Format:
Online-Ressource (XII, 156 p. 50 illus., 21 illus. in color, online resource)
Edition:
Springer eBook Collection. Physics and Astronomy
ISBN:
9783030004941
Series Statement:
Springer Series in Solid-State Sciences 193
Content:
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
Content:
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
Additional Edition:
ISBN 9783030004934
Additional Edition:
ISBN 9783030004958
Additional Edition:
Erscheint auch als Druck-Ausgabe Mulay, Shashikant Strong Fermion interactions in fractional quantum hall states Cham, Switzerland : Springer, 2018 ISBN 9783030004934
Additional Edition:
ISBN 3030004937
Additional Edition:
Printed edition ISBN 9783030004934
Additional Edition:
Printed edition ISBN 9783030004958
Language:
English
Subjects:
Physics
Keywords:
Fermionensystem
;
Starke Wechselwirkung
;
Fraktionierter Quanten-Hall-Effekt
DOI:
10.1007/978-3-030-00494-1
Author information:
Quinn, John J. 1933-
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