Fractional quantum Hall effect of Bose-Fermi mixtures
PHYSICAL REVIEW B(2021)
摘要
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 K = (m 1 1 n) 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 K matrix; (ii) fractionally quantized topological Chern number matrix equivalent to the inverse of the K matrix; and (iii) two parallel-propagating chiral edge branches with level counting 1,2,5,10 consistent with the conformal field theory description.
更多查看译文
关键词
Quantum Anomalous Hall Effect,Quantum Spin Hall Effect,Topological Quantum Computation,Semiconductor Quantum Dots
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要