Two-component quantum Hall effects in topological flat bands

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

doi:10.1103/PhysRevB.95.125134

Two-component quantum Hall effects in topological flat bands

Journal Article · Mon Mar 27 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.125134· OSTI ID:1415368

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

California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here in this paper, we study quantum Hall states for two-component particles (hardcore bosons and fermions) loading in topological lattice models. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that two-component fractional quantum Hall states emerge at certain fractional filling factors ν = 1/2 for fermions (ν = 2/3 for bosons) in the lowest Chern band, classified by features from ground states including the unique Chern number matrix (inverse of the K matrix), the fractional charge and spin pumpings, and two parallel propagating edge modes. Moreover, we also apply our strategy to two-component fermions at integer filling factor ν = 2 , where a possible topological Neel antiferromagnetic phase is under intense debate very recently. For the typical π -flux checkerboard lattice, by tuning the onsite Hubbard repulsion, we establish a first-order phase transition directly from a two-component fermionic ν = 2 quantum Hall state at weak interaction to a topologically trivial antiferromagnetic insulator at strong interaction, and therefore exclude the possibility of an intermediate topological phase for our system.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396; FG02-06ER46305

OSTI ID:: 1415368

Alternate ID(s):: OSTI ID: 1348959

Report Number(s):: LA-UR--17-20075

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 12 Vol. 95; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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