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arXiv · 2305.08875

Double roton-minima in bosonic fractional quantum Hall states

Moumita Indra·Deepak Jain·Sandip Mondal
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Abstract

We have studied the collective spin-conserving collective excitation spectra in rotating diluted ultra-cold Bose atoms. Double roton-minima have been observed in the fractional quantum Hall (FQH) states for the two filling fractions ($\nu$) of the first series of Jain's composite fermion sequences. The obtained roton-minima for $\nu$ = 1/4 are at the wave-vectors 1.26 and 2.38 and the roton-minima for $\nu$ = 1/6 have been shifted to 1.08 and 2.06. Such shift of roton-minima is attributed due to strong correlation between the particles in bosonic FQH-system. Moreover, the number of roton minima observed depends upon number of attached fluxes as well as the ranges of interaction between the particles.

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Moumita Indra, Deepak Jain, Sandip Mondal. 2023-05-12. Double roton-minima in bosonic fractional quantum Hall states. https://doi.org/10.1088/1402-4896%2Facd426

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