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

2012/07/31 by Y. Hama, Y. Hidaka, G. Tsitsishvili +2 · 2 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1140/epjb/e2012-30559-2

published as Eur. Phys. J. B (2012) 85: 368 · 13 pages, no figures. One reference is added. Typos corrected

openalex publication_date 2012/11/01 · arxiv created 2013/01/31 · arxiv updated 2013/02/04 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

Citations

• Spin Bose-Glass Phase in Bilayer Quantum Hall Systems atν<mml:mspace/>=<mml:mspace/>2
• Canted antiferromagnetic and spin-singlet quantum Hall states in double-layer systems
• SU(4)skyrmions and activation energy anomaly in bilayer quantum Hall systems
• Structure of Phenomenological Lagrangians. I
• Structure of Phenomenological Lagrangians. II

Cited by

• Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system
• Spin supercurrent in the canted antiferromagnetic phase