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Record Nr. |
UNINA9910816078403321 |
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Titolo |
Application of braid groups in 2d hall system physics : composite fermion structure / / Janusz Jacak ... [et al.] |
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Pubbl/distr/stampa |
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Singapore, : World Scientific, 2012 |
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ISBN |
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1-299-28107-9 |
981-4412-03-1 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (160 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Electrodynamics |
Quantum theory |
Topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical reference (p. 135-144) and index. |
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Nota di contenuto |
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Acknowledgments; Preface; Contents; 1. Introduction; 2. Elements of Hall system physics in 2D spaces; 2.1 Laughlin function; 2.2 Composite fermions; 2.2.1 Composite fermions in Jain's model; 2.2.2 Composite fermions in Read's model; 2.2.3 Local gauge transformations corresponding to Jain's flux tubes and Read's vortices in the structure of composite fermions; 3. Topological methods for the description of many particle systems at various manifolds; 3.1 Braid groups; 3.1.1 Full braid groups for R3, R2, sphere S2 and torus T; 3.1.2 Pure braid group |
3.2 Feynman integrals over trajectories and the relation with the one-dimensional unitary representations of the full braid group 3.3 Bosons, fermions, anyons and composite particles; 3.3.1 Anyons on the plane, sphere and torus; 3.3.2 Quantum statistics and braid groups; 3.4 Multidimensional unitary irreducible representations of braid groups; 4. Cyclotron braids for multi-particle-charged 2D systems in a strong magnetic field; 4.1 Insufficient length of cyclotron radii in 2D systems in a strong magnetic field; 4.2 Definition of the cyclotron braid subgroup and its unitary representations |
4.3 Multi-loop trajectories-the response of the system to cyclotron trajectories that are too short 4.4 Cyclotron structure of composite fermions; 4.5 The role of the Coulomb interaction; 4.6 Composite fermions in terms of cyclotron groups; 4.7 Hall metal in the description |
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