Spin- and wave-vector dependent resonant tunneling through magnetic barriers

Does a magnetic barrier or a magnetic-electric barrier structure possess any spin polarization and spin filtering under zero bias?

“…It is well known that the transmission probability through a potential is always equal for particles moving in opposite directions i.e., the tunneling characteristics are invariant with respect to the replacement x→Ϫx in the equation of motion. 4 According to this invariance, U eff (x,k y ,ϩ1)ϭU eff (Ϫx,k y ,Ϫ1) in Eq. ͑2͒ will lead to the independence of the transmission probability on the spin direction.…”

“…B 54, 11911 ͑1996͔͒ and G. Papp Recently, the idea of electronic devices that exploit both the charge and spin of an electron for their operation has given rise to the field of ''spintronics,'' literally spin electronics, in which the direction of an electron spin is just important as its charge. [1][2][3][4][5] Previously, A. Majumdar 6 considered a pure magnetic barrier and has showed that the structure had the ability to distinguish the two possible spin states of the electrons. Very recently, G. Papp and F. M. Peeters 7 have reported that the spin polarization and spin filtering can be enhanced by the presence of a rectangular electric barrier between the two magnetic barriers.…”

The Effect of Both Abrupt and Strong Enhancement of Current in the Semiconductor System: Schottky Barrier Containing a Double Barrier Resonant-Tunneling Structure

“…(A3) for a simplified case: m s ¼ m b ¼ m * , m b is the electron effective mass in the barrier regions of the DBRTS. We have then g ¼ 1 and (see also [8,9]) D r ffi ½cosh 2 ðd 1 þ d 3 þ ln 4Þ cos 2 ðd 2 Þ þ cosh 2 ðd 1 À d 3 Þ sin 2 ðd 2 Þ À1 ; ð2Þ…”

Spin polarization induced by an external electric field in a hybrid magnetic-electric barrier

“…Since the work on electronic tunneling through magnetic barriers was done by Peeters's group, 1,2 there has been increased interest in magnetically modulated two-dimensional electron system ͑2DEG͒, [3][4][5][6][7][8][9][10][11][12][13][14] which is further inspired by the nascent field called ''Spintronics.'' [15][16][17][18][19] In this field, researchers are trying to utilize spin-dependent effects to devise a new generation of electronic devices.…”