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Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

机译：SU（6）Heisenberg模型中蜂窝网格上的小球序

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摘要

We revisit the SU(6) Heisenberg model on the honeycomb lattice, which has been predicted to be a chiral spin liquid by mean-field theory [G. Szirraai et al., Phys. Rev. A 84, 011611(R) (2011)]. Using exact diagonalizations of finite clusters, infinite projected entangled pair state simulations, and variational Monte Carlo simulations based on Gutzwiller projected wave functions, we provide strong evidence that the model with one particle per site and nearest-neighbor exchange actually develops plaquette order. This is further confirmed by the investigation of the model with a ring-exchange term, which shows that there is a transition between the plaquette state and the chiral state at a finite value of the ring-exchange term.
机译：我们重新审视了蜂窝晶格上的SU（6）Heisenberg模型，根据平均场理论[G. Szirraai et al。，Phys。修订版A 84，011611（R）（2011）]。使用有限簇的精确对角线化，无穷投影纠缠对状态模拟以及基于Gutzwiller投影波函数的变分蒙特卡罗模拟，我们提供了有力的证据，每个位点一个粒子并且最近邻交换的模型实际上形成了球拍序。通过对具有环交换项的模型的研究进一步证实了这一点，该模型表明在环交换项的有限值处，在球状状态和手性状态之间存在过渡。

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  • 来源
    《Physical review》 |2016年第20期|201113.1-201113.6|共6页
  • 作者

    Pierre Nataf; Miklos Lajko; Philippe Corboz; Andreas M. Laeuchli; Karlo Penc; Frederic Mila;

  • 作者单位

    Institute of Physics, Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland;

    Institute for Solid State Physics, University of Tokyo, Kashiwa 277-8581, Japan;

    Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, The Netherlands;

    Institut fuer Theoretische Physik, Universitaet Innsbruck, A-6020 Innsbruck, Austria;

    Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O.B. 49, H-1525 Budapest, Hungary,MTA-BME Lenduelet Magneto-optical Spectroscopy Research Group, H-1111 Budapest, Hungary;

    Institute of Physics, Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland;

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