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Strong fermion interactions in fract...

Mulay, Shashikant.

Strong fermion interactions in fractional quantum hall statescorrelation functions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Strong fermion interactions in fractional quantum hall statesby Shashikant Mulay, John J. Quinn, Mark Shattuck.
Reminder of title:	correlation functions /
Author:	Mulay, Shashikant.
other author:	Quinn, John J.
Published:	Cham :Springer International Publishing :2018.
Description:	xii, 156 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fermions.
Online resource:	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 statescorrelation 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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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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xii, 156 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in solid-state sciences, $x 0171-1873 ; $v 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 Fermions. $3 219661
650 0 $a Correlation (Statistics) $3 230080
650 0 $a Quantum Hall effect. $3 204393
650 1 4 $a Strongly Correlated Systems, Superconductivity. $3 456352
650 2 4 $a Atoms and Molecules in Strong Fields, Laser Matter Interaction. $3 376277
650 2 4 $a Numerical and Computational Physics, Simulation. $3 758154
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Quinn, John J. $3 484206
700 1 $a Shattuck, Mark. $3 825022
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Springer series in solid-state sciences ; $v 159. $3 513700
856 4 0 $u https://doi.org/10.1007/978-3-030-00494-1
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