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CONDENSED MATTER
Spin splitting of two-dimensional states in the conduction band of asymmetric heterostructures: Contribution from the atomically sharp interface
Zh. A. Devizorovaab,
V. A. Volkovab a Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences
b Moscow Institute of Physics and Technology
Abstract:
The effect of an atomically sharp impenetrable interface on the spin splitting of the spectrum of two-dimensional electrons in heterostructures based on (001) III–V has been analyzed. To this end, the single-band Hamiltonian Ã6 for envelope functions is supplemented by a general boundary condition taking into account the possibility of the existence of Tamm states. This boundary condition also takes into account the spin-orbit interaction, the asymmetry of a quantum well, and the noncentrosymmetricity of the crystal and contains the single phenomenological length
$R$ characterizing the structure of the interface at atomic scales. The model of a quasi-triangular well created by the field
$F$ has been considered. After the unitary transformation to zero boundary conditions, the modified Hamiltonian contains an interface contribution from which the two-dimensional spin Hamiltonian is obtained through averaging over the fast motion along the normal. In the absence of magnetic field
$\boldsymbol{\mathrm B}$, this contribution is the sum of the Dresselhaus and Bychkov–Rashba terms with the constants renormalized owing to the interface contribution. In the field
$\boldsymbol{\mathrm B}$ containing the quantizing component
$B_z$ , the off-diagonal (in cubic axes) components of the
$g$ factor tensor are linear functions of
$|B_ z |$ and the number of the Landau level N. The results are in qualitative agreement with the experimental data.
Received: 13.05.2013
Revised: 10.06.2013
DOI:
10.7868/S0370274X13140105
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