Theoretical study on tunneling phenomena in asymmetrical rectangular double‐barrier structures with acceleration well

Abstract

SUMMARYAs a promising resonant tunneling structure for reduction of tunneling time, the "asymmetric rectangular double-barrier structure with an acceleration well" is proposed. Analytical expressions are derived for the tunneling transmission coefficient of the electrons and for the resonant condition. Also, the condition for the shortest tunneling time is analytically studied by using the dwell time as the tunneling time. From the resonant condition, the width of each layer can be determined for a given resonant energy. The resultant dwell time is calculated and discussed in terms of both theoretical and numerical analysis. Although the model proposed in this research is an idealized one, the proposed structure and the obtained results are considered useful in the design of tunneling devices in the sense that the tunneling time can be controlled.

Theoretical analysis of tunneling phenomenon in asymmetrical triple‐barrier structures with outer wells

“…(9) and (10), the outer well widths L w1 , L w2 , and L w3 of the single barrier structure with outer wells can be determined from Eq. (15).…”

“…Table 3 lists the dwell times τ d (E 1 ) and τ d (E 2 ) of the electrons with resonant energy values of E 1 and E 2 in the triple barrier structure with outer wells and the dwell times for the resonant energies E 1 and E 2 in the triple barrier structure without outer wells. For reference, the dwell time in the triple barrier structure with a prewell is also listed in Table 3 (it is considered possible to reduce the dwell time by a prewell [15]). Table 3 shows that the dwell time in the triple barrier structure with a prewell can be reduced to about 25% for τ d (E 1 ) and about 39% for τ d (E 2 ) in comparison with those in the triple barrier structure without outer wells.…”

“…To date, many studies have been carried out, both theoretically and experimentally [3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Electron transmission in symmetric and asymmetric double-barrier structures controlled by laser fields

“…Double-barrier resonant tunneling quantum structures have been extensively investigated due to their potential device http://dx.doi.org/10.1016/j.spmi.2015.05.016 0749-6036/Ó 2015 Elsevier Ltd. All rights reserved. applications [11][12][13][14]. Theoretical studies on tunneling phenomena in asymmetric rectangular double-barrier structures [11,12] have been performed.…”

An analysis of the resonant tunneling‐time based on the presence‐time formalism

“…Since then, theoretical works on symmetric double-barrier structures [18,19] and asymmetrical double-barrier structures under an applied bias [20,21] have been performed. Recently, Hamaguchi et al [22] calculated the tunneling-time for an asymmetrical rectangular double-barrier structure with an acceleration well, a structure that is expected to reduce the tunnelingtime. Simanjuntak et al [23] studied the time it takes an electron wave packet to traverse a superlattice with n cells and square-barrier periodic potential.…”