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

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