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arXiv 1110.4530cond-mat.mes-hallphysics.comp-ph
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基于DFT研究的氮化物中极化和极化感应电场的临界评价

Polarization and polarization induced electric field in nitrides - critical evaluation based on DFT studies

Pawel Strak, Pawel Kempisty, Konrad Sakowski, Stanislaw Krukowski

摘要:

使用密度泛函理论(DFT)计算来评估诸如氮化铝(AlN)、氮化镓(GaN)和氮化铟(InN)的III族氮化物的极性,从而提供这些材料的极性的物理上合理的定量测量。氮化物半导体的极化的两种不同的方法进行了评估,并已被用于开发模型的结论。结果表明,Berry相位公式的电子相关的极化分量提供了一些不同的解决方案,不同的模拟体积的各种选择。电子部分给出锯齿状的偏振图案。这些解决方案的总数,涉及到众所周知的缩放的几何相位,等于系统中的价电子的数量。对离子部分进行类似模式的求和提供了几个极化值。标准偶极子密度公式依赖于周期性连续方式的模拟体积的选择。利用连续嵌入到无限介质中的条件,同时,在晶体边界处的零表面电荷表示提供了物理上合理的解决方案。这个解决方案是对应于最大和最小的偏振值,也对应于不同的物理终止的晶体表面,无论是裸露的或覆盖的互补原子。这种变化导致极化和电场反转。得到了有限尺寸系统中的极化及相关场。

英文摘要:

Density Functional Theory (DFT) calculations were used to evaluate polarity of group III nitrides, such as aluminum nitride (AlN), gallium nitride (GaN) and indium nitride (InN) providing physically sound quantitative measure of polarity of these materials. Two different approaches to polarization of nitride semiconductors were assessed and the conclusions have been used to develop models. It was shown that Berry phase formulation of the electron related polarization component provides a number of various solutions, different for various selection of the simulated volume. The electronic part gives saw-like pattern for polarization. A total number of these solutions, related to well known scaling of the geometric phase, is equal to the number of valence electrons in the system. Summation with similar pattern for ionic part provides several polarization values. Standard dipole density formulation depends on the selection of the simulation volume in periodic continuous way. Using a condition of continuous embedding into the infinite medium, and simultaneously, the zero surface charge representation at crystal boundary provides to physically sound solution. This solution is corresponding to maximal and minimal polarization values and also corresponds to different physical termination of the crystal surfaces, either bare or covered by complementary atoms. This change leads to polarization and electric field reversal. The polarization and related fields in finite size systems were obtained.

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