$Strong fermion interactions in fractional quantum hall states : correlation functions /$

Strong fermion interactions in fractional quantum hall states : correlation functions /

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Bibliographic Details
Author / Creator:	Mulay, Shashikant, author.
Imprint:	Cham, Switzerland : Springer, [2018] ©2018
Description:	1 online resource
Language:	English
Series:	Springer series in solid-state sciences ; Volume 193 Springer series in solid-state sciences ; 193.
Subject:	Fermions. Correlation (Statistics) Quantum Hall effect. Correlation (Statistics) Fermions. Quantum Hall effect.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11718584

Hidden Bibliographic Details
Other authors / contributors:	Quinn, John J. (John Joseph), 1933- author. Shattuck, Mark, author.
ISBN:	9783030004941 3030004945 9783030004934 3030004937 9783030004958 3030004953
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (EBSCO, viewed October 31, 2018).
Summary:	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.
Other form:	Print version: Mulay, Shashikant. Strong fermion interactions in fractional quantum hall states. Cham, Switzerland : Springer, [2018] 3030004937 9783030004934
Standard no.:	10.1007/978-3-030-00494-1

Description
Summary:	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. <br>
Physical Description:	1 online resource
Bibliography:	Includes bibliographical references and index.
ISBN:	9783030004941 3030004945 9783030004934 3030004937 9783030004958 3030004953