed matter physics : Green's functions and real space renormalization group / Mucio A. Continentino.

By: Continentino, Mucio A. (Mucio Amado) [author.].
Contributor(s): Institute of Physics (Great Britain) [publisher.].
Material type: materialTypeLabelBookSeries: IOP (Series)Release 21: ; IOP ebooks2021 collection: Publisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]Description: 1 online resource (various pagings) : illustrations (some color).Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750333955; 9780750333948.Other title: Green's functions and real space renormalization group.Subject(s): Condensed matter | Green's functions | Renormalization (Physics) | Condensed matter physics (liquid state & solid state physics) | SCIENCE / Physics / Condensed MatterAdditional physical formats: Print version:: No titleDDC classification: 530.41 Online resources: Click here to access online Also available in print.
Contents:
1. The fluctuation-dissipation theorem -- 1.1. Introduction -- 1.2. Linear response theory -- 1.3. Fluctuation-dissipation theorem
2. Green's function method -- 2.1. Green's functions and correlations -- 2.2. Spin-waves in ferromagnets -- 2.3. Critical exponents
3. Perturbative method for Green's functions -- 3.1. Time independent perturbations -- 3.2. Time dependent perturbations
4. Green's functions and disorder -- 4.1. Configuration averaged Green's function -- 4.2. Spin wave propagation in disordered media as a random frequency modulation problem -- 4.3. The infinite range ferromagnet -- 4.4. The infinite range random Heisenberg ferromagnet -- 4.5. Appendix
5. Real space renormalization group -- 5.1. Phase transitions and the renormalization group -- 5.2. Bond percolation in a square lattice -- 5.3. Hierarchical lattices -- 5.4. The Ising model -- 5.5. Ising ferromagnet in a magnetic field -- 5.6. First order phase transitions
6. Real space renormalization group : quantum systems -- 6.1. Quantum systems -- 6.2. The free energy -- 6.3. A simpler approach -- 6.4. Quantum phase transitions
7. Disordered systems -- 7.1. Introduction -- 7.2. Random field models -- 7.3. Random spin chains -- 7.4. Anderson localization
8. Topological systems -- 8.1. Introduction -- 8.2. One-dimensional Ising model in a transverse field revisited -- 8.3. The Su-Schriefer-Heeger model -- 8.4. Bulk-boundary correspondence -- 8.5. Spinor representation of the SSH model -- 8.6. Topological invariant for odd d-dimensional systems with chiral symmetry.
Abstract: This book aims to present a concise introduction, for graduate students and researchers, to powerful techniques and important concepts in condensed matter physics. Key conceptual elements include the fluctuation-dissipation theorem, the theory of critical phenomena (both classical and quantum) and the renormalization group. The book focuses on the Green's functions method and the real space renormalization group (RG).
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"Version: 20210204"--Title page verso.

Includes bibliographical references.

1. The fluctuation-dissipation theorem -- 1.1. Introduction -- 1.2. Linear response theory -- 1.3. Fluctuation-dissipation theorem

2. Green's function method -- 2.1. Green's functions and correlations -- 2.2. Spin-waves in ferromagnets -- 2.3. Critical exponents

3. Perturbative method for Green's functions -- 3.1. Time independent perturbations -- 3.2. Time dependent perturbations

4. Green's functions and disorder -- 4.1. Configuration averaged Green's function -- 4.2. Spin wave propagation in disordered media as a random frequency modulation problem -- 4.3. The infinite range ferromagnet -- 4.4. The infinite range random Heisenberg ferromagnet -- 4.5. Appendix

5. Real space renormalization group -- 5.1. Phase transitions and the renormalization group -- 5.2. Bond percolation in a square lattice -- 5.3. Hierarchical lattices -- 5.4. The Ising model -- 5.5. Ising ferromagnet in a magnetic field -- 5.6. First order phase transitions

6. Real space renormalization group : quantum systems -- 6.1. Quantum systems -- 6.2. The free energy -- 6.3. A simpler approach -- 6.4. Quantum phase transitions

7. Disordered systems -- 7.1. Introduction -- 7.2. Random field models -- 7.3. Random spin chains -- 7.4. Anderson localization

8. Topological systems -- 8.1. Introduction -- 8.2. One-dimensional Ising model in a transverse field revisited -- 8.3. The Su-Schriefer-Heeger model -- 8.4. Bulk-boundary correspondence -- 8.5. Spinor representation of the SSH model -- 8.6. Topological invariant for odd d-dimensional systems with chiral symmetry.

This book aims to present a concise introduction, for graduate students and researchers, to powerful techniques and important concepts in condensed matter physics. Key conceptual elements include the fluctuation-dissipation theorem, the theory of critical phenomena (both classical and quantum) and the renormalization group. The book focuses on the Green's functions method and the real space renormalization group (RG).

Graduate students and researchers in condensed matter physics. The book can be used as a textbook for courses in statistical mechanics and condensed matter physics.

Also available in print.

Mode of access: World Wide Web.

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

Mucio Amado Continentino is a Full Professor at The Brazilian Center for Research in Physics (CBPF). He is a member of the Brazilian Academy of Sciences and has published more than 250 papers in the field of condensed matter physics. He has supervised many theses on several subjects in this area and has taught many courses at CBPF and Universidade Federal Fluminense. His last book Quantum Scaling in Many-body Systems: An Approach to Quantum Phase Transitions was published in 2017.

Title from PDF title page (viewed on May 6, 2021).

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