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Strong fermion interactions in fract...
~
Mulay, Shashikant.
Strong fermion interactions in fractional quantum hall statescorrelation functions /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Strong fermion interactions in fractional quantum hall statesby Shashikant Mulay, John J. Quinn, Mark Shattuck.
其他題名:
correlation functions /
作者:
Mulay, Shashikant.
其他作者:
Quinn, John J.
出版者:
Cham :Springer International Publishing :2018.
面頁冊數:
xii, 156 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
標題:
Fermions.
電子資源:
https://doi.org/10.1007/978-3-030-00494-1
ISBN:
9783030004941$q(electronic bk.)
Strong fermion interactions in fractional quantum hall statescorrelation functions /
Mulay, Shashikant.
Strong fermion interactions in fractional quantum hall states
correlation functions /[electronic resource] :by Shashikant Mulay, John J. Quinn, Mark Shattuck. - Cham :Springer International Publishing :2018. - xii, 156 p. :ill., digital ;24 cm. - Springer series in solid-state sciences,v.1930171-1873 ;. - Springer series in solid-state sciences ;159..
Introduction to Quantum Hall States -- The Composite Fermion Hierarchy and Justification of the CF Approach -- Correlation Diagrams and the Algebra of Correlation Functions -- Invariant-Theoretic Essentials -- Constructions of Correlation Diagrams and Their Correlation Functions -- Trial Wave Functions for Systems of Fermions in IQL State -- Correlation Functions for Some Configurations with Quasi-Electrons and Related Open Questions.
This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin's approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions. The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.
ISBN: 9783030004941$q(electronic bk.)
Standard No.: 10.1007/978-3-030-00494-1doiSubjects--Topical Terms:
219661
Fermions.
LC Class. No.: QC793.5.F42 / M853 2018
Dewey Class. No.: 539.721
Strong fermion interactions in fractional quantum hall statescorrelation functions /
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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.
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