Quantum Impurity Problems in Condensed Matter Physics

Details Quantum Impurity Problems in Condensed Matter Physics Quantum Impurity Problems in Condensed Matter Physics

2008-09-20

arxiv.org/abs/0809.3474v2

Physics

Condensed Matter

Strongly Correlated Electrons

Lecture Notes, Les Houches, 2008, 44 pages. Typos fixed and a new reference

Scientific paper

Impurities are ubiquitous in condensed matter. Boundary Conformal Field Theory (BCFT) provides a powerful method to study a localized quantum impurity interacting with a gapless continuum of excitations. The results can also be implied to nanoscopic devices like quantum dots. In these lecture notes, I review this field, including the following topics: I. General Renormalization Group (RG) framework for quantum impurity problems: example of simplest Kondo model II. Multi-channel Kondo model III. Quantum Dots: experimental realizations of one and two channel Kondo models IV. Impurities in Luttinger liquids: point contact in a quantum wire V. Quantum impurity entanglement entropy VI. Y-junctions of Luttinger liquids VII. Boundary condition changing operators and the X-ray edge problem.

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