论文标题
激子的尺寸量化：“死层”的玩具模型
Size quantization of an exciton: A toy model of the "dead layer"
论文作者
论文摘要
理论上研究了大纳米晶体中激子的大小定量水平。对于纳米晶体尺寸，$ L $，比Bohr半径大得多，$ A_B $，级别位置不取决于$ a_b $。小参数$ a_b/l $中对级别的校正取决于边界的反射阶段。该阶段的计算构成了三体问题：电子，孔和边界。当孔比电子重得多时，可以在限制下进行分析计算。从物理上讲，孔向边界的慢动作发生在电子绕孔绕过边界的快速运动产生的有效电势。结果，在到达边界之前会反射孔。孔到边界最接近的距离（死层）的距离超过$ a_b $参数。
Size-quantization levels of an exciton in large nanocrystals is studied theoretically. For the nanocrystal size, $L$, much bigger than the Bohr radius, $a_B$, the level positions do not depend on $a_B$. The correction to the levels in a small parameter $a_B/L$ depends on the reflection phase of the exciton from the boundary. Calculation of this phase constitutes a three-body problem: electron, hole, and the boundary. This calculation can be performed analytically in the limit when the hole is much heavier than the electron. Physically, a slow motion of the hole towards the boundary takes place in the effective potential created by the fast motion of the electron orbiting the hole and touching the boundary. As a result, the hole is reflected before reaching the boundary. The distance of the closest approach of the hole to the boundary (the dead layer) exceeds $a_B$ parametrically.
