Anomalous bilayer quantum Hall effect

Sethi, Gurjyot; Sheng, D. N.; Liu, Feng

doi:10.1103/physrevb.108.l161112

Title: Anomalous bilayer quantum Hall effect

Journal Article · Wed Oct 25 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.108.l161112· OSTI ID:2203494

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University of Utah, Salt Lake City, UT (United States)
California State University, Northridge (CSUN), CA (United States)

In parallel to the condensed-matter realization of quantum Hall (Chern insulators), quantum spin Hall (topological insulators), and fractional quantum Hall (fractional Chern insulators) effects, we propose that bilayer flat band (FB) lattices with one FB in each layer constitute solid-state analogs of bilayer quantum Hall (BQH) system, leading to anomalous BQH effect without a magnetic field. By exact diagonalization of a bilayer kagome lattice Hamiltonian, as a prototypical example, we demonstrate the stabilization of excitonic condensate Halperin's (1,1,1) state at the total filling v_T = 1 of the two FBs. Furthermore, by tuning the interlayer tunneling and distance between the kagome layers at v_T = 2/3, we show phase transitions among Halperin's (3,3,0), spin-singlet (1,1,2), and particle-hole conjugate of Laughlin's 1/3 states, as previously observed in conventional BQH systems. Furthermore, our work opens a new direction in the field of FB physics by demonstrating bilayer FB materials as an attractive avenue for realizing exotic anomalous BQH states including non-Abelian anyons.

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Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305; FG02-04ER46148

OSTI ID:: 2203494

Journal Information:: Physical Review. B, Vol. 108, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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