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arXiv 0911.2409cond-mat.mtrl-sci
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磷IV结构中无公度调制的电子起源

Electronic origin of the incommensurate modulation in the structure of phosphorus IV

Valentina F. Degtyareva

摘要:

最近在压力范围为107-137 GPa的P-IV相的轻V族元素磷中发现了无公度调制结构。我们考虑配置的布里渊区和费米球内的近自由电子模型,以分析这些配置的晶体结构能量的重要性。对于具有基心正交结构的相P-IV,oC 2,我们考虑具有沿c轴的11倍超晶胞和等于3/11的调制波矢量的相称近似,其接近于实验观察到的值0.267。由于调制引起的原子位移导致卫星反射的出现,从而形成额外的布里渊区平面。这种结构的稳定性归因于由于布里渊区-费米表面相互作用而导致的电子能带结构能量的降低。

英文摘要:

An incommensurate modulated structure was found recently in a light group V element phosphorous in the phase P-IV stable in the pressure range 107-137 GPa. We consider configurations of the Brillouin zone and Fermi sphere within a nearly-free-electron model in order to analyze the importance of these configurations for the crystal structure energy. For the phase P-IV with the base-centered orthorhombic structure, oC2, we consider a commensurate approximant with an 11-fold supercell along the c-axis and a modulation wave vector equal 3/11 which is close to the experimentally observed value of 0.267. Atomic shifts due to the modulation result in appearance of satellite reflections and hence in a formation of additional Brillouin zone planes. The stability of this structure is attributed to the lowering of the electronic band structure energy due to Brillouin zone - Fermi surface interactions.

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