The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems
Abstract
At the filling factor =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
Cite
@article{arxiv.1207.0003,
title = {The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems},
author = {Y. Hama and Y. Hidaka and G. Tsitsishvili and Z. F. Ezawa},
journal= {arXiv preprint arXiv:1207.0003},
year = {2013}
}
Comments
13 pages, no figures. One reference is added. Typos corrected