2017/06/30 by Petr A. Mishchenko, Yasuyuki Kato, Yukitoshi Motome · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Lattice (music) #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum annealing #Quantum computer #Quantum mechanics #Quantum phase transition #Quantum spin liquid #Spin polarization #Statistical physics #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.125124
published as Phys. Rev. B 96, 125124 (2017)
openalex publication_date 2017/09/15 · arxiv created 2018/02/26 · arxiv updated 2018/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the low-temperature quantum spin liquid and the high-temperature paramagnet in the Kitaev model on a three-dimensional hyperhoneycomb lattice. Here, we show that a similar ``liquid-gas'' transition takes place in another three-dimensional lattice, the hyperoctagon lattice. We investigate the critical phenomena by adopting the Green-function based Monte Carlo technique with the kernel polynomial method, which enables systematic analysis of up to 2048 sites. The critical temperature is lower than that in the hyperhoneycomb case, reflecting the smaller flux gap. We also discuss the transition on the basis of an effective model in the anisotropic limit.