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

Autor: Kumar, Prashant, Bhatt, R. N.
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. B 106, 115101 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.106.115101
Popis: 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.
Comment: 8 pages, 2 figures: Published version
Databáze: arXiv