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Evidence for a fractionally quantized Hall state with anisotropic longitudinal transport

2011/09/30 by Jing Xia, J. P. Eisenstein, L. N. Pfeiffer +3 · 6 citations
Materials Science · Physics and Astronomy · #Anisotropy #Condensed matter physics #Electrical resistivity and conductivity #Electron #Fermi gas #Fermi liquid theory #Filling factor #Geometry #Hall effect #Isotropy #Landau quantization #Liquid crystal #Magnetic field #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Symmetry (geometry) #Tensor (intrinsic definition) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1038/nphys2118

Nature Physics, (2011)

openalex publication_date 2011/10/23 · arxiv created 2012/08/10 · arxiv updated 2012/08/14 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/06

Abstract

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE) (Das Sarma and Pinczuk, 1997). These liquid phases do not break rotational symmetry, exhibiting resistivities which are isotropic in the plane. In contrast, at lower fields, when the Fermi level lies in the N≥2 third and several higher LLs, the 2DES displays a distinctly different class of collective states. In particular, near half filling of these high LLs the 2DES exhibits a strongly anisotropic longitudinal resistance at low temperatures (Lilly et al., 1999; Du et al., 1999). These "stripe" phases, which do not exhibit the quantized Hall effect, resemble nematic liquid crystals, possessing broken rotational symmetry and orientational order (Koulakov et al., 1996; Fogler et al., 1996; Moessner and Chalker, 1996; Fradkin and Kivelson, 1999; Fradkin et al, 2010). Here we report a surprising new observation: An electronic configuration in the N=1 second LL whose resistivity tensor simultaneously displays a robust fractionally quantized Hall plateau and a strongly anisotropic longitudinal resistance resembling that of the stripe phases.

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