海森堡反铁磁体在边与角共用三角形晶格上的热特性:来自自旋波的讯息

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY
Shoji Yamamoto, J. Ohara
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引用次数: 0

摘要

我们提出了一种修改自旋波的新方案,以描述各种非共线反铁磁体的热力学性质,并特别感兴趣的是边缘与角共享三角晶格之间的比较。众所周知的共线反铁磁体的修正自旋波理论对角化了一个受总交错磁化为零约束的玻色子哈密顿量。将该方案应用于受挫的非共线反铁磁体的结果是热力学差,错过了最佳基态并破坏了局部U(1)旋转对称。我们发现了这样一个似是而非的双约束条件,使得自旋螺旋在共线nsamel有序经典基态开始时可以自发地回到传统的单约束条件。我们首先对角化荷尔斯坦-普里马科夫玻色子算子中自旋量级为S的双线性项,然后以微扰而非变分的方式将这些线性自旋波引入相互作用。我们演示了在各种基于三角形的晶格上根据这样修改的相互作用自旋波的比热计算。在零维,修正自旋波的发现与有限温度的Lanczos计算相比较,结果非常成功,可以分别再现基于三角形的共享边柏拉图式和共享角阿基米德多面体晶格反铁磁体的单峰和双峰比热温度分布。在二维中,高温系列展开和基于张量网络的重整化群计算仍然存在争议,特别是在低温下,在这种情况下,修正自旋波有趣地预测了kagome-晶格反铁磁体在共享角几何中的比热在热力学极限下仍然具有中温宽最大值和低温窄峰值。而三角形晶格反铁磁体的比热在共边几何结构中保持低温尖峰,随后在热力学极限处出现中温弱异常。通过用我们新开发的双约束修正自旋波理论进一步计算一磁振子谱函数,我们揭示了在绝对零度到无穷远的整个温度范围内,不仅精细的修正方案,而且量子修正,特别是由0 (s0)主要自能引起的量子修正,是成功描述三角晶格非共线反铁磁体的关键因素。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: a message from spin waves
We propose a new scheme of modifying spin waves so as to describe the thermodynamic properties of various noncollinear antiferromagnets with particular interest in a comparison between edge- versus corner-sharing triangular-based lattices. The well-known modified spin-wave theory for collinear antiferromagnets diagonalizes a bosonic Hamiltonian subject to the constraint that the total staggered magnetization be zero. Applying this scheme to frustrated noncollinear antiferromagnets ends in a poor thermodynamics, missing the optimal ground state and breaking the local U(1) rotational symmetry. We find such a plausible double-constraint condition for spin spirals as to spontaneously go back to the traditional single-constraint condition at the onset of a collinear Néel-ordered classical ground state. We first diagonalize only the bilinear terms in Holstein-Primakoff boson operators on the order of spin magnitude S and then bring these linear spin waves into interaction in a perturbative rather than variational manner. We demonstrate specific-heat calculations in terms of thus-modified interacting spin waves on various triangular-based lattices. In zero dimension, modified-spin-wave findings in comparison with finite-temperature Lanczos calculations turn out so successful as to reproduce the monomodal and bimodal specific-heat temperature profiles of the triangular-based edge-sharing Platonic and corner-sharing Archimedean polyhedral-lattice antiferromagnets, respectively. In two dimensions, high-temperature series expansions and tensor-network-based renormalization-group calculations are still controversial especially at low temperatures, and under such circumstances, modified spin waves interestingly predict that the specific heat of the kagome-lattice antiferromagnet in the corner-sharing geometry remains having both mid-temperature broad maximum and low-temperature narrow peak in the thermodynamic limit, while the specific heat of the triangular-lattice antiferromagnet in the edge-sharing geometry retains a low-temperature sharp peak followed by a mid-temperature weak anormaly in the thermodynamic limit. By further calculating one-magnon spectral functions in terms of our newly developed double-constraint modified spin-wave theory, we reveal that not only the elaborate modification scheme but also quantum corrections, especially those caused by the O(S 0) primary self-energies, are key ingredients in the successful description of triangular-based-lattice noncollinear antiferromagnets over the whole temperature range of absolute zero to infinity.
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来源期刊
Journal of Physics Communications
Journal of Physics Communications PHYSICS, MULTIDISCIPLINARY-
CiteScore
2.60
自引率
0.00%
发文量
114
审稿时长
10 weeks
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