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Quantum paramagnetic ground states on the honeycomb lattice and field-induced Neel order

机译：蜂窝晶格上的量子顺磁基态和场致Neel阶

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摘要

Bi_3Mn_4O_(12)(NO_3) is a recently synthesized spin-3/2 bilayer honeycomb antiferromagnet which behaves as a spin liquid down to very low temperatures. Beyond a magnetic field of about 5 T, it develops long-range Neel order. Motivated by this observation, we have studied spin-5 Heisenberg models with next neighbor frustrating interactions as well as bilayer couplings on the honeycomb lattice. For a model with frustrating second-neighbor exchange, J_2, we use a Lindemann-like criterion within spin-wave theory to show that Neel order melts beyond a critical J_2 The critical J_2 is found to increase in the presence of a magnetic field, implying the existence of a field-induced paramagnet-Neel transition over a range of parameters. For the bilayer model, we use a spin-S generalization of bond operator mean-field theory to show that there is a Neel-dimer transition for various spin values with increasing bilayer coupling and that the resulting interlayer dimer state undergoes a field-induced transition into a state with transverse Neel order. Motivated by a broader interest in such paramagnets, we have also studied a spin-3/2 model which interpolates between the nearest-neighbor Heisenberg model and the Affleck-Kennedy-Lieb-Tasaki (AKLT) parent Hamiltonian. Using exact diagonalization, we have found that there is a single Neel-AKLT quantum phase transition in this model. Computing the fidelity susceptibility and assuming a transition in the 0(3) universality class, we have located the critical point of this model. In addition, we have obtained the spin gap of the AKLT parent Hamiltonian. Our numerics indicate that the AKLT state also undergoes a field-induced Neel ordering transition. We discuss implications of some of our results for experiments Bi_3Mn_4O_(12)(NO_3) and for numerics on the honeycomb lattice Hubbard model.
机译：Bi_3Mn_4O_（12）（NO_3）是最近合成的自旋3/2双层蜂窝反铁磁体，其在很低的温度下仍可作为自旋液体。除了约5 T的磁场外，它还形成了远距离Neel级。基于这一观察结果，我们研究了自旋5海森堡模型，该模型具有相邻的令人沮丧的相互作用以及蜂窝状晶格上的双层耦合。对于具有令人沮丧的第二邻居交换J_2的模型，我们在自旋波理论中使用了类似于Lindemann的准则，表明Neel阶熔化超过了临界J_2。发现临界J_2在存在磁场的情况下会增加，这意味着在一系列参数中存在场感应的顺磁-尼尔跃迁。对于双层模型，我们使用键算子平均场理论的spin-S泛化来表明随着双层耦合的增加，各种自旋值都有一个Neel-dimer跃迁，并且所得的层间二聚体状态经历了场诱导的跃迁进入横向Neel顺序的状态。出于对此类顺磁体的广泛兴趣，我们还研究了自旋3/2模型，该模型在最近邻居海森堡模型和Affleck-Kennedy-Lieb-Tasaki（AKLT）父哈密顿量之间进行内插。使用精确的对角化，我们发现该模型中只有一个Neel-AKLT量子相变。计算保真度敏感性并假设在0（3）通用性类中进行了转换，我们确定了该模型的关键点。此外，我们已经获得了AKLT父哈密顿量的自旋间隙。我们的数字表明AKLT状态也经历了场诱导的Neel有序转变。我们讨论了某些结果对实验Bi_3Mn_4O_（12）（NO_3）以及蜂窝格Hubbard模型上数值的影响。

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  • 来源
    《Physical review》 |2011年第14期|p.144414.1-144414.7|共7页
  • 作者

    R. Ganesh; D. N. Sheng; Young-June Kim; A. Paramekanti;

  • 作者单位

    Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7;

    department of Physics and Astronomy, California State University, Northridge, California 91330, USA;

    Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7;

    Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7,Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8;

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  • 正文语种 eng
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  • 关键词

    quantized spin models; spin waves;

    机译：量化自旋模型;自旋波;

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