Evidence for a fractional quantum Hall state with anisotropic longitudinal transport

Details Evidence for a fractional quantum Hall state with anisotropic longitudinal transport Evidence for a fractional quantum Hall state with anisotropic longitudinal transport

2011-09-14

arxiv.org/abs/1109.3219v2

Physics

Condensed Matter

Strongly Correlated Electrons

originally submitted version (May 17, 2011)

Scientific paper

10.1038/NPHYS2118

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) \cite{perspectives}. 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 $N\ge2$ 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 \cite{Lilly99a,Du99}. These "stripe" phases, which do not exhibit the quantized Hall effect, resemble nematic liquid crystals, possessing broken rotational symmetry and orientational order \cite{KFS,FKS,MC,FK,AR}. Here we report a surprising new observation: An electronic configuration in the N=1 second LL whose resistivity tensor {\it simultaneously} displays a robust fractionally quantized Hall plateau and a strongly anisotropic longitudinal resistance resembling that of the stripe phases.

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