Spin Resonance in a Quantum Dot at the Edge of a Topological Insulator with the Inclusion of Continuum States

Quasistationary states in a quantum dot formed at the edge of a topological insulator by magnetic barriers with finite transparency

“…We consider a simple step-like profile of f 1,2 for each magnetic barrier having the width d 1,2 . This profile may describe both non-transparent barriers with the width d 1,2 → ∞ as it was in [11,12] and the case of transparent barriers with finite d 1,2 which is the subject of the present paper. The alignment of the barriers is shown in Fig.…”

“…29 ns. According to our estimates of the manipulation time for the level population produced by the periodic electric field [12] the required time intervals are of the order of (4 . .…”

“…In papers [11,12] we have derived a model of the discrete and continuum states in a 1D artificial quantum dot formed by the application of magnetic barriers in the proximity of the 1D edge states of the 2D topological insulator based on the HgTe/CdTe quantum well:…”

“…The magnetization orientation for both barriers is parallel with angles θ 1 = θ 2 = 0. Under such conditions only two discrete levels are formed for the states confined in the quantum dot at −L/2 ≤ y ≤ L/2 [12]. They have energies E 1,2 = ∓9.62 meV counted from the Dirac point E = 0 of the spectrum.…”

“…Various models of QD in TI have been proposed, most of them attributing the application of magnetic barriers [9,10,11]. In our recent paper [12] we have applied the model of a QD formed by magnetic barriers with finite height but with zero transparency stemming from an infinite width to study the effects of driving by periodic electric field and the associated times of QD level population switch or the times of the escape into continuum. These times of coherent manipulation can be estimated as short as 20-30 ps.…”