Ebook: Quantum Electron Liquids and High-T c Superconductivity

The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-Tc superconducting materials. The starting viewpoint to address the problem of strongly correlated fermion systems and related issues of modern condensed matter physics is the renormalization group approach applied to quantum field theory and statistical physics. The authors review the essentials of the Landau Fermi liquid theory, they discuss the 1d electron systems and the Luttinger liquid concept using different techniques: the renormalization group approach, bosonization, and the correspondence between exactly solvable lattice models and continuum field theory. Finally they present the basic phenomenology of the high-Tc compounds and different theoretical models to explain their behaviour.

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The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-Tc superconducting materials. The starting viewpoint to address the problem of strongly correlated fermion systems and related issues of modern condensed matter physics is the renormalization group approach applied to quantum field theory and statistical physics. The authors review the essentials of the Landau Fermi liquid theory, they discuss the 1d electron systems and the Luttinger liquid concept using different techniques: the renormalization group approach, bosonization, and the correspondence between exactly solvable lattice models and continuum field theory. Finally they present the basic phenomenology of the high-Tc compounds and different theoretical models to explain their behaviour.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
Fermi Liquid in D ? 2....Pages 3-29
Effective Actions and the Renormalization Group....Pages 31-67
Front Matter....Pages 69-69
Electronic Systems in d = 1....Pages 71-86
Bosonization. Luttinger Liquid....Pages 87-107
Correspondence from Discrete to Continuum Models....Pages 109-124
Front Matter....Pages 125-125
From the Cuprate Compounds to the Hubbard Model....Pages 127-149
The Mott Transition and the Hubbard Model....Pages 151-173
Strong Coupling Limit and Some Exact Results....Pages 175-189
Resonating Valence Bond States and High-T c Superconductivity....Pages 191-212
The Hubbard Model at D = 1....Pages 213-245
New and Old Real-Space Renormalization Group Methods for Quantum Lattice Hamiltonians....Pages 247-299

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The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-Tc superconducting materials. The starting viewpoint to address the problem of strongly correlated fermion systems and related issues of modern condensed matter physics is the renormalization group approach applied to quantum field theory and statistical physics. The authors review the essentials of the Landau Fermi liquid theory, they discuss the 1d electron systems and the Luttinger liquid concept using different techniques: the renormalization group approach, bosonization, and the correspondence between exactly solvable lattice models and continuum field theory. Finally they present the basic phenomenology of the high-Tc compounds and different theoretical models to explain their behaviour.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
Fermi Liquid in D ? 2....Pages 3-29
Effective Actions and the Renormalization Group....Pages 31-67
Front Matter....Pages 69-69
Electronic Systems in d = 1....Pages 71-86
Bosonization. Luttinger Liquid....Pages 87-107
Correspondence from Discrete to Continuum Models....Pages 109-124
Front Matter....Pages 125-125
From the Cuprate Compounds to the Hubbard Model....Pages 127-149
The Mott Transition and the Hubbard Model....Pages 151-173
Strong Coupling Limit and Some Exact Results....Pages 175-189
Resonating Valence Bond States and High-T c Superconductivity....Pages 191-212
The Hubbard Model at D = 1....Pages 213-245
New and Old Real-Space Renormalization Group Methods for Quantum Lattice Hamiltonians....Pages 247-299
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