TY - JOUR
T1 - 1/4 is the new 1/2 when topology is intertwined with Mottness
AU - Mai, Peizhi
AU - Zhao, Jinchao
AU - Feldman, Benjamin E.
AU - Phillips, Philip W.
N1 - We thank Taylor L. Hughes, Edwin W. Huang, Kin Fai Mak and Kam Tuen Law, Cristian Batista, Thomas Maier, Charlie Kane and Barry Bradlyn for useful discussions. We also thank P. Armitage for help with the pithy title. This work was supported by the Center for Quantum Sensing and Quantum Materials, a DOE Energy Frontier Research Center, grant DE-SC0021238 (P.M., B.E.F., and P.W.P.). P.W.P. also acknowledges NSF DMR-2111379 for partial funding of the HK work, which led to these results. The DQMC calculation of this work used the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) Expanse supercomputer through the research allocation TG-PHY220042, which is supported by National Science Foundation grant number ACI-1548562.
We thank Taylor L. Hughes, Edwin W. Huang, Kin Fai Mak and Kam Tuen Law, Cristian Batista, Thomas Maier, Charlie Kane and Barry Bradlyn for useful discussions. We also thank P. Armitage for help with the pithy title. This work was supported by the Center for Quantum Sensing and Quantum Materials, a DOE Energy Frontier Research Center, grant DE-SC0021238 (P.M., B.E.F., and P.W.P.). P.W.P. also acknowledges NSF DMR-2111379 for partial funding of the HK work, which led to these results. The DQMC calculation of this work used the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) Expanse supercomputer through the research allocation TG-PHY220042, which is supported by National Science Foundation grant number ACI-154856290.
PY - 2023/12
Y1 - 2023/12
N2 - In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now shift to quarter filling. A topological Mott insulator is the underlying cause. The peak in the spin susceptibility is consistent with a possible ferromagnetic state at T = 0. The onset of such magnetism would convert the quantum spin Hall to a quantum anomalous Hall effect. While such a symmetry-broken phase typically is accompanied by a gap, we find that the interaction strength must exceed a critical value for this to occur. Hence, we predict that topology can obtain in a gapless phase but only in the presence of interactions in dispersive bands. These results explain the recent quarter-filled quantum anomalous Hall effects seen in moiré systems.
AB - In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now shift to quarter filling. A topological Mott insulator is the underlying cause. The peak in the spin susceptibility is consistent with a possible ferromagnetic state at T = 0. The onset of such magnetism would convert the quantum spin Hall to a quantum anomalous Hall effect. While such a symmetry-broken phase typically is accompanied by a gap, we find that the interaction strength must exceed a critical value for this to occur. Hence, we predict that topology can obtain in a gapless phase but only in the presence of interactions in dispersive bands. These results explain the recent quarter-filled quantum anomalous Hall effects seen in moiré systems.
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U2 - 10.1038/s41467-023-41465-6
DO - 10.1038/s41467-023-41465-6
M3 - Article
C2 - 37752137
AN - SCOPUS:85172704175
SN - 2041-1723
VL - 14
JO - Nature communications
JF - Nature communications
IS - 1
M1 - 5999
ER -