https://doi.org/10.1140/epjb/e2012-30559-2
Regular Article
The study of Goldstone modes in ν = 2 bilayer quantum Hall systems
1 Department of Physics, The University of Tokyo, 113-0033 Tokyo, Japan
2 Theoretical Research Division, Nishina Center, RIKEN, 351-0198 Wako, Japan
3 Department of Physics, Tbilisi State University, 0128 Tbilisi, Georgia
4 Advanced Meson Science Laborary, Nishina Center, RIKEN, 351-0198 Wako, Japan
a
e-mail: hama@nt.phys.s.u-tokyo.ac.jp
Received: 6 July 2012
Received in final form: 17 August 2012
Published online: 14 November 2012
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.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012
