An experimental study on $Γ$(2) modular symmetry in the quantum Hall system with a small spin-splitting

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dc.creatorHuang, C. F.
dc.creatorChang, Y. H.
dc.creatorCheng, H. H.
dc.creatorYang, Z. P.
dc.creatorYeh, H. D.
dc.creatorHsu, C. H.
dc.creatorLiang, C. -T.
dc.creatorHang, D. R.
dc.creatorLin, H. H.
dc.date2006-09-13
dc.date2006-12-26
dc.date.accessioned2026-07-07T07:37:06Z
dc.date.available2026-07-07T07:37:06Z
dc.descriptionMagnetic-field-induced phase transitions were studied with a two-dimensional electron AlGaAs/GaAs system. The temperature-driven flow diagram shows the features of the $Γ$(2) modular symmetry, which includes distorted flowlines and shiftted critical point. The deviation of the critical conductivities is attributed to a small but resolved spin splitting, which reduces the symmetry in Landau quantization. [B. P. Dolan, Phys. Rev. B 62, 10278.] Universal scaling is found under the reduction of the modular symmetry. It is also shown that the Hall conductivity could still be governed by the scaling law when the semicircle law and the scaling on the longitudinal conductivity are invalid. *corresponding author:yhchang@phys.ntu.edu.tw
dc.descriptionThe revised manuscript has been published in J. Phys.: Condens. Matter
dc.identifierhttps://arxiv.org/abs/cond-mat/0609310
dc.identifierhttp://arxiv.org/abs/cond-mat/0609310
dc.identifierJournal of Physics: Condensed Matter 19, 026205 (2007)
dc.identifierdoi:10.1088/0953-8984/19/2/026205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120659
dc.subjectMesoscale and Nanoscale Physics
dc.titleAn experimental study on $Γ$(2) modular symmetry in the quantum Hall system with a small spin-splitting
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