Jack Polynomials and Fractional Quantum Hall Effect at ν = 1/3
B. Kuśmierz and A. Wójs
Department of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
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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.

DOI: 10.12693/APhysPolA.130.607
PACS numbers: 73.43.-f, 71.10.Pm