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Condensed Matter > Strongly Correlated Electrons
Title: Fractional quantum Hall effect of Bose-Fermi mixtures
(Submitted on 15 Dec 2020 (v1), last revised 22 May 2021 (this version, v2))
Abstract: Multicomponent quantum Hall effect, under the interplay between intercomponent and intracomponent correlations, leads us to new emergent topological orders. Here, we report the theoretical discovery of fractional quantum hall effect of strongly correlated Bose-Fermi mixtures classified by the $\mathbf{K}=\begin{pmatrix} m & 1\\ 1 & n\\ \end{pmatrix}$ matrix (even $m$ for boson and odd $n$ for fermion), using topological flat band models. Utilizing the state-of-the-art exact diagonalization and density-matrix renormalization group methods, we build up the topological characterization based on three inherent aspects: (i) topological $(mn-1)$-fold ground-state degeneracy equivalent to the determinant of the $\mathbf{K}$ matrix, (ii) fractionally quantized topological Chern number matrix equivalent to the inverse of the $\mathbf{K}$ matrix, and (iii) two parallel-propagating chiral edge branches with level counting $1,2,5,10$ consistent with the conformal field theory description.
Submission history
From: Tian-Sheng Zeng [view email][v1] Tue, 15 Dec 2020 10:50:07 GMT (153kb)
[v2] Sat, 22 May 2021 00:41:34 GMT (154kb)
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