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Title: 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:
 [1]; ORCiD logo [2];  [1]
  1. California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); 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:
Journal Article: 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. doi: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. doi: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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