Multichannel phenomena

All the phenomena described above are absent in a 2D-junction when the effects of transverse mode quantization are neglected [7]. We have considered the limiting case of a single (transverse) channel because this is the case when the effects induced by a dispersion asymmetry in the electron spectrum are most pronounced. The anomalous supercurrent Eq. (7) is a sign alternating function of the transverse channel index since for neighboring channels the spin projections of chiral states are opposite [4]. Besides, the absolute value of the dispersion asymmetry parameter decreases with transverse-channel number j. So, for a multichannel junction the effects related to a dispersion asymmetry phenomenon will be strongly suppressed and they completely disappear in the pure 2D case. 

Such behavior is a very general phenomenon inherent in Zip ) even when transfer is multichannel, as given by Eq. (3.51) for W )R. This fact was confirmed in Ref. 179, where the transfer was studied assuming xD = oo as above. However, the role of the finite lifetime was then subjected to a separate investigation and not only in case b but in cases a and c as well [25]. As was expected in all cases, the FEG curves approach their kinetic limit with reduction of xD as they do with increasing D [25,32]. 

---