Strong Fermion Interactions in Fractional Quantum Hall States
Correlation Functions
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Beschreibung
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.
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.
Provides a coherent and systematic account of the authors’ important contributions to understanding strongly interacting fermions in fractional quantum Hall states Is closely related to the research for which Haldane was awarded the Nobel Prize recently and Laughlin many years ago Sheds light on the amazing phenomenon of FQHE (fractional quantum Hall effect) and correlated electrons in general
Autor*in
Shashikant Mulay
Themen in »Strong Fermion Interactions in Fractional Quantum Hall States«
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
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“This book is particularly useful to researchers who are interested in this diagrammatic approach, and could also be a useful reference for readers with an interest in the FQH effect.” (Hong-Hao Tu, zbMATH 1414.81010, 2019)
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