Fractional chiral hinge insulator

Hackenbroich, Anna; Hudomal, Ana; Schuch, Norbert; Bernevig, B. Andrei; Regnault, Nicolas

doi:10.1103/physrevb.103.l161110

Fractional chiral hinge insulator

Journal Article · Fri Apr 23 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.l161110· OSTI ID:1852149

Hackenbroich, Anna ^[1]; ^[2]; Schuch, Norbert ^[3]; Bernevig, B. Andrei ^[4]; ^[5]

Max Planck Society, Garching (Germany). Max Planck Inst. of Quantum Optics; Munich Center for Quantum Science and Technology (MCQST), Munich (Germany); OSTI
Univ. of Belgrade (Serbia); University of Leeds (United Kingdom)
Max Planck Society, Garching (Germany). Max Planck Inst. of Quantum Optics; Munich Center for Quantum Science and Technology (MCQST), Munich (Germany); Univ. of Vienna (Austria)
Princeton Univ., NJ (United States)
Princeton Univ., NJ (United States); Sorbonne Univ., Paris (France); University Paris-Diderot (France)

We propose and study a wave function describing an interacting three-dimensional fractional chiral hinge insulator (FCHI) constructed by Gutzwiller projection of two noninteracting second-order topological insulators with chiral hinge modes at half filling. We use large-scale variational Monte Carlo computations to characterize the model states via the entanglement entropy and charge-spin fluctuations. We show that the FCHI possesses fractional chiral hinge modes characterized by a central charge c = 1 and Luttinger parameter K = 1/2, like the edge modes of a Laughlin 1/2 state. The bulk and surface topology is characterized by the topological entanglement entropy (TEE) correction to the area law. While our computations indicate a vanishing bulk TEE, we show that the gapped surfaces host an unconventional two-dimensional topological phase. In a clear departure from the physics of a Laughlin 1/2 state, we find a TEE per surface compatible with (ln √2 )/2, half that of a Laughlin 1/2 state. This value cannot be obtained from topological quantum field theory for purely two-dimensional systems. For the sake of completeness, we also investigate the topological degeneracy.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); European Research Council (ERC); German Research Foundation (DFG); National Science Foundation (NSF); Ministry of Education, Science, and Technological Development of the Republic of Serbia; Science Fund of the Republic of Serbia; Schmidt Fund for Innovative Research; Simons Foundation; Packard Foundation; US Department of the Navy, Office of Naval Research (ONR); Gordon and Betty Moore Foundation; U.S-Israel Binational Science Foundation; Princeton Global Network Funds

Grant/Contract Number:: SC0016239

OSTI ID:: 1852149

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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