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

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 t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Continentino, Mucio A. (Mucio Amado) (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.
Green's functions.
Renormalization (Physics)
Condensed matter physics (liquid state & solid state physics)
SCIENCE / Physics / Condensed Matter.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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