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arXiv 1907.02183cond-mat.mes-hall
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从降维系统到体系统的声子模映射

Mapping Phonon Modes from Reduced-Dimensional to Bulk Systems

Hyun-Young Kim, Kevin D. Parish, Alan J. H. McGaughey

摘要:

提出了一种将二维布里渊区所定义的薄膜的真声子模映射到三维布里渊区所定义的相应体材料的声子模的算法。该算法是基于正常模式分解,并受到启发的观察,由二维本征向量产生的原子运动导致驻波状的行为在跨平面方向。它适用于由Lennard-Jones(LJ)氩(其体积是各向同性的)和石墨烯(其体积(石墨)是各向异性的)构建的两到十个晶胞厚度之间的膜。对于LJ氩,由于声子频率向低值偏移,随着膜变薄,态密度偏离体密度。这种转变是由于薄膜的各向异性和二次声学分支的出现而导致的横向分支分裂的结果。因此,虽然映射算法对于较厚的LJ氩膜工作良好,但是对于较薄的膜,其表现不佳,因为在2D和3D模式之间存在较弱的对应性。对于石墨烯,由于固有的各向异性,即使是最薄的膜的态密度也与石墨的态密度紧密匹配,除了在低频下的小位移。因此,映射算法对于石墨烯膜的所有厚度都工作良好,表明2D和3D模式之间的强对应性。

英文摘要:

An algorithm for mapping the true phonon modes of a film, which are defined by a two-dimensional (2D) Brillouin zone, to the modes of the corresponding bulk material, which are defined by a three-dimensional (3D) Brillouin zone, is proposed. The algorithm is based on normal mode decomposition and is inspired by the observation that the atomic motions generated by the 2D eigenvectors lead to standing-wave-like behaviors in the cross-plane direction. It is applied to films between two and ten unit cells thick built from Lennard-Jones (LJ) argon, whose bulk is isotropic, and graphene, whose bulk (graphite) is anisotropic. For LJ argon, the density of states deviates from that of the bulk as the film gets thinner due to phonon frequencies that shift to lower values. This shift is a result of transverse branch splitting due to the film's anisotropy and the emergence of a quadratic acoustic branch. As such, while the mapping algorithm works well for the thicker LJ argon films, it does not perform as well for the thinner films as there is a weaker correspondence between the 2D and 3D modes. For graphene, the density of states of even the thinnest films closely matches that of graphite due to the inherent anisotropy, except for a small shift at low frequency. As a result, the mapping algorithm works well for all thicknesses of the graphene films, indicating a strong correspondence between the 2D and 3D modes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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