Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-10-15
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
latex file 16 pages 8 figures, to appear in Reviews of Modern Physics
Scientific paper
10.1103/RevModPhys.80.379
Quantum dots pose a problem where one must confront three obstacles: randomness, interactions and finite size. Yet it is this confluence that allows one to make some theoretical advances by invoking three theoretical tools: Random Matrix theory (RMT), the Renormalization Group (RG) and the 1/N expansion. Here the reader is introduced to these techniques and shown how they may be combined to answer a set of questions pertaining to quantum dots
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