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首页> 外文期刊>Physical review >Phase diagram of the J_1-J_2-J_3 Heisenberg model on the honeycomb lattice: A series expansion study
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Phase diagram of the J_1-J_2-J_3 Heisenberg model on the honeycomb lattice: A series expansion study

机译：蜂窝晶格上J_1-J_2-J_3 Heisenberg模型的相图：系列展开研究

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摘要

We study magnetically-ordered phases and their phase boundaries in the J_1-J_2-J_3 Heisenberg models on the honeycomb lattice using series expansions around Neel and different colinear and noncolinear magnetic states. An Ising anisotropy (λ = J_⊥/ J_z ≠ 1) is introduced and ground-state energy and magnetization order parameter are calculated as a power series expansion in X. Series extrapolation methods are used to study properties for the Heisenberg model (λ = 1). We find that at large J_3 (>0.6) there is a first-order transition between Neel and columnar states, in agreement with the classical answer. For J_3 = 0, we find that the Neel phase extends beyond the region of classical stability. We also find that spiral phases are stabilized over large parameter regions, although their spiral angles can be substantially renormalized with respect to the classical values. Our study also shows a magnetically disordered region at intermediate J_2/J_1 and J_3/J_1 values.
机译：我们使用围绕Neel的级数展开以及不同的共线性和非共线性磁态，研究了蜂窝晶格上的J_1-J_2-J_3 Heisenberg模型中的磁性有序相及其相界。引入一个Ising各向异性（λ=J_⊥/ J_z≠1），并计算基态能量和磁化阶数参数作为X中的幂级数展开。使用系列外推法研究Heisenberg模型的性质（λ= 1 ）。我们发现，在大J_3（> 0.6）的情况下，尼尔和柱状态之间存在一阶跃迁，与经典答案一致。对于J_3 = 0，我们发现Neel相超出了经典稳定性范围。我们还发现，尽管可以将螺旋相位相对于经典值进行实质上的重新归一化，但螺旋相位在较大的参数区域内稳定。我们的研究还显示了在中间J_2 / J_1和J_3 / J_1值处的磁混乱区域。

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