Quantum Electron Liquids and High-T c Superconductivity
González, José.
Quantum Electron Liquids and High-T c Superconductivity [electronic resource] / by José González, Miguel A. Martín-Delgado, Germán Sierra, Angeles H. Vozmediano. - X, 302 p. 3 illus. online resource. - Lecture Notes in Physics Monographs, 38 0940-7677 ; . - Lecture Notes in Physics Monographs, 38 .
I -- Fermi Liquid in D ? 2 -- Effective Actions and the Renormalization Group -- II -- Electronic Systems in d = 1 -- Bosonization. Luttinger Liquid -- Correspondence from Discrete to Continuum Models -- III -- From the Cuprate Compounds to the Hubbard Model -- The Mott Transition and the Hubbard Model -- Strong Coupling Limit and Some Exact Results -- Resonating Valence Bond States and High-T c Superconductivity -- The Hubbard Model at D = 1 -- New and Old Real-Space Renormalization Group Methods for Quantum Lattice Hamiltonians.
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.
9783540476788
10.1007/978-3-540-47678-8 doi
Mathematical physics.
Thermodynamics.
Statistical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Thermodynamics.
Complex Systems.
Strongly Correlated Systems, Superconductivity.
Statistical Physics and Dynamical Systems.
QC5.53
530.15
Quantum Electron Liquids and High-T c Superconductivity [electronic resource] / by José González, Miguel A. Martín-Delgado, Germán Sierra, Angeles H. Vozmediano. - X, 302 p. 3 illus. online resource. - Lecture Notes in Physics Monographs, 38 0940-7677 ; . - Lecture Notes in Physics Monographs, 38 .
I -- Fermi Liquid in D ? 2 -- Effective Actions and the Renormalization Group -- II -- Electronic Systems in d = 1 -- Bosonization. Luttinger Liquid -- Correspondence from Discrete to Continuum Models -- III -- From the Cuprate Compounds to the Hubbard Model -- The Mott Transition and the Hubbard Model -- Strong Coupling Limit and Some Exact Results -- Resonating Valence Bond States and High-T c Superconductivity -- The Hubbard Model at D = 1 -- New and Old Real-Space Renormalization Group Methods for Quantum Lattice Hamiltonians.
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.
9783540476788
10.1007/978-3-540-47678-8 doi
Mathematical physics.
Thermodynamics.
Statistical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Thermodynamics.
Complex Systems.
Strongly Correlated Systems, Superconductivity.
Statistical Physics and Dynamical Systems.
QC5.53
530.15