Fluctuations and localization in mesoscopic electron systems /
The quantum phenomena of tunneling and interference show up not only in the microscopic world of atoms and molecules, but also in cold materials of the real world, such as metals and semiconductors. Though not fully macroscopic, such mesoscopic systems contain a huge number of particles, and the hol...
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| Format: | Book |
| Language: | English |
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Singapore ; River Edge, N.J. :
World Scientific,
©2001
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| Series: | World Scientific lecture notes in physics ;
v. 64 |
| Subjects: |
Table of Contents:
- Ch. 1. Introduction
- ch. 2. Experimental facts. 2.1. Aharonov-Bohm effect. 2.2. Conductance fluctuations. 2.3. Localization. 2.4. Quantum Hall effects. 2.5. Quantum dots
- ch. 3. Basic theoretical models and tools. 3.1. Relevant scales and observables. 3.2. The independent electron approximation. 3.3. Model Hamiltonian and Green's function. 3.4. Disorder diagrams and field theory. 3.5. Scattering matrix modeling. 3.6. Fokker-Planck equations
- ch. 4. Idealized systems. 4.1. Localized systems. 4.2. Delocalized systems. 4.3. Random matrices and symmetry
- ch. 5. Towards realistic systems. 5.1. Concept of scaling. 5.2. Distributions and typical values. 5.3. Corrections at finite conductances. 5.4. Quasi-one-dimensional systems
- ch. 6. The localization-delocalization transition. 6.1. Finite size scaling. 6.2. Real-space renormalization. 6.3. Multifractality of critical states. 6.4. Point-contact conductance. 6.5. Order parameter and scaling variable