揭示S = 3/2的Kitaev蜂窝自旋液体。

Unveiling the S=3/2 Kitaev honeycomb spin liquids.

作者信息

Jin Hui-Ke, Natori W M H, Pollmann F, Knolle J

机构信息

Department of Physics TQM, Technische Universität München, James-Franck-Straße 1, D-85748, Garching, Germany.

Institute Laue-Langevin, BP 156, 41 Avenue des Martyrs, 38042, Grenoble, Cedex 9, France.

出版信息

Nat Commun. 2022 Jul 2;13(1):3813. doi: 10.1038/s41467-022-31503-0.

DOI:10.1038/s41467-022-31503-0

PMID:35780167

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9250503/

Abstract

The S=3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state coupled to a static Z gauge field. Employing an SO(6) Majorana representation of spin3/2's, we find an exact representation of the conserved plaquette fluxes in terms of static Z gauge fields akin to the S=1/2 KHM which enables us to treat the remaining interacting matter fermion sector in a parton mean-field theory. We uncover a ground-state phase diagram consisting of gapped and gapless QSLs. Our parton description is in quantitative agreement with numerical simulations, and is furthermore corroborated by the addition of a [001] single ion anisotropy (SIA) which continuously connects the gapless Dirac QSL of our model with that of the S=1/2 KHM. In the presence of a weak [111] SIA, we discuss an emergent chiral QSL within a perturbation theory.

摘要

S = 3/2的基泰夫蜂窝模型（KHM）是一种与静态Z规范场耦合的量子自旋液体（QSL）态。利用自旋3/2的SO(6)马约拉纳表示，我们找到了类似于S = 1/2 KHM的、关于静态Z规范场的守恒面元通量的精确表示，这使我们能够在部分子平均场理论中处理剩余的相互作用物质费米子部分。我们揭示了一个由有隙和无隙QSL组成的基态相图。我们的部分子描述与数值模拟在定量上一致，并且通过添加[001]单离子各向异性（SIA）得到进一步证实，该各向异性将我们模型的无隙狄拉克QSL与S = 1/2 KHM的无隙狄拉克QSL连续连接起来。在存在弱[111] SIA的情况下，我们在微扰理论中讨论了一种涌现的手征QSL。