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The study of Goldstone modes in ν = 2 bilayer quantum Hall systems

  • Y. HamaEmail author
  • Y. Hidaka
  • G. Tsitsishvili
  • Z.F. Ezawa
Regular Article

Abstract.

At the filling factor ν = 2, the bilayer quantum Hall system has three phases, the spin-ferromagnet phase, the spin singlet phase and the canted antiferromagnet (CAF) phase, depending on the relative strength between the Zeeman energy and interlayer tunneling energy. We present a systematic method to derive the effective Hamiltonian for the Goldstone modes in these three phases. We then investigate the dispersion relations and the coherence lengths of the Goldstone modes. To explore a possible emergence of the interlayer phase coherence, we analyze the dispersion relations in the zero tunneling energy limit. We find one gapless mode with the linear dispersion relation in the CAF phase.

Keywords

Mesoscopic and Nanoscale Systems 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Y. Hama
    • 1
    • 2
    Email author
  • Y. Hidaka
    • 2
  • G. Tsitsishvili
    • 3
  • Z.F. Ezawa
    • 4
  1. 1.Department of PhysicsThe University of TokyoTokyoJapan
  2. 2.Theoretical Research Division, Nishina Center, RIKENWakoJapan
  3. 3.Department of PhysicsTbilisi State UniversityTbilisiGeorgia
  4. 4.Advanced Meson Science Laborary, Nishina Center, RIKENWakoJapan

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