Nakamura Hiroaki, Hatano Naomichi, Garmon Sterling, Petrosky Tomio
Department of Simulation Science, National Institute for Fusion Science, Oroshi-cho, Toki, Gifu 509-5292, Japan.
Phys Rev Lett. 2007 Nov 23;99(21):210404. doi: 10.1103/PhysRevLett.99.210404. Epub 2007 Nov 20.
We report the prediction of quasibound states (resonant states with very long lifetimes) that occur in the eigenvalue continuum of propagating states for certain systems in which the continuum is formed by two overlapping energy bands. We illustrate this effect using a quantum wire system with two channels and an attached adatom. When the energy bands of the two channels overlap, a would-be bound state that lays just below the upper energy band is slightly destabilized by the lower energy band and thereby becomes a resonant state with a very long lifetime (a second such state lays above the lower energy band). Unlike the bound states in continuum predicted by von Neumann and Wigner, these states occur for a wide region of parameter space.
我们报告了在某些系统中传播态的本征值连续谱中出现的准束缚态（具有极长寿命的共振态）的预测，在这些系统中，连续谱由两个重叠的能带构成。我们使用具有两个通道和一个附着吸附原子的量子线系统来说明这种效应。当两个通道的能带重叠时，位于上能带正下方的一个潜在束缚态会因下能带而略微失稳，从而成为具有极长寿命的共振态（另一个这样的态位于下能带上方）。与冯·诺依曼和维格纳预测的连续谱中的束缚态不同，这些态出现在参数空间的广泛区域。
