Ising Ferromagnetism of Composite Fermions

• Authors: K. Výborný , O. Čertík , D. Pfannkuche , D. Wodziński , A. Wójs , J. Quinn
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

73.43.-f; 71.10.Pm; 75.10.Jm

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)
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 3
• Pages: 409-415

Dates

published

2006-09

received

2006-06-17

Contributors

author

K. Výborný

• Institute of Physics, ASCR, Cukrovarnická 10, 16253 Prague 6, Czech Republic
• Institut für Theoretische Physik, Universitüt Hamburg, Jungiusstrasse 9, 20355 Hamburg, Germany

author

O. Čertík

• Institute of Physics, ASCR, Cukrovarnická 10, 16253 Prague 6, Czech Republic

author

D. Pfannkuche

• Institut für Theoretische Physik, Universitüt Hamburg, Jungiusstrasse 9, 20355 Hamburg, Germany

author

D. Wodziński

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
• Department of Physics, University of Tennessee, Knoxville, TN 37996, USA

author

A. Wójs

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
• Department of Physics, University of Tennessee, Knoxville, TN 37996, USA

author

J. Quinn

• Department of Physics, University of Tennessee, Knoxville, TN 37996, USA

References

• 1. J.K. Jain, Phys. Rev. Lett., 63, 199, 89; Science, 266, 1199, 94
• 2. I.V. Kukushkin, K. Klitzing, K. Eberl, Phys. Rev. Lett., 82, 3665, 99
• 3. V.M. Apalkov, T. Chakraborty, P. Pietilainen, K. Niemela, Phys. Rev. Lett., 86, 1311, 01
• 4. T. Jungwirth, A.H. MacDonald, Phys. Rev. B, 63, 035305, 00
• 5. K. Výborný, PhD thesis, Universitat Hamburg, Hamburg 2005, www.sub.uni-hamburg.de/opus/volltexte/2005/2553
• 6. T. Chakraborty, P. Pietilainen, The Quantum Hall Effects, Springer, Berlin 1995
• 7. A. Wójs, D. Wodziński, J.J. Quinn, Phys. Rev. B, 71, 245331, 05
• 8. N. Shibata, D. Yoshioka, Phys. Rev. Lett., 86, 5755, 01
• 9. E.H. Rezayi, T. Jungwirth, A.H. MacDonald, F.D.M. Haldane, Phys. Rev. B, 67, 201305(R), 03

Identifiers

DOI

10.12693/APhysPolA.110.409