Time-dependent electron tunneling through time-dependent tunnel barriers
Time-dependent electron tunneling through time-dependent tunnel barriers
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随时间变化的电子隧道穿过随时间变化的隧道势垒
DOI：
10.1063/1.1783592
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发表时间：
2004
影响因子：
3.2
通讯作者：
G. Haddad
中科院分区：
文献类型：
--
作者：
Z. Gribnikov;G. Haddad
平面电子波入射到由电势V（x，t）=V0（x）+V1（x）cosωt形成的隧道透明势垒上，除了通常的稳态透射和反射驻波外，还产生以相同频率ω振荡的“透射”和“反射”电子波。所发射的振荡波可以用作在太赫兹范围内振荡的渡越时间微波发生器的基础。(Such振荡器是几乎半个世纪前提出的隧道发射渡越时间二极管振荡器的弹道模拟。在矩形势垒的特殊情况下，我们描述了一个小的透射振荡波振幅的频率ω和V_1（x）的值的依赖关系。我们考虑V1（x）的两种形式：（1）矩形势垒高度的齐次振荡和（2）V1（x）=aδ（x-x1）[其中δ（x）是狄拉克δ函数，0<x1<w; w是势垒厚度]。对于由隧穿时间确定的足够高的频率ω，a…
A plane electron wave incident on a tunnel-transparent potential barrier formed by the potential V(x,t)=V0(x)+V1(x)cosωt generates, in addition to the usual stationary transmitted and reflected stationary waves, also “transmitted” and “reflected” electron waves oscillating with the same frequency ω. The transmitted oscillating wave can serve as the basis for transit-time microwave generators oscillating in the terahertz range. (Such oscillators are ballistic analogs of the tunnel-emission transit-time diode oscillators suggested almost half a century ago.) In the special case of a rectangular potential barrier, we describe the dependence of a small transmitted oscillating wave amplitude on the frequency ω and the value of V1(x). We consider two forms of V1(x): (1) homogeneous oscillation of the height of the rectangular barrier and (2) V1(x)=aδ(x−x1) [where δ(x) is the Dirac delta function and 0<x1<w; w is the barrier thickness]. For sufficiently high frequencies ω determined by the time for tunneling, a ...