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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions

Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions

Mulay, Shashikant
Shattuck, Mark
Quinn, John J.

Hardcover

Series: Springer Solid-State Sciences, Book 193

Technology & EngineeringPhysics

ISBN10: 3030004937
ISBN13: 9783030004934
Publisher: Springer
Published: Nov 12 2018
Pages: 156
Weight: 0.92
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
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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