Two-component quantum Hall effects in topological flat bands
Abstract
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.
- Authors:
-
[2];
- California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1415368
- Alternate Identifier(s):
- OSTI ID: 1348959
- Report Number(s):
- LA-UR-17-20075
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800773
- Grant/Contract Number:
- AC52-06NA25396; FG02-06ER46305
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Hubbard model; Density matrix; Bosons; Fermions
Citation Formats
Zeng, Tian-Sheng, Zhu, Wei, and Sheng, D. N. Two-component quantum Hall effects in topological flat bands. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.125134.
Zeng, Tian-Sheng, Zhu, Wei, & Sheng, D. N. Two-component quantum Hall effects in topological flat bands. United States. https://doi.org/10.1103/PhysRevB.95.125134
Zeng, Tian-Sheng, Zhu, Wei, and Sheng, D. N. Mon .
"Two-component quantum Hall effects in topological flat bands". United States. https://doi.org/10.1103/PhysRevB.95.125134. https://www.osti.gov/servlets/purl/1415368.
@article{osti_1415368,
title = {Two-component quantum Hall effects in topological flat bands},
author = {Zeng, Tian-Sheng and Zhu, Wei and Sheng, D. N.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.95.125134},
journal = {Physical Review B},
number = 12,
volume = 95,
place = {United States},
year = {Mon Mar 27 00:00:00 EDT 2017},
month = {Mon Mar 27 00:00:00 EDT 2017}
}
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