Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$

Abstract

We study the phase diagram of ${\nu }_e=7/3$ state in the $N=1$ Landau level in the presence of band mass anisotropy. Using density matrix renormalization group on an infinite cylinder geometry, we find a continuous transition from the topologically ordered Laughlin fractional quantum Hall state to a stripe phase with a period of approximately five and a half magnetic lengths. The transition is driven by the condensation of the magnetoroton mode which becomes gapless at the critical point. We interpret the transition within the composite-boson theory as the onset of stripe order in a superfluid background, resulting from the roton mode going soft.

8 pages, 2 figures: Published version

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Cited by in corpus (4)

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• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states