Integral and fractional quantum Hall Ising ferromagnets

Karel Výborný, Ondřej Čertík, Daniela Pfannkuche, Daniel Wodziński, Arkadiusz Wójs, and John J. Quinn
Phys. Rev. B 75, 045434 – Published 29 January 2007

Abstract

We compare quantum Hall systems at filling factors ν=2 to ν=23 and 25, corresponding to the exact filling of two lowest electron or composite fermion (CF) Landau levels. The two fractional states are examples of CF liquids with spin dynamics. There is a close analogy between the ferromagnetic (spin polarization P=1) and paramagnetic (P=0) incompressible ground states that occur in all three systems in the limits of large and small Zeeman spin splitting. However, the excitation spectra are different. At ν=2, we find spin domains at half-polarization (P=12), while antiferromagnetic order seems most favorable in the CF systems. The transition between P=0 and 1, as seen when, e.g., the magnetic field is tilted, is also studied by exact diagonalization in toroidal and spherical geometries. The essential role of an effective CF-CF interaction is discussed, and the experimentally observed incompressible half-polarized state is found in some models.

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  • Received 1 October 2006

DOI:https://doi.org/10.1103/PhysRevB.75.045434

©2007 American Physical Society

Authors & Affiliations

Karel Výborný1,2, Ondřej Čertík1, Daniela Pfannkuche2, Daniel Wodziński3,4, Arkadiusz Wójs3,4, and John J. Quinn4

  • 1Fyzikální ústav Akademie věd ČR Cukrovarnická 10, 162 53 Praha 6, Czech Republic
  • 2I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstrasse 9, 20355 Hamburg, Germany
  • 3Politechnika Wrocławska, Wybrzeże Wyspiańskiego 27, 50–370 Wrocław, Poland
  • 4Department of Physics, University of Tennessee, Knoxville, Tennessee 37996, USA

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Issue

Vol. 75, Iss. 4 — 15 January 2007

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