Magnetic field implementation in multibandk⋅pHamiltonians of holes in semiconductor heterostructures

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 [Phys. Rev. B 82, 155307 (2010)].

Application of the Landau-Zener-Stückelberg-Majorana dynamics to the electrically driven flip of a hole spin

“…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.…”

The Coulomb-interaction-induced breaking of the Aufbau principle for the hole charging of InGaAs/GaAs quantum dots

“…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.…”

“…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.…”

Hole spin relaxation in InAs/GaAs quantum dot molecules

“…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…”