Strong Fermion Interactions in Fractional Quantum Hall States

Correlation Functions

  • Shashikant Mulay
  • John J. Quinn
  • Mark Shattuck

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 193)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Shashikant Mulay, John J. Quinn, Mark Shattuck
    Pages 1-25
  3. Shashikant Mulay, John J. Quinn, Mark Shattuck
    Pages 27-135
  4. Back Matter
    Pages 137-156

About this book


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.


Fractional Quantum Hall Effect Fermion Correlations Generalized Laughlin Typ Correlations Trial Wave Functions Strongly Interacting Systems of Fermions Incompressible Quantum Liquid States Composite Fermion Excitations Algebraic Approach to Fermion Correlations Symmetric Correlation Functions Applications of Invariant Theory in Quantum Physics

Authors and affiliations

  • Shashikant Mulay
    • 1
  • John J. Quinn
    • 2
  • Mark Shattuck
    • 3
  1. 1.Department of MathematicsUniversity of TennesseeKnoxvilleUSA
  2. 2.deceasedKnoxvilleUSA
  3. 3.Department of MathematicsUniversity of TennesseeKnoxvilleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-00493-4
  • Online ISBN 978-3-030-00494-1
  • Series Print ISSN 0171-1873
  • Series Online ISSN 2197-4179
  • Buy this book on publisher's site