2019/04/30 by Tian-Sheng Zeng, D. N. Sheng, W. Zhu
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Characterization (materials science) #Combinatorics #Electron #Geometry #Inverse #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #Topological quantum number #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.100.075106
published as Phys. Rev. B 100, 075106 (2019) · 7 pages, 6 figures. revised version
openalex created_date 2019/04/25 · openalex publication_date 2019/08/02 · arxiv created 2019/08/03 · arxiv updated 2019/08/06 · openalex updated_date 2026/08/06
We study the many-body ground states of SU(N) symmetric hardcore bosons on the topological flat-band model by using controlled numerical calculations. By introducing strong intracomponent and intercomponent interactions, we demonstrate that a hierarchy of bosonic SU(N) fractional quantum Hall (FQH) states emerges at fractional filling factors \ensuremathν=N/(MN+1) (odd M=3). In order to characterize this series of FQH states, we figure the effective K matrix from the inverse of the Chern number matrix. The topological characterization of the K matrix also reveals quantized drag Hall responses and fractional charge pumping that could be detected in future experiments. In addition, we address the general one-to-one correspondence to the spinless FQH states in topological flat bands with Chern number C=N at fillings \stackrel\ifmmode \else \~\fi\ensuremathν=1/(MC+1).