Ebook: New Theoretical Approaches to Strongly Correlated Systems

For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

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For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

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For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Damping of Collective Modes and Quasiparticles in d-Wave Superconductors....Pages 3-21
Front Matter....Pages 23-23
Dynamical Properties of One Dimensional Mott Insulators....Pages 25-46
Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II....Pages 47-88
Ising-Model Description of Quantum Critical Points in 1D Electron and Spin Systems....Pages 89-116
Commensurability, Topology and Luttinger’s Theorem in Quantum Many-Body Systems....Pages 117-137
Front Matter....Pages 139-139
Critical Points in Two-Dimensional Replica Sigma Models....Pages 141-161
Topics in the Conformal Field Theory of Disordered Systems....Pages 163-171
Disordered Dirac Fermions: Three Different Approaches....Pages 173-203
Disordered Quantum Solids....Pages 205-255
Front Matter....Pages 257-257
Model Hamiltonians and First Principles Electronic Structure Calculations....Pages 259-301

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For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Damping of Collective Modes and Quasiparticles in d-Wave Superconductors....Pages 3-21
Front Matter....Pages 23-23
Dynamical Properties of One Dimensional Mott Insulators....Pages 25-46
Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II....Pages 47-88
Ising-Model Description of Quantum Critical Points in 1D Electron and Spin Systems....Pages 89-116
Commensurability, Topology and Luttinger’s Theorem in Quantum Many-Body Systems....Pages 117-137
Front Matter....Pages 139-139
Critical Points in Two-Dimensional Replica Sigma Models....Pages 141-161
Topics in the Conformal Field Theory of Disordered Systems....Pages 163-171
Disordered Dirac Fermions: Three Different Approaches....Pages 173-203
Disordered Quantum Solids....Pages 205-255
Front Matter....Pages 257-257
Model Hamiltonians and First Principles Electronic Structure Calculations....Pages 259-301
....