Selected topics in solid state

Syllabus

Topics

Phenomenology: phase transitions and universality         Models: ising, Heisenberg, and more         Mean field theory and Landau-Ginzburg theory         Ising model in one dimension         Real space renormalization group         Renormalization group and field theory         Disorder, the Harris criterion, replica symmetry breaking         Quantum phase transitions         Superconductivity, vortices and the Kosterlitz-Thouless transition         The Kondo effect

Sources

There is no one main textbook in the course. Some of the books, which are relevant to the course are listed bellow. 

• Goldenfeld - Lectures on Phase Transitions and the Renormalization Group
• Herbut - A modern Approach to Critical Phenomena
• Ma - Modern Theory of Critical Phenomena 
• Kardar - Statistical Physics of Fields
• Binney, Dowrick, Fisher and Newman - The Theory of Critical Phenomena: An Introduction to the Renormalization Group
• Menon - Renormalization Group Theory of Critical Phenomena
• Amit - Field Theory, the Renormalization Group and Critical Phenomena
• Stanley - Introduction to Phase Transitions and Critical Phenomena

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