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Title: Excited quantum anomalous and spin Hall effect: dissociation of flat-bands-enabled excitonic insulator state

Abstract

Quantum anomalous Hall effect (QAHE) and quantum spin Hall effect (QSHE) are two interesting physical manifestations of 2D materials that have an intrinsic nontrivial band topology. In principle, they are ground-state equilibrium properties characterized by Fermi level lying in a topological gap, below which all the occupied bands are summed to a non-zero topological invariant. In this work, we propose theoretical concepts and models of ‘excited’ QAHE (EQAHE) and EQSHE generated by dissociation of an excitonic insulator (EI) state with complete population inversion (CPI), a unique many-body ground state enabled by two yin-yang flat bands (FBs) of opposite chirality hosted in a diatomic Kagome lattice. The two FBs have a trivial gap in between, i.e. the system is a trivial insulator in the single-particle ground-state, but nontrivial gaps above and below, so that upon photoexcitation the quasi-Fermi levels of both electrons and holes will lie in a nontrivial gap achieved by the CPI-EI state, as demonstrated by exact diagonalization calculations. Then dissociation of singlet and triplet EI state will lead to EQAHE and EQSHE, respectively. Realizations of yin-yang FBs in real materials are also discussed.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [1]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Songshan Lake Materials Laboratory, Guangdong (China); Chinese Academy of Sciences (CAS), Beijing (China)
  3. Univ. of Science and Technology of China, Hefei (China)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1905824
Grant/Contract Number:  
FG02-04ER46148
Resource Type:
Accepted Manuscript
Journal Name:
Nanotechnology
Additional Journal Information:
Journal Volume: 33; Journal Issue: 41; Journal ID: ISSN 0957-4484
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; flat band; quantum anomalous Hall effect; quantum spin Hall effect; excitonic insulator state; complete population inversion; diatomic Kagome lattice

Citation Formats

Zhou, Yinong, Sethi, Gurjyot, Liu, Hang, Wang, Zhengfei, and Liu, Feng. Excited quantum anomalous and spin Hall effect: dissociation of flat-bands-enabled excitonic insulator state. United States: N. p., 2022. Web. doi:10.1088/1361-6528/ac7a4b.
Zhou, Yinong, Sethi, Gurjyot, Liu, Hang, Wang, Zhengfei, & Liu, Feng. Excited quantum anomalous and spin Hall effect: dissociation of flat-bands-enabled excitonic insulator state. United States. https://doi.org/10.1088/1361-6528/ac7a4b
Zhou, Yinong, Sethi, Gurjyot, Liu, Hang, Wang, Zhengfei, and Liu, Feng. Tue . "Excited quantum anomalous and spin Hall effect: dissociation of flat-bands-enabled excitonic insulator state". United States. https://doi.org/10.1088/1361-6528/ac7a4b. https://www.osti.gov/servlets/purl/1905824.
@article{osti_1905824,
title = {Excited quantum anomalous and spin Hall effect: dissociation of flat-bands-enabled excitonic insulator state},
author = {Zhou, Yinong and Sethi, Gurjyot and Liu, Hang and Wang, Zhengfei and Liu, Feng},
abstractNote = {Quantum anomalous Hall effect (QAHE) and quantum spin Hall effect (QSHE) are two interesting physical manifestations of 2D materials that have an intrinsic nontrivial band topology. In principle, they are ground-state equilibrium properties characterized by Fermi level lying in a topological gap, below which all the occupied bands are summed to a non-zero topological invariant. In this work, we propose theoretical concepts and models of ‘excited’ QAHE (EQAHE) and EQSHE generated by dissociation of an excitonic insulator (EI) state with complete population inversion (CPI), a unique many-body ground state enabled by two yin-yang flat bands (FBs) of opposite chirality hosted in a diatomic Kagome lattice. The two FBs have a trivial gap in between, i.e. the system is a trivial insulator in the single-particle ground-state, but nontrivial gaps above and below, so that upon photoexcitation the quasi-Fermi levels of both electrons and holes will lie in a nontrivial gap achieved by the CPI-EI state, as demonstrated by exact diagonalization calculations. Then dissociation of singlet and triplet EI state will lead to EQAHE and EQSHE, respectively. Realizations of yin-yang FBs in real materials are also discussed.},
doi = {10.1088/1361-6528/ac7a4b},
journal = {Nanotechnology},
number = 41,
volume = 33,
place = {United States},
year = {Tue Jul 19 00:00:00 EDT 2022},
month = {Tue Jul 19 00:00:00 EDT 2022}
}

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