Ising Ferromagnetism of Composite Fermions

K. Výbornýa, b, O. Čertíka, D. Pfannkucheb, D. Wodzińskic, d, A. Wójsc, d and J.J. Quinnd aInstitute of Physics, ASCR, Cukrovarnická 10, 16253 Prague 6, Czech Republic bInstitut für Theoretische Physik, Universitüt Hamburg, Jungiusstrasse 9, 20355 Hamburg, Germany cInstitute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland dDepartment of Physics, University of Tennessee, Knoxville, TN 37996, USA

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Received: 17 06 2006;

The quantum Hall ferromagnets at the half-filling of a pair of degenerate electron or composite fermion Landau levels are studied by exact numerical diagonalization. The results obtained using open and closed geometries (rectangular - with periodic boundary conditions and spherical) are compared. The ferro- and paramagnetic ground states are identified in finite-size energy spectra, and the pair-correlation functions are used in search of the domain structure at half-polarization.

DOI: 10.12693/APhysPolA.110.409 PACS numbers: 73.43.-f, 71.10.Pm, 75.10.Jm