1/4 is the new 1/2 when topology is intertwined with Mottness

Mai, Peizhi; Zhao, Jinchao; Feldman, Benjamin E.; Phillips, Philip W.

doi:10.1038/s41467-023-41465-6

1/4 is the new 1/2 when topology is intertwined with Mottness

Journal Article · Tue Sep 26 00:00:00 EDT 2023 · Nature Communications

DOI:https://doi.org/10.1038/s41467-023-41465-6· OSTI ID:2472278

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University of Illinois at Urbana-Champaign, IL (United States); OSTI
University of Illinois at Urbana-Champaign, IL (United States)
Stanford University, CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)

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.

View Accepted Manuscript (DOE)

Research Organization:: University of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: SC0021238

OSTI ID:: 2472278

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 14; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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