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Strong Fermion Interactions in Fractional Quantum Hall States - Correlation Functions (Hardcover, 1st ed. 2018)
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Strong Fermion Interactions in Fractional Quantum Hall States - Correlation Functions (Hardcover, 1st ed. 2018)
Series: Springer Series in Solid-State Sciences, 193
Expected to ship within 10 - 15 working days
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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.
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