Strong Fermion Interactions in Fractional Quantum Hall States
Mulay, Shashikant, Quinn, John J., Shattuck, Mark
Produktnummer:
182e0b8de9cc324c01a6554a14f7ef419a
| Autor: | Mulay, Shashikant Quinn, John J. Shattuck, Mark |
|---|---|
| Themengebiete: | Algebraic Approach to Fermion Correlations Applications of Invariant Theory in Quantum Physics Composite Fermion Excitations Fermion Correlations Fractional Quantum Hall Effect Generalized Laughlin Typ Correlations Incompressible Quantum Liquid States Strongly Interacting Systems of Fermions Symmetric Correlation Functions Trial Wave Functions |
| Veröffentlichungsdatum: | 10.12.2019 |
| EAN: | 9783030131180 |
| Sprache: | Englisch |
| Seitenzahl: | 156 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | Correlation Functions |
Produktinformationen "Strong Fermion Interactions in Fractional Quantum Hall States"
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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