SU(N) fractional quantum Hall effect in topological flat bands

Zeng, Tian-Sheng; Sheng, D. N.

doi:10.1103/physrevb.97.035151

SU(N) fractional quantum Hall effect in topological flat bands

Journal Article · Mon Jan 22 23:00:00 EST 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.97.035151· OSTI ID:1865101

Zeng, Tian-Sheng ^[1]; Sheng, D. N. ^[2]

Univ. of Texas at Dallas, Richardson, TX (United States); California State University, Northridge (CSUN), CA (United States); CSUN
California State University, Northridge (CSUN), CA (United States)

We study N-component interacting particles (hardcore bosons and fermions) loaded in topological lattice models with SU(N)-invariant interactions based on exact diagonalization and density matrix renormalization group method. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that a class of SU(N) fractional quantum Hall states can emerge at fractional filling factors nu=N/(N+1) for bosons [nu=N/(2N+1) for fermions] in the lowest Chern band, characterized by the nontrivial fractional Hall responses and the fractional charge pumping. Moreover, we establish a topological characterization based on the K matrix and discuss the close relationship to the fractional quantum Hall physics in topological flat bands with Chern number N.

View Accepted Manuscript (DOE)

Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1865101

Alternate ID(s):: OSTI ID: 1417773
OSTI ID: 1540771

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 3 Vol. 97; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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SU(N) fractional quantum Hall effect in topological flat bands

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