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A Monte-Carlo study of three-dimensional chiral spin liquids in anisotropic hypernonagon Kitaev models

日程 : 2018年2月21日(水) 3:00 pm - 4:00 pm 場所 : 物性研究所本館6階 第5セミナー室 (A615) 講師 : 加藤 康之 氏 所属 : Department of Applied Physics, University of Tokyo 世話人 : Naoki KAWASHIMA (ex.63260)
e-mail: kawashima@issp.u-tokyo.ac.jp

The Kitaev model is an exactly-soluble quantum spin model with frustration. Since the ground state was rigorously proven to be a quantum spin liquid, this model has been extensively studied in this decade. Although the original model was defined on a simple honeycomb lattice, the model has been extended to various tricoordinate lattices without losing the exact solubility. We analyze two different anisotropic limits of the Kitaev model on a three-dimensional lattice comprising nine-site elementary loops, which we call the hypernonagon lattice. In both cases, the effective Ising-type models retain the time-reversal symmetry, suggesting that the ground states are chiral spin liquids. Using Monte Carlo simulations that respect the local and global constraints on the Ising variables representing Z2 fluxes, we show that there is a first-order phase transition at a finite temperature in each case, but in a different manner.
Reference: Y. Kato, Y. Kamiya, J. Nasu, and Y. Motome, Phys. Rev. B 96, 174409 (2017).

(公開日: 2018年02月16日)