Strong Fermion Interactions in Fractional Quantum Hall States Correlation Functions /

• Main Authors: Mulay, Shashikant (Author, http://id.loc.gov/vocabulary/relators/aut), Quinn, John J. (http://id.loc.gov/vocabulary/relators/aut), Shattuck, Mark (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Series in Solid-State Sciences, 193
• Subjects: Superconductivity.; Superconductors.; Atoms.; Physics.; Mathematical physics.; Strongly Correlated Systems, Superconductivity.; Atoms and Molecules in Strong Fields, Laser Matter Interaction.; Numerical and Computational Physics, Simulation.; Mathematical Physics.

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-invari...

Table of Contents:

• 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.