Abstract:We propose an implementation of external homogeneous magnetic fields in k•p Hamiltonians for holes in heterostructures, in which we made use of the minimal coupling prior to introduce the envelope function approximation. Illustrative calculations for holes in InGaAs quantum dot molecules show that the proposed Hamiltonian outperforms standard Luttinger model [Physical Review 102, 1030(1956] describing the experimentally observed magnetic response. The present implementation culminates our previous proposal [P… Show more
“…This is a model that was used in Ref. 24, but with two changes: I) the inverted effective mass values for heavy holes in xy plane γ 1 + γ 2 and the light holes one γ 1 − γ 2 for the 100 orientation were substituted by analogous values for the 111 system (i.e. γ 1 + γ 3 and γ 1 − γ 3 , respectively) and II) we omit the terms proportional to B 2 z as they are very small for the range of magnetic field that was considered.…”
An idea of employing the Landau-Zener-Stückelberg-Majorana (LZSM) dynamics to flip a spin of a single ground state hole is introduced and explored by a time-dependent simulation. This configuration interaction study considers a hole confined in a quantum molecule formed in InSb 111 quantum wire by application of an electrostatic potential. An up-down spin-mixing avoided crossing is formed by non-axial terms in the Kohn-Luttinger Hamiltonian and the Dresselhaus spin-orbit one. Manipulation of the system is possible by dynamic change of external vertical electric field, which enables the consecutive driving of the hole through two anticrossings. Moreover, a simple model of the power-law type noise that impedes the precise electric control of the system is included in the form of random telegraph noise to estimate the limitations of the working conditions. We show that in principle the process is possible, but it requires a precise control of parameters of the driving impulse. PACS numbers: 73.21.La -46,45 J z =+3/2, m=2 J z =+3/2, m=1 J z =-3/2, m=2 J z =-3/2, m=1
“…This is a model that was used in Ref. 24, but with two changes: I) the inverted effective mass values for heavy holes in xy plane γ 1 + γ 2 and the light holes one γ 1 − γ 2 for the 100 orientation were substituted by analogous values for the 111 system (i.e. γ 1 + γ 3 and γ 1 − γ 3 , respectively) and II) we omit the terms proportional to B 2 z as they are very small for the range of magnetic field that was considered.…”
An idea of employing the Landau-Zener-Stückelberg-Majorana (LZSM) dynamics to flip a spin of a single ground state hole is introduced and explored by a time-dependent simulation. This configuration interaction study considers a hole confined in a quantum molecule formed in InSb 111 quantum wire by application of an electrostatic potential. An up-down spin-mixing avoided crossing is formed by non-axial terms in the Kohn-Luttinger Hamiltonian and the Dresselhaus spin-orbit one. Manipulation of the system is possible by dynamic change of external vertical electric field, which enables the consecutive driving of the hole through two anticrossings. Moreover, a simple model of the power-law type noise that impedes the precise electric control of the system is included in the form of random telegraph noise to estimate the limitations of the working conditions. We show that in principle the process is possible, but it requires a precise control of parameters of the driving impulse. PACS numbers: 73.21.La -46,45 J z =+3/2, m=2 J z =+3/2, m=1 J z =-3/2, m=2 J z =-3/2, m=1
“…In our work we follow Ref. 19 in including the magnetic field B z into the model as: (6) where J env z is the total angular momentum of envelope, µ B is Bohr magneton and κ = 4 3 , κ ′ = 2 3 are effective hole g-factors.…”
Section: Magnetic Fieldmentioning
confidence: 99%
“…This work is a continuation of the studies of the group of Planelles & Climente [see Refs. 10,[17][18][19]. It employs a model that is in several ways more precise than the one used by Ref.…”
The so called 'incomplete hole shell filling' phenomenon, that is the breaking of the Aufbau principle was reported by Reuter et al (Phys. Rev. Lett. 94 026808) in the hole charging spectra of a quantum dot when the results were interpreted in the context of the s/p/d shell system-typical for electrons. We report an example of an inter-particle-interaction induced Aufbau principle violation even if it is applied to the one-particle Kohn-Luttinger eigenstates. We present a [Formula: see text]/configuration-interaction study that concerns multiple holes confined in an InGaAs/GaAs self-assembled cylindrical quantum dot. The eigenenergies and eigenvectors of up to six hole ground states were obtained-along with the corresponding one-hole orbital occupations-and discussed in the context of the Aufbau principle.
“…The uniform axial magnetic field is described by the vector potential in the symmetric gauge A = B 2 (−y, x, 0). The implementation follows the procedure described in [35]. The resulting Hamiltonian H B has the form…”
Abstract. We calculate the spin-orbit induced hole spin relaxation between Zeeman sublevels of vertically stacked InAs quantum dots. The widely used Luttinger-Kohn Hamiltonian, which considers coupling of heavy-and light-holes, reveals that hole spin lifetimes (T 1 ) of molecular states significantly exceed those of single quantum dot states. However, this effect can be overcome when cubic Dresselhaus spin-orbit interaction is strong. Misalignment of the dots along the stacking direction is also found to be an important source of spin relaxation.
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