Effects of symmetries on single-channel systems: Perfect transmission and reflection

被引:36
作者
Lee, HW
Kim, CS
机构
[1] Korea Inst Adv Study, Sch Phys, Seoul 130012, South Korea
[2] Chonnam Natl Univ, Dept Phys, Kwangju 500757, South Korea
关键词
D O I
10.1103/PhysRevB.63.075306
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the effects of symmetries on resonant transport in single-channel systems with an emphasis on their implications for atomic wires. Employing an expression of the scattering matrix in terms of its poles, it is shown that the mirror reflection and time-reversal symmetries lead generically to transmission and reflection peaks of magnitude I, resulting in perfect transmission and perfect reflection, respectively. In particular, it is demonstrated that even when multiple resonances overlap and resonance shapes are distorted considerably, the perfect transmission (perfect reflection) can still occur provided that a system is free from ''pair annihilation" events of two perfect transmissions (two perfect reflections). It is argued that these results can remain valid even when the employed expression of the scattering matrix becomes inapplicable, because the symmetries create certain topological structures of transmission and reflection amplitudes that stabilize the perfect transmission and reflection. Crossover from resonant transport to ballistic transport is also discussed. Results are discussed in connection with recent works on atomic wires.
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页数:12
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