Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems

Bartosz Kuśmierz and Arkadiusz Wójs
Phys. Rev. B 97, 245125 – Published 15 June 2018

Abstract

The family of “Jack states” related to antisymmetric Jack polynomials are the exact zero-energy ground states of particular model short-range many-body repulsive interactions, defined by a few nonvanishing leading pseudopotentials. Some Jack states are known or anticipated to accurately describe many-electron incompressible ground states emergent from the two-body Coulomb repulsion in the fractional quantum Hall effect. By extensive numerical diagonalization, we demonstrate the emergence of Jack states from suitable pair interactions. We find empirically a simple formula for the optimal two-body pseudopotentials for the series of most prominent Jack states generated by contact many-body repulsion. Furthermore, we seek a realization of arbitrary Jack states in realistic quantum Hall systems with Coulomb interaction, i.e., in the partially filled lowest and excited Landau levels in quasi-two-dimensional layers of conventional semiconductors such as GaAs or in graphene.

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  • Received 19 February 2018

DOI:https://doi.org/10.1103/PhysRevB.97.245125

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Bartosz Kuśmierz and Arkadiusz Wójs

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

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Issue

Vol. 97, Iss. 24 — 15 June 2018

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