Dr. Matthias Liero

Project member

Weierstrass Institute Berlin
Mohrenstrasse 39
10117 Berlin
+49 (0) 30 030 20372 542

Research focus

Partial Differential Equations
Semiconductor modeling
Semiconductor simulation

Projects as a project leader

  • SE18

    Models for heat and charge-carrier flow in organic electronics

    PD Dr. Annegret Glitzky / Dr. Matthias Liero

    Project heads: PD Dr. Annegret Glitzky / Dr. Matthias Liero
    Project members: Dr. Doan Duy Hai
    Duration: 01.06.2017 - 31.12.2018
    Status: running
    Located at: Weierstraß-Institut


    Organic materials lead to innovative electronic components with fine-tuned properties and promise more sustainable, eco-friendly electronic technologies. The potential for greater sustainability extends across the entire life cycle of organic electronics, beginning with the use of materials that are synthesized rather than mined from the earth, over low temperature production of devices, and ending with potentially biodegradable or recyclable devices. The aim of the project is to develop a thermodynamically correct energy-drift-diffusion model for organic semiconductor devices and its discretization and implementation in a simulation tool. First, the transport of charge carriers in the isothermal case will be described on the basis of a drift-diffusion model, taking the distinctive features of organic materials into account. Second, the model will be extended in a thermodynamically consistent way to include the self-heating and the resulting feedback as well. In both points, the aspects of modeling, analysis, numerics, and simulation are considered. There are several mathematical challenges regarding a drift-diffusion description of organic devices: In organic semiconductors, the energy levels are Gaussian-distributed with disorder parameter σ such that the densities of electrons and holes are described by the Gauss-Fermi integrals. This leads to a generalized Einstein relation and results in a nonlinear diffusion enhancement in the relation between drift and diffusion current. Moreover, the mobility functions for organic semiconductor materials with Gaussian disorder are increasing with respect to temperature, carrier density, and electrical field strength. The outcome of the project is a fundamental building block for a more efficient multi-scale and multi-physics description and simulation of organic devices.


Projects as a member

  • SE2

    Electrothermal modeling of large-area OLEDs

    PD Dr. Annegret Glitzky / Prof. Dr. Alexander Mielke

    Project heads: PD Dr. Annegret Glitzky / Prof. Dr. Alexander Mielke
    Project members: Dr. Matthias Liero
    Duration: -
    Status: completed
    Located at: Weierstraß-Institut


    The aim of the project D-SE2 is to find adequate spatially resolved PDE models for the electrothermal description of organic semiconductor devices describing self-heating and thermal switching phenomena. Moreover, the project intends to investigate their analytical properties, derive suitable numerical approximation schemes, and provide simulation results which can help to optimize large-area organic light emitting diodes.
    Click here for more information


Projects as a guest