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arXiv · 2205.06310

Possible continuous transition from fractional quantum Hall to stripe phase at $\nu_e=7/3$

Prashant Kumar·R. N. Bhatt
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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.

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Prashant Kumar, R. N. Bhatt. 2022-05-12. Possible continuous transition from fractional quantum Hall to stripe phase at $\nu_e=7/3$. https://doi.org/10.1103/physrevb.106.115101

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