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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
|
| Schriftenreihe: | World Scientific lecture notes in physics ;
v. 64. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 resource (xii, 205 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 191-198) and index. |
| ISBN: | 9789812798923 9812798927 |
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| 505 | 0 | |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. | |
| 520 | |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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| 650 | 0 | |a Mesoscopic phenomena (Physics) |0 http://id.loc.gov/authorities/subjects/sh91000598 | |
| 650 | 6 | |a Fluctuations (Physique) | |
| 650 | 6 | |a Théorie quantique. | |
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| 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. |
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| id | ZDB-4-EBA-ocn261340062 |
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| indexdate | 2024-11-27T13:16:32Z |
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| language | English |
| oclc_num | 261340062 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 205 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| series | World Scientific lecture notes in physics ; |
| series2 | World Scientific lecture notes in physics ; |
| spelling | Janssen, M. (Martin) https://id.oclc.org/worldcat/entity/E39PCjyMGKq8kCq8887gtWt3gq http://id.loc.gov/authorities/names/n94071118 Fluctuations and localization in mesoscopic electron systems / Martin Janssen. Fluctuations and localization Singapore ; River Edge, N.J. : World Scientific, ©2001. 1 online resource (xii, 205 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in physics ; v. 64 Includes bibliographical references (pages 191-198) and index. Print version record. 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. Fluctuations (Physics) http://id.loc.gov/authorities/subjects/sh85049353 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Mesoscopic phenomena (Physics) http://id.loc.gov/authorities/subjects/sh91000598 Fluctuations (Physique) Théorie quantique. Systèmes mésoscopiques. SCIENCE Physics Condensed Matter. bisacsh Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Física do estado sólido. larpcal has work: Fluctuations and localization in mesoscopic electron systems (Text) https://id.oclc.org/worldcat/entity/E39PCGtywc4gdHWb4VytVvpbMP https://id.oclc.org/worldcat/ontology/hasWork Print version: Janssen, M. (Martin). Fluctuations and localization in mesoscopic electron systems. Singapore ; River Edge, N.J. : World Scientific, ©2001 9810242093 9789810242091 (DLC) 2001275377 (OCoLC)47978870 World Scientific lecture notes in physics ; v. 64. http://id.loc.gov/authorities/names/n84715132 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235923 Volltext |
| spellingShingle | Janssen, M. (Martin) Fluctuations and localization in mesoscopic electron systems / World Scientific lecture notes in physics ; 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. Fluctuations (Physics) http://id.loc.gov/authorities/subjects/sh85049353 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Mesoscopic phenomena (Physics) http://id.loc.gov/authorities/subjects/sh91000598 Fluctuations (Physique) Théorie quantique. Systèmes mésoscopiques. SCIENCE Physics Condensed Matter. bisacsh Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Física do estado sólido. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85049353 http://id.loc.gov/authorities/subjects/sh85109469 http://id.loc.gov/authorities/subjects/sh91000598 |
| 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 | Fluctuations (Physics) http://id.loc.gov/authorities/subjects/sh85049353 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Mesoscopic phenomena (Physics) http://id.loc.gov/authorities/subjects/sh91000598 Fluctuations (Physique) Théorie quantique. Systèmes mésoscopiques. SCIENCE Physics Condensed Matter. bisacsh Fluctuations (Physics) fast Mesoscopic phenomena (Physics) fast Quantum theory fast Física do estado sólido. larpcal |
| topic_facet | Fluctuations (Physics) Quantum theory. Mesoscopic phenomena (Physics) Fluctuations (Physique) Théorie quantique. Systèmes mésoscopiques. SCIENCE Physics Condensed Matter. Quantum theory Física do estado sólido. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235923 |
| work_keys_str_mv | AT janssenm fluctuationsandlocalizationinmesoscopicelectronsystems AT janssenm fluctuationsandlocalization |