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

At the filling factor v = 2, the bilayer quantum Hall system has three phases, the spinferromagnet 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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2012-11, Vol.85 (11)
Main Authors: Hama, Y, Hidaka, Y, Tsitsishvili, G, Ezawa, Z.F
Format: Article
Language:English
Online Access:Get full text
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Summary:At the filling factor v = 2, the bilayer quantum Hall system has three phases, the spinferromagnet 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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2012-30559-2