Fluctuations and localization in mesoscopic electron systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2001
|
| Schriftenreihe: | World Scientific lecture notes in physics
v. 64 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 191-198) and index 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 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 holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales. Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments |
| Beschreibung: | 1 Online-Ressource (xii, 205 p.) |
| ISBN: | 9789810242091 9789812798923 9810242093 9812798927 |
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| 500 | |a Includes bibliographical references (p. 191-198) and index | ||
| 500 | |a 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 | ||
| 500 | |a 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 holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales. Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments | ||
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Datensatz im Suchindex
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| author_variant | m m j mm mmj |
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| indexdate | 2024-07-10T07:16:47Z |
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| isbn | 9789810242091 9789812798923 9810242093 9812798927 |
| language | English |
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| spelling | Janssen, M., (Martin) Verfasser aut Fluctuations and localization in mesoscopic electron systems Martin Janssen Fluctuations and localization Singapore World Scientific c2001 1 Online-Ressource (xii, 205 p.) txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics v. 64 Includes bibliographical references (p. 191-198) and index 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 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 holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales. Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments SCIENCE / Physics / Condensed Matter bisacsh Física do estado sólido larpcal Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Quantentheorie Fluctuations (Physics) Quantum theory Mesoscopic phenomena (Physics) Anderson-Umwandlung (DE-588)4264328-4 gnd rswk-swf Anderson-Umwandlung (DE-588)4264328-4 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235923 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Janssen, M., (Martin) Fluctuations and localization in mesoscopic electron systems SCIENCE / Physics / Condensed Matter bisacsh Física do estado sólido larpcal Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Quantentheorie Fluctuations (Physics) Quantum theory Mesoscopic phenomena (Physics) Anderson-Umwandlung (DE-588)4264328-4 gnd |
| subject_GND | (DE-588)4264328-4 |
| title | Fluctuations and localization in mesoscopic electron systems |
| title_alt | Fluctuations and localization |
| title_auth | Fluctuations and localization in mesoscopic electron systems |
| title_exact_search | Fluctuations and localization in mesoscopic electron systems |
| title_full | Fluctuations and localization in mesoscopic electron systems Martin Janssen |
| title_fullStr | Fluctuations and localization in mesoscopic electron systems Martin Janssen |
| title_full_unstemmed | Fluctuations and localization in mesoscopic electron systems Martin Janssen |
| title_short | Fluctuations and localization in mesoscopic electron systems |
| title_sort | fluctuations and localization in mesoscopic electron systems |
| topic | SCIENCE / Physics / Condensed Matter bisacsh Física do estado sólido larpcal Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Quantentheorie Fluctuations (Physics) Quantum theory Mesoscopic phenomena (Physics) Anderson-Umwandlung (DE-588)4264328-4 gnd |
| topic_facet | SCIENCE / Physics / Condensed Matter Física do estado sólido Fluctuations (Physics) Mesoscopic phenomena (Physics) Quantum theory Quantentheorie Anderson-Umwandlung |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235923 |
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