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2013
DOI: 10.1088/0953-8984/25/48/485801
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Magnetic field implementation in multibandkpHamiltonians 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 [P… Show more

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Cited by 6 publications
(11 citation statements)
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References 48 publications
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“…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.…”
Section: Electric and Magnetic Fieldsmentioning
confidence: 99%
“…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.…”
Section: Electric and Magnetic Fieldsmentioning
confidence: 99%
“…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.…”
Section: Chemical Potentialmentioning
confidence: 99%
“…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…”
Section: Theoretical Modelmentioning
confidence: 99%