### Abstract

We utilize the Kadanoff-Baym-Keldysh methods to develop a formalism appropriate for high, homogeneous fields. The aim is to derive a spectral density model which can account for both the energy dependence of the collision rate and the intracollisional field effect in a relatively simple and rigorous way. We solve the appropriate Dyson's equation in the first Born approximation for the case of scattering mechanisms described by a momentum-independent self-energy. We obtain an analytical expression for the spectral density and derive an integral equation for the correlation function G^{<}, which is proportional to the density of particles. We show that the field, acting in conjunction with the phonons, leads to an effective quantization of the energy in the direction of the electric field suggesting the presence of a novel quantum effect consisting in a discontinuous trajectory of the electron along this direction.

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

Pages (from-to) | 1167-1171 |

Number of pages | 5 |

Journal | Solid State Electronics |

Volume | 32 |

Issue number | 12 |

DOIs | |

State | Published - 1989 |

### Fingerprint

### Keywords

- collisional broadening
- intra-collisional field effect
- quantum distribution function
- Quantum theory of transport phenomena
- self-energy
- spectral density function

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Solid State Electronics*,

*32*(12), 1167-1171. https://doi.org/10.1016/0038-1101(89)90208-6

**Position broadening effect in hot-electron transport.** / Bertoncini, R.; Kriman, A. M.; Ferry, D. K.; Reggiani, L.; Rota, L.; Poli, P.; Jauho, A. P.

Research output: Contribution to journal › Article

*Solid State Electronics*, vol. 32, no. 12, pp. 1167-1171. https://doi.org/10.1016/0038-1101(89)90208-6

}

TY - JOUR

T1 - Position broadening effect in hot-electron transport

AU - Bertoncini, R.

AU - Kriman, A. M.

AU - Ferry, D. K.

AU - Reggiani, L.

AU - Rota, L.

AU - Poli, P.

AU - Jauho, A. P.

PY - 1989

Y1 - 1989

N2 - We utilize the Kadanoff-Baym-Keldysh methods to develop a formalism appropriate for high, homogeneous fields. The aim is to derive a spectral density model which can account for both the energy dependence of the collision rate and the intracollisional field effect in a relatively simple and rigorous way. We solve the appropriate Dyson's equation in the first Born approximation for the case of scattering mechanisms described by a momentum-independent self-energy. We obtain an analytical expression for the spectral density and derive an integral equation for the correlation function G<, which is proportional to the density of particles. We show that the field, acting in conjunction with the phonons, leads to an effective quantization of the energy in the direction of the electric field suggesting the presence of a novel quantum effect consisting in a discontinuous trajectory of the electron along this direction.

AB - We utilize the Kadanoff-Baym-Keldysh methods to develop a formalism appropriate for high, homogeneous fields. The aim is to derive a spectral density model which can account for both the energy dependence of the collision rate and the intracollisional field effect in a relatively simple and rigorous way. We solve the appropriate Dyson's equation in the first Born approximation for the case of scattering mechanisms described by a momentum-independent self-energy. We obtain an analytical expression for the spectral density and derive an integral equation for the correlation function G<, which is proportional to the density of particles. We show that the field, acting in conjunction with the phonons, leads to an effective quantization of the energy in the direction of the electric field suggesting the presence of a novel quantum effect consisting in a discontinuous trajectory of the electron along this direction.

KW - collisional broadening

KW - intra-collisional field effect

KW - quantum distribution function

KW - Quantum theory of transport phenomena

KW - self-energy

KW - spectral density function

UR - http://www.scopus.com/inward/record.url?scp=0024923443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024923443&partnerID=8YFLogxK

U2 - 10.1016/0038-1101(89)90208-6

DO - 10.1016/0038-1101(89)90208-6

M3 - Article

AN - SCOPUS:0024923443

VL - 32

SP - 1167

EP - 1171

JO - Solid-State Electronics

JF - Solid-State Electronics

SN - 0038-1101

IS - 12

ER -