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Extended quantum {/(l)-liquid phase in a three-dimensional quantum dimer model

机译：三维量子二聚体模型中的扩展量子{/（l）-液相

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摘要

Recently, quantum dimer models have attracted a great deal of interest as a paradigm for the study of exotic quantum phases. Much of this excitement has centered on the claim that a certain class of quantum dimer model can support a quantum [/(l)-liquid phase with deconrined fractional excitations in three dimensions. These fractional monomer excitations are quantum analogs of the magnetic monopoles found in spin ice. In this paper, we use extensive quantum Monte Carlo simulations to establish the ground-state phase diagram of the quantum dimer model on the three-dimensional diamond lattice as a function of the ratio /x of the potential to kinetic-energy terms in the Hamiltonian. We find that, for ic = 0.75 ± 0.02, the model undergoes a first-order quantum phase transition from an ordered "R state" into an extended quantum [/(l)-liquid phase, which terminates in a quantum critical Rokhsar-Kivelson (RK) point for ii = 1. This confirms the published field-theoretical scenario. We present detailed evidence for the existence of the t/(l)-liquid phase and indirect evidence for the existence of its photon and monopole excitations. Simulations are benchmarked against a variety of exact and perturbative results, and a comparison is made of different variational wave functions. We also explore the ergodicity of the quantum dimer model on a diamond lattice within a given flux sector, identifying a new conserved quantity related to transition graphs of dimer configurations. These results complete and extend the previous analysis of O. Sikora et al. [Phys. Rev. Lett. 103, 247001 (2009)].
机译：近年来，作为研究奇异量子相的范例，量子二聚体模型引起了极大的兴趣。这种兴奋的大部分集中在这样的主张上：某类量子二聚体模型可以在三维中用去约束的分数激发来支持量子[/（l）-液相。这些分数单体激发是自旋冰中发现的磁性单极子的量子类似物。在本文中，我们使用大量的量子蒙特卡洛模拟来建立三维钻石晶格上的量子二聚体模型的基态相图，该图是哈密顿量中势能与动能项之比/ x的函数。我们发现，对于ic = 0.75±0.02，模型经历从有序“ R状态”到扩展量子[/（l）-液相的一阶量子相变，该相终止于量子临界Rokhsar-Kivelson ii = 1的（RK）点。这确认了已发布的现场理论方案。我们为t /（l）-液相的存在提供详细的证据，并为它的光子和单极激发的存在提供间接证据。针对各种精确和微妙的结果对模拟进行了基准测试，并对不同的波动波函数进行了比较。我们还研究了给定通量扇区内钻石晶格上的量子二聚体模型的遍历性，确定了与二聚体构型的跃迁图有关的新的守恒量。这些结果完善并扩展了O. Sikora等人先前的分析。 [物理牧师103，247001（2009）]。

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  • 来源
    《Physical review》 |2011年第11期|p.377-396|共20页
  • 作者

    Olga Sikora; Nic Shannon; Frank Pollmann; Karlo Penc; Peter Fulde;

  • 作者单位

    H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom;

    H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom;

    Max-Planck-Institut fiir Physik komplexer Systeme, D-01187 Dresden, Germany;

    Research Institute for Solid State Physics and Optics, H-1525 Budapest, P. O. Box 49, Hungary;

    Max-Planck-Institut fiir Physik komplexer Systeme, D-01187 Dresden, Germany Asia Pacific Center for Theoretical Physics, Pohang, Korea;

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