### 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 k
^{2} 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 F 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.

Original language | English (US) |
---|---|

Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Editors | M. Osinski, H. Amano, P. Blood |

Pages | 265-272 |

Number of pages | 8 |

Volume | 4986 |

DOIs | |

State | Published - 2003 |

Externally published | Yes |

Event | PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI - San Jose, CA, United States Duration: Jan 27 2003 → Jan 31 2003 |

### Other

Other | PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI |
---|---|

Country | United States |

City | San Jose, CA |

Period | 1/27/03 → 1/31/03 |

### Fingerprint

### Keywords

- Heterostructures
- Multiband Hamiltonian
- Spurious states

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 4986, pp. 265-272) https://doi.org/10.1117/12.480222

**Spurious states free solutions of k·p Hamiltonian for heterostructures.** / Kolokolov, K. I.; Li, J.; Ning, Cun-Zheng.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 4986, pp. 265-272, PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI, San Jose, CA, United States, 1/27/03. https://doi.org/10.1117/12.480222

}

TY - GEN

T1 - Spurious states free solutions of k·p Hamiltonian for heterostructures

AU - Kolokolov, K. I.

AU - Li, J.

AU - Ning, Cun-Zheng

PY - 2003

Y1 - 2003

N2 - 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 k 2 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 F 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.

AB - 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 k 2 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 F 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.

KW - Heterostructures

KW - Multiband Hamiltonian

KW - Spurious states

UR - http://www.scopus.com/inward/record.url?scp=0242693131&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242693131&partnerID=8YFLogxK

U2 - 10.1117/12.480222

DO - 10.1117/12.480222

M3 - Conference contribution

AN - SCOPUS:0242693131

VL - 4986

SP - 265

EP - 272

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Osinski, M.

A2 - Amano, H.

A2 - Blood, P.

ER -