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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Strong fermion interactions in fractional quantum hall states/ by 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

Strong fermion interactions in fractional quantum hall states = correlation 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 ;153..

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

Standard No.: 10.1007/978-3-030-00494-1doiSubjects--Topical Terms:

684539
Fermions.

LC Class. No.: QC793.5.F42 / M853 2018

Dewey Class. No.: 539.721

Strong fermion interactions in fractional quantum hall states = correlation 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.
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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 684539
650 0 $a Correlation (Statistics) $3 560049
650 0 $a Quantum Hall effect. $3 769078
650 1 4 $a Strongly Correlated Systems, Superconductivity. $3 782319
650 2 4 $a Atoms and Molecules in Strong Fields, Laser Matter Interaction. $3 768743
650 2 4 $a Numerical and Computational Physics, Simulation. $3 1112293
650 2 4 $a Mathematical Physics. $3 786661
700 1 $a Quinn, John J. $3 745276
700 1 $a Shattuck, Mark. $3 1210681
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