Jack Polynomials and Fractional Quantum Hall Effect at ν = 1/3

• Authors: B. Kuśmierz , A. Wójs
• Languages of publication: EN

Abstracts

EN

We investigate properties of strongly correlated, spinless electrons confined within given Landau level at filling factor ν = 1/3. Our analysis is based on the formalism of the Jack polynomials. Selected Jack polynomial wave functions are compared with ground states of the Coulomb interaction Hamiltonians, in different materials and the Landau levels, obtained by exact diagonalization. We show that certain Jack wave functions can be used as a description of fractional quantum Hall states.

Keywords

EN

73.43.-f; 71.10.Pm

Discipline

• 73.43.-f: Quantum Hall effects
• 71.10.Pm: Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)(for anyon mechanism in superconductors, see 74.20.Mn)

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 2
• Pages: 607-608

Dates

published

2016-08

Contributors

author

B. Kuśmierz

• Department of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

A. Wójs

• Department of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

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Identifiers

DOI

10.12693/APhysPolA.130.607