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Effect of magnetism on lattice dynamics of SrFe$$_{2}$$As$$_{2}$$ via high-resolution inelastic X-ray scattering

高分解能非弾性X線散乱を用いたSrFe$$_{2}$$As$$_{2}$$2の格子ダイナミクスにおける磁気秩序の効果

村井 直樹; 福田 竜生; 小林 達也*; 中島 正道*; 内山 裕士*; 石川 大介*; 筒井 智嗣*; 中村 博樹; 町田 昌彦; 宮坂 茂樹*; 田島 節子*

Murai, Naoki; Fukuda, Tatsuo; Kobayashi, Tatsuya*; Nakajima, Masamichi*; Uchiyama, Hiroshi*; Ishikawa, Daisuke*; Tsutsui, Satoshi*; Nakamura, Hiroki; Machida, Masahiko; Miyasaka, Shigeki*; Tajima, Setsuko*

高分解能非弾性X線を用いた鉄系超伝導体SrFe$$_{2}$$As$$_{2}$$のフォノン分散の測定結果を報告する。結晶の非双晶化により、二方向の等価な移行運動量方向におけるフォノン分散の異方性の観測に初めて成功した。しかしこの観測結果は、密度汎関数法が予想する異方性よりもかなり小さいものである。実験と計算結果との比較から、磁気揺らぎのフォノンへの寄与を想定し、その効果を現象論的に取り込んだモデルを提唱した。そのモデルから得られた計算により磁気転移点上下のフォノンの振る舞いを非常に良く再現することに成功した。

We report the first IXS study of single crystals of SrFe$$_{2}$$As$$_{2}$$ that have been detwinned via application of in-plane uniaxial stress. Our results clearly show anisotropy in phonon structure below $$it T_{s}$$ = $$it T_{N}$$ characterized by mode splitting at tetragonally-equivalent momentum transfers. To the best of our knowledge, this is the first observation of phonon anisotropy in iron-pnictides at finite momentum transfers. We obtain good agreement with our results using calculations that are modified to account for a reduced magnetic moment and fluctuating magnetism. Previous efforts using either non-magnetic calculations or static magnetism tend to either get the dispersion wrong from non-magnetic calculations or strongly over-estimate the phonon mode splitting when static magnetism is included. Our model for the response below $$it T_{N}$$ incorporates a phenomenological reduction in force constant anisotropy, by about 65%, that can be attributed to residual fast magnetic fluctuations. Above $$it T_{N}$$, all fluctuations are assumed to be fast and the response becomes the average of the results from the static magnetism. This serves as a starting point for a general model of phonons in iron-pnictides applicable to both non-magnetic and magnetic phases.

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