Spurious states free solutions of the k·p Hamiltonian for heterostructures

Konstantin I. Kolokolov; Jianzhong Li; Cun-Zheng Ning

doi:10.1117/12.480222

25 July 2003 Spurious states free solutions of the k.p Hamiltonian for heterostructures

Konstantin I. Kolokolov, Jianzhong Li, Cun-Zheng Ning

Proceedings Volume 4986, Physics and Simulation of Optoelectronic Devices XI; (2003) https://doi.org/10.1117/12.480222
Event: Integrated Optoelectronics Devices, 2003, San Jose, CA, United States

Abstract

We developed a method to eliminate the spurious solutions of the k•p Hamiltonian in the envelope function approximation applied to the quantized states of heterostructures by introducing an off-diagonal k² term. This results in a modification in the fourth and higher order terms in k of the band dispersion, which keeps the dispersion at the Γ point but modifies it at large k so that converts spurious states to the harmless evanescent ones. We show that the modification to the Hamiltonian leads to the monotonic behavior of the conduction band as a function of k and thus removes the spurious solutions in the calculations of confined states for all popular III-V compounds and their alloys.

Citation Download Citation

Konstantin I. Kolokolov, Jianzhong Li, and Cun-Zheng Ning "Spurious states free solutions of the k.p Hamiltonian for heterostructures", Proc. SPIE 4986, Physics and Simulation of Optoelectronic Devices XI, (25 July 2003); https://doi.org/10.1117/12.480222

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