@article{c6ec5f66fa164966b676bd5737a6ed97,
title = "Fractional chiral hinge insulator",
abstract = "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 (ln2)/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.",
author = "Anna Hackenbroich and Ana Hudomal and Norbert Schuch and Bernevig, {B. Andrei} and Nicolas Regnault",
note = "Funding Information: We thank B. Estienne for enlightening discussions. A. Hackenbroich and N.S. acknowledge support from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program through the ERC Starting Grant WASCOSYS (Grant No. 636201) and the ERC Consolidator Grant SEQUAM (Grant No. 863476) and from the Deutsche Forschungsgemeinschaft (DFG) under Germany's Excellence Strategy (EXC-2111-390814868). A. Hackenbroich and N.R. were supported by Grant No. ANR-17-CE30-0013-01. N.R. was partially supported by NSF through Princeton University's Materials Research Science and Engineering Center (Grant No. DMR-2011750B). A. Hudomal acknowledges funding provided by the Institute of Physics Belgrade, through the grant from the Ministry of Education, Science, and Technological Development of the Republic of Serbia, as well as by the Science Fund of the Republic of Serbia, under the Key2SM project (PROMIS program, Grant No. 6066160). Part of the numerical simulations were performed at the PARADOX-IV supercomputing facility at the Scientific Computing Laboratory, National Center of Excellence for the Study of Complex Systems, Institute of Physics Belgrade. B.A.B. was supported by DOE Grant No. DE-SC0016239, the Schmidt Fund for Innovative Research, Simons Investigator Grant No. 404513, the Packard Foundation, NSF-EAGER Grant No. DMR 1643312, NSF-MRSEC Grants No. DMR-1420541 and DMR-2011750, ONR Grant No. N00014-20-1-2303, the Gordon and Betty Moore Foundation through Grant No. GBMF8685 towards the Princeton theory program, U.S-Israel Binational Science Foundation Grant No. 2018226, and the Princeton Global Network Funds. Publisher Copyright: {\textcopyright} 2021 American Physical Society.",
year = "2021",
month = apr,
day = "23",
doi = "10.1103/PhysRevB.103.L161110",
language = "English (US)",
volume = "103",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "16",
}