Rashba spin-orbit effect on tunneling time in graphene superlattice

Abstract

Based on transfer-matrix and stationary phase methods, we have investigated the tunneling time (group delay time) through monolayer graphene superlattice in the presence of Rashba spin-orbit interaction. It is found that the tunneling time has an oscillatory behavior with respect to Rashba spin-orbit interaction strength. Furthermore, the tunneling time for normal incident angle is independent of spin state of electron, while for oblique incident angles, it depends on the spin state of electron. It is also shown that, for normal incident, the Hartman effect vanishes, while for oblique incident, the Hartman effect appears whenever the x (the growth direction of superlattice) component of the electron wave vector inside the barriers is imaginary.

Barrier tunneling time of an electron in graphene

“…The integral value of hw tra jS i jw ref i in position space is zero due to the same reason as mentioned to Eq. (16). Considering Eq.…”

“…[10][11][12][13] Recently, some papers focus on the tunneling time in graphene-based magnetic barrier nanostructures. [14][15][16][17] The Hartman effect, 18 the dependence on the incident angle and the energy of the carrier, and the influence of the spin-orbit effect are investigated for the tunneling time of 2D massless pseudo-spin Dirac particles. In quantum mechanics, time enters as a parameter rather than an observable.…”

Generalized Hamiltonian for a graphene subjected to arbitrary in-plane strains

“…94,95 Recently, Rashba SOI is extensively used in the tunable spin transport. [96][97][98][99][100][101][102][103][104] Another way is the proximity effect between a ferromagnetic insulator and graphene, 105 which induces the ferromagnetic graphene and has been demonstrated in experiments. 106,107 For the graphene valleytronics, the valley valve, filter and polarization also need to be realized.…”

Rashba spin–orbit effect on dwell time in graphene asymmetrical barrier

“…The dwell time was first introduced by Smith, which is defined as the time spent by a particle in the barrier region 0 \ x \ L [21]. Recently, some papers have focused on the group delay and/or dwell time in graphene-based barrier nanostructures [22][23][24][25][26][27][28][29][30]. In this work, we study the dwell time through an asymmetric barrier in monolayer graphene with RSOI, which to the best of our knowledge has not already been reported.…”