Strong Fermion Interactions in Fractional Quantum Hall States Correlation Functions /

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invari...

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Κύριοι συγγραφείς: Mulay, Shashikant (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Quinn, John J. (http://id.loc.gov/vocabulary/relators/aut), Shattuck, Mark (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Springer Series in Solid-State Sciences, 193
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Strong Fermion Interactions in Fractional Quantum Hall States  |h [electronic resource] :  |b Correlation Functions /  |c by Shashikant Mulay, John J. Quinn, Mark Shattuck. 
250 |a 1st ed. 2018. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2018. 
300 |a XII, 156 p. 50 illus., 21 illus. in color.  |b online resource. 
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490 1 |a Springer Series in Solid-State Sciences,  |x 0171-1873 ;  |v 193 
505 0 |a Introduction to Quantum Hall States -- The Composite Fermion Hierarchy and Justification of the CF Approach -- Correlation Diagrams and the Algebra of Correlation Functions -- Invariant-Theoretic Essentials -- Constructions of Correlation Diagrams and Their Correlation Functions -- Trial Wave Functions for Systems of Fermions in IQL State -- Correlation Functions for Some Configurations with Quasi-Electrons and Related Open Questions. 
520 |a This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin's approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions. The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research. 
650 0 |a Superconductivity. 
650 0 |a Superconductors. 
650 0 |a Atoms. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 1 4 |a Strongly Correlated Systems, Superconductivity.  |0 http://scigraph.springernature.com/things/product-market-codes/P25064 
650 2 4 |a Atoms and Molecules in Strong Fields, Laser Matter Interaction.  |0 http://scigraph.springernature.com/things/product-market-codes/P24025 
650 2 4 |a Numerical and Computational Physics, Simulation.  |0 http://scigraph.springernature.com/things/product-market-codes/P19021 
650 2 4 |a Mathematical Physics.  |0 http://scigraph.springernature.com/things/product-market-codes/M35000 
700 1 |a Quinn, John J.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Shattuck, Mark.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Springer Series in Solid-State Sciences,  |x 0171-1873 ;  |v 193 
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950 |a Physics and Astronomy (Springer-11651)