Localization landscape theory of disorder in semiconductors. I. Theory and modeling
Abstract
Here, we present here a model of carrier distribution and transport in semiconductor alloys accounting for quantum localization effects in disordered materials. This model is based on the recent development of a mathematical theory of quantum localization which introduces for each type of carrier a spatial function called localization landscape. These landscapes allow us to predict the localization regions of electron and hole quantum states, their corresponding energies, and the local densities of states. We show how the various outputs of these landscapes can be directly implemented into a drift-diffusion model of carrier transport and into the calculation of absorption/emission transitions. This creates a new computational model which accounts for disorder localization effects while also capturing two major effects of quantum mechanics, namely, the reduction of barrier height (tunneling effect) and the raising of energy ground states (quantum confinement effect), without having to solve the Schrödinger equation. Finally, this model is applied to several one-dimensional structures such as single quantum wells, ordered and disordered superlattices, or multiquantum wells, where comparisons with exact Schrödinger calculations demonstrate the excellent accuracy of the approximation provided by the landscape theory.
- Authors:
-
- Ecole Polytechnique, Univ. Paris-Saclay, Palaiseau (France). Lab. of Condensed Matter Physics
- National Taiwan Univ., Taipei (Taiwan). Graduate Inst. of Photonics and Optoelectronics and Dept. of Electrical Engineering
- Ecole Polytechnique, Univ. Paris-Saclay, Palaiseau (France). Lab. of Condensed Matter Physics; Univ. of California, Santa Barbara, CA (United States). Dept. of Materials
- Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics
- Publication Date:
- Research Org.:
- Univ. of California, Santa Barbara, CA (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE), Energy Efficiency Office. Building Technologies Office; French National Research Agency (ANR); Ministry of Science and Technology (MOST), Taipei (Taiwan); Alfred P. Sloan Foundation; National Science Foundation (NSF)
- OSTI Identifier:
- 1429093
- Alternate Identifier(s):
- OSTI ID: 1352103
- Grant/Contract Number:
- EE0007096; DMS-1056004
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 14; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; Anderson localization; local density of states; localization; disordered systems; semiconductor compounds
Citation Formats
Filoche, Marcel, Piccardo, Marco, Wu, Yuh-Renn, Li, Chi-Kang, Weisbuch, Claude, and Mayboroda, Svitlana. Localization landscape theory of disorder in semiconductors. I. Theory and modeling. United States: N. p., 2017.
Web. doi:10.1103/physrevb.95.144204.
Filoche, Marcel, Piccardo, Marco, Wu, Yuh-Renn, Li, Chi-Kang, Weisbuch, Claude, & Mayboroda, Svitlana. Localization landscape theory of disorder in semiconductors. I. Theory and modeling. United States. https://doi.org/10.1103/physrevb.95.144204
Filoche, Marcel, Piccardo, Marco, Wu, Yuh-Renn, Li, Chi-Kang, Weisbuch, Claude, and Mayboroda, Svitlana. Tue .
"Localization landscape theory of disorder in semiconductors. I. Theory and modeling". United States. https://doi.org/10.1103/physrevb.95.144204. https://www.osti.gov/servlets/purl/1429093.
@article{osti_1429093,
title = {Localization landscape theory of disorder in semiconductors. I. Theory and modeling},
author = {Filoche, Marcel and Piccardo, Marco and Wu, Yuh-Renn and Li, Chi-Kang and Weisbuch, Claude and Mayboroda, Svitlana},
abstractNote = {Here, we present here a model of carrier distribution and transport in semiconductor alloys accounting for quantum localization effects in disordered materials. This model is based on the recent development of a mathematical theory of quantum localization which introduces for each type of carrier a spatial function called localization landscape. These landscapes allow us to predict the localization regions of electron and hole quantum states, their corresponding energies, and the local densities of states. We show how the various outputs of these landscapes can be directly implemented into a drift-diffusion model of carrier transport and into the calculation of absorption/emission transitions. This creates a new computational model which accounts for disorder localization effects while also capturing two major effects of quantum mechanics, namely, the reduction of barrier height (tunneling effect) and the raising of energy ground states (quantum confinement effect), without having to solve the Schrödinger equation. Finally, this model is applied to several one-dimensional structures such as single quantum wells, ordered and disordered superlattices, or multiquantum wells, where comparisons with exact Schrödinger calculations demonstrate the excellent accuracy of the approximation provided by the landscape theory.},
doi = {10.1103/physrevb.95.144204},
journal = {Physical Review. B},
number = 14,
volume = 95,
place = {United States},
year = {Tue Apr 18 00:00:00 EDT 2017},
month = {Tue Apr 18 00:00:00 EDT 2017}
}
Web of Science
Figures / Tables:
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