High-temperature fractional quantum Hall state in the Floquet kagome flat band

Liu, Hang; Sethi, Gurjyot; Sheng, D. N.; Zhou, Yinong; Sun, Jia-Tao; Meng, Sheng; Liu, Feng

doi:10.1103/physrevb.105.l161108

Title: High-temperature fractional quantum Hall state in the Floquet kagome flat band

Journal Article · Fri Apr 29 00:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.105.l161108· OSTI ID:1905826

Liu, Hang ^[1];

^[2]; Sheng, D. N. ^[3]; Zhou, Yinong ^[2]; Sun, Jia-Tao ^[4]; Meng, Sheng ^[5];

^[2]

Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Utah, Salt Lake City, UT (United States); Songshan Lake Materials Laboratory, Guangdong (China)
Univ. of Utah, Salt Lake City, UT (United States)
California State University, Northridge (CSUN), CA (United States)
Chinese Academy of Sciences (CAS), Beijing (China); Beijing Institute of Technology (China)
Univ. of Utah, Salt Lake City, UT (United States); Songshan Lake Materials Laboratory, Guangdong (China)

A fractional quantum Hall effect (FQHE) has been predicted in a topological flat band (FB) by a single-particle band structure combined with phenomenological theory or solution of a many-body lattice Hamiltonian with fuzzy parameters. A long-standing roadblock toward the realization of a FB-FQHE is lacking the many-body solution of specific materials under realistic conditions. Here, we demonstrate a combined study of single-particle Floquet band theory with exact diagonalization (ED) of a many-body Hamiltonian. We show that a time-periodic circularly polarized laser inverts the sign of second-nearest-neighbor hopping in a kagome lattice and enhances spin-orbit coupling in one spin channel to produce a Floquet FB with a high flatness ratio of bandwidth over band gap, as exemplified in monolayer Pt₃C₃₆S₁₂H₁₂. The ED of the resultant Floquet-kagome lattice Hamiltonian gives a one-third-filling ground state with a laser-dependent excitation gap of a FQH state, up to an estimated temperature above 70 K. Our findings pave the way for exploring the alluding high-temperature FB-FQHE.

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Research Organization:: Univ. of Utah, Salt Lake City, UT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Key Research and Development Program of China; National Basic Research Program of China; National Natural Science Foundation of China (NSFC); Chinese Academy of Sciences; China Postdoctoral Science Foundation; Guangdong Basic and Applied Basic Research Foundation; China Scholarship Council

Grant/Contract Number:: FG02-04ER46148; FG02-06ER46305; 2020YFA0308800; 2016YFA0300902; 2015CB921001; 91850120; 11774396; 11974045; 12147136; XDB30000000; 2021M700163; 2021A1515110466

OSTI ID:: 1905826

Journal Information:: Physical Review. B, Vol. 105, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: High-temperature fractional quantum Hall state in the Floquet kagome flat band

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