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Maximum theoretical electron mobility in n -type Ge 1−x Sn x due to minimum doping requirement set by intrinsic carrier density
Journal of Computational Electronics ( IF 2.2 ) Pub Date : 2021-01-02 , DOI: 10.1007/s10825-020-01613-3
Shyamal Mukhopadhyay , Bratati Mukhopadhyay , Gopa Sen , P. K. Basu

The amount of doping to make a semiconductor extrinsic depends on the intrinsic carrier density at a particular temperature. The impurity scattering in the presence of doping determines the maximum mobility exhibited by the semiconductor. In the present work, we estimate the values of intrinsic carrier density of the alloy Ge1−xSnx for 0 < x < 0.2 at and around 300 K. Since the alloy exhibits a direct-gap nature at x ≥ 0.08, the electron mobility is enhanced due to low effective mass in the lower Γ valley and reduced non-equivalent intervalley scattering. The electron mobility, calculated by considering all scattering processes, increases with increasing x, attains a peak and then decreases. The peak mobility is as high as 105 cm2/V s for donor density equaling intrinsic density. With a 50-fold increase in donor density, the mobility is 3 × 103 cm2/V s, which is still higher than the value in similarly doped bulk Ge.



中文翻译:

n型Ge 1-x Sn x中的最大理论电子迁移率,这是由于固有载流子密度设定的最低掺杂要求所致

使半导体非本征掺杂的量取决于特定温度下的本征载流子密度。在掺杂存在下的杂质散射决定了半导体表现出的最大迁移率。在目前的工作中,我们估计合金的Ge的本征载流子密度的值1- X Sn的X为0 <  X  <0.2处和周围300 K.由于合金表现出直接的间隙本质X  ≥0.08,电子由于较低的Γ谷中的有效质量较低,并且非等价的区间利散射减少,迁移率得以提高。通过考虑所有散射过程计算出的电子迁移率随x的增加而增加,先达到峰值,然后降低。供体密度等于固有密度的峰值迁移率高达10 5 cm 2 / V s。随着施主密度增加50倍,迁移率达到3×10 3 cm 2 / V s,仍高于相似掺杂的块状Ge中的迁移率。

更新日期:2021-01-02
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