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

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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 theorem2. Green's function method -- 2.1. Green's functions and correlations -- 2.2. Spin-waves in ferromagnets -- 2.3. Critical exponents3. Perturbative method for Green's functions -- 3.1. Time independent perturbations -- 3.2. Time dependent perturbations4. 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. Appendix5. 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 transitions6. Real space renormalization group : quantum systems -- 6.1. Quantum systems -- 6.2. The free energy -- 6.3. A simpler approach -- 6.4. Quantum phase transitions7. Disordered systems -- 7.1. Introduction -- 7.2. Random field models -- 7.3. Random spin chains -- 7.4. Anderson localization8. 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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Call Number

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750333955

Classification

530.41

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Subject(s)

SCIENCE / Physics / Condensed Matter.
Condensed matter.
Green\'s functions.
Renormalization (Physics)

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Statement of Responsibility

Mucio A. Continentino.

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