Preferential interaction paths for localized wave functions in disordered media

Jean Marie Lentali; Svitlana Mayboroda; Marcel Filoche

doi:10.1109/NUSOD.2017.8010008

Preferential interaction paths for localized wave functions in disordered media

Jean Marie Lentali, Svitlana Mayboroda, Marcel Filoche

School of Mathematics

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

Abstract

GaN-based alloys are characterized by important spatial composition inhomogeneities resulting from the random distribution of Indium atoms. These variations can induce carrier localization and strongly influence the performance of the devices. We present here a work based on the recent theory of the localization landscape, whose main result is the derivation of an effective potential W. The basins of this effective potential define the localization subregions of carriers. The exponential decay of the wave functions outside these regions is controlled by the Agmons distance, which is calculated on 2D landscape map. Interactions between bound states are shown to happen along very well defined preferential paths within the system.

Original language	English (US)
Title of host publication	17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017
Editors	Morten Willatzen, Joachim Piprek
Publisher	IEEE Computer Society
Pages	95-96
Number of pages	2
ISBN (Electronic)	9781509053230
DOIs	https://doi.org/10.1109/NUSOD.2017.8010008
State	Published - Aug 11 2017
Event	17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017 - Copenhagen, Denmark Duration: Jul 24 2017 → Jul 28 2017

Publication series

Name	Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD
ISSN (Print)	2158-3234

Other

Other	17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017
Country/Territory	Denmark
City	Copenhagen
Period	7/24/17 → 7/28/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Publisher link

10.1109/NUSOD.2017.8010008

Find It

Find It at U of M Libraries

Cite this

Lentali, J. M., Mayboroda, S., & Filoche, M. (2017). Preferential interaction paths for localized wave functions in disordered media. In M. Willatzen, & J. Piprek (Eds.), 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017 (pp. 95-96). Article 8010008 (Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD). IEEE Computer Society. https://doi.org/10.1109/NUSOD.2017.8010008

Preferential interaction paths for localized wave functions in disordered media. / Lentali, Jean Marie; Mayboroda, Svitlana; Filoche, Marcel.
17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017. ed. / Morten Willatzen; Joachim Piprek. IEEE Computer Society, 2017. p. 95-96 8010008 (Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD).

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

Lentali, JM, Mayboroda, S & Filoche, M 2017, Preferential interaction paths for localized wave functions in disordered media. in M Willatzen & J Piprek (eds), 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017., 8010008, Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD, IEEE Computer Society, pp. 95-96, 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017, Copenhagen, Denmark, 7/24/17. https://doi.org/10.1109/NUSOD.2017.8010008

Lentali JM, Mayboroda S, Filoche M. Preferential interaction paths for localized wave functions in disordered media. In Willatzen M, Piprek J, editors, 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017. IEEE Computer Society. 2017. p. 95-96. 8010008. (Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD). doi: 10.1109/NUSOD.2017.8010008

Lentali, Jean Marie ; Mayboroda, Svitlana ; Filoche, Marcel. / Preferential interaction paths for localized wave functions in disordered media. 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017. editor / Morten Willatzen ; Joachim Piprek. IEEE Computer Society, 2017. pp. 95-96 (Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD).

@inproceedings{1ee0b749f0664a71a4f506bc10c3835f,

title = "Preferential interaction paths for localized wave functions in disordered media",

abstract = "GaN-based alloys are characterized by important spatial composition inhomogeneities resulting from the random distribution of Indium atoms. These variations can induce carrier localization and strongly influence the performance of the devices. We present here a work based on the recent theory of the localization landscape, whose main result is the derivation of an effective potential W. The basins of this effective potential define the localization subregions of carriers. The exponential decay of the wave functions outside these regions is controlled by the Agmons distance, which is calculated on 2D landscape map. Interactions between bound states are shown to happen along very well defined preferential paths within the system.",

author = "Lentali, {Jean Marie} and Svitlana Mayboroda and Marcel Filoche",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017 ; Conference date: 24-07-2017 Through 28-07-2017",

year = "2017",

month = aug,

day = "11",

doi = "10.1109/NUSOD.2017.8010008",

language = "English (US)",

series = "Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD",

publisher = "IEEE Computer Society",

pages = "95--96",

editor = "Morten Willatzen and Joachim Piprek",

booktitle = "17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017",

}

TY - GEN

T1 - Preferential interaction paths for localized wave functions in disordered media

AU - Lentali, Jean Marie

AU - Mayboroda, Svitlana

AU - Filoche, Marcel

PY - 2017/8/11

Y1 - 2017/8/11

N2 - GaN-based alloys are characterized by important spatial composition inhomogeneities resulting from the random distribution of Indium atoms. These variations can induce carrier localization and strongly influence the performance of the devices. We present here a work based on the recent theory of the localization landscape, whose main result is the derivation of an effective potential W. The basins of this effective potential define the localization subregions of carriers. The exponential decay of the wave functions outside these regions is controlled by the Agmons distance, which is calculated on 2D landscape map. Interactions between bound states are shown to happen along very well defined preferential paths within the system.

AB - GaN-based alloys are characterized by important spatial composition inhomogeneities resulting from the random distribution of Indium atoms. These variations can induce carrier localization and strongly influence the performance of the devices. We present here a work based on the recent theory of the localization landscape, whose main result is the derivation of an effective potential W. The basins of this effective potential define the localization subregions of carriers. The exponential decay of the wave functions outside these regions is controlled by the Agmons distance, which is calculated on 2D landscape map. Interactions between bound states are shown to happen along very well defined preferential paths within the system.

UR - http://www.scopus.com/inward/record.url?scp=85028590561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028590561&partnerID=8YFLogxK

U2 - 10.1109/NUSOD.2017.8010008

DO - 10.1109/NUSOD.2017.8010008

M3 - Conference contribution

AN - SCOPUS:85028590561

T3 - Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD

SP - 95

EP - 96

BT - 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017

A2 - Willatzen, Morten

A2 - Piprek, Joachim

PB - IEEE Computer Society

T2 - 17th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2017

Y2 - 24 July 2017 through 28 July 2017

ER -

Preferential interaction paths for localized wave functions in disordered media

Abstract

Publication series

Other

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this