ENGLISH

Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions

By John J. Quinn , Shashikant Mulay , Mark Shattuck

Book information

Publisher
Springer International Publishing
Year
2018
ISBN
978-3-030-00493-4, 978-3-030-00494-1
Language
english
Format
PDF
Filesize
3 MB (3321239 bytes)
Series
Springer Series in Solid-State Sciences 193
Edition
1st ed.
Pages
XII, 156\164
Time added
2019-01-12 07:31:04
Laser Matter Interaction; Numerical and ComputatioPhysics; Strongly Correlated SystemsSimulation; Mathematical PhysicsSuperconductivity; Atoms and Molecules in Strong F

Description

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. Front Matter ....Pages i-xii Fermion Correlations (Shashikant Mulay, John J. Quinn, Mark Shattuck)....Pages 1-25 Correlation Functions (Shashikant Mulay, John J. Quinn, Mark Shattuck)....Pages 27-135 Back Matter ....Pages 137-156

Similar books