Electrothermal Simulation of Large-Area Semiconductor Devices
DOI:
https://doi.org/10.21152/1750-9548.11.2.127Abstract
The lateral charge transport in thin-film semiconductor devices is affected by the sheet resistance of the various layers. This may lead to a non-uniform current distribution across a large-area device resulting in inhomogeneous luminance, for example, as observed in organic light-emitting diodes (Neyts et al., 2006). The resistive loss in electrical energy is converted into thermal energy via Joule heating, which results in a temperature increase inside the device. On the other hand, the charge transport properties of the device materials are also temperature-dependent, such that we are facing a two-way coupled electrothermal problem. It has been demonstrated that adding thermal effects to an electrical model significantly changes the results (Slawinski et al., 2011). We present a mathematical model for the steady-state distribution of the electric potential and of the temperature across one electrode of a large-area semiconductor device, as well as numerical solutions obtained using the finite element method.
References
Fluxim [Internet]. Feusisberg, Switzerland: Fluxim AG; 2007 [cited 2017 Jan 31]. Available from: http://www.fluxim.com
Neyts K, Marescaux M, Nieto AU, Elschner A, Lövenich W, Fehse K, et al. Inhomogeneous luminance in organic light emitting diodes related to electrode resistivity. J Appl Phys, 2006. 100 (11): 114513. https://doi.org/10.1063/1.2390552
Slawinski M, Bertram D, Heuken M, Kalisch H, Vescan A. Electrothermal characterization of large-area light-emitting diodes employing finite-element simulation. Org Electron, 2011. 12 (8): 1399-1405. https://doi.org/10.1016/j.orgel.2011.05.010
Wiedemann G, Franz R. Über die Wärme-Leitungsfähigkeit der Metalle. Ann Phys, 1853. 165 (8): 497-531. https://doi.org/10.1002/andp.18531650802
Fischer A, Pahner P, Lüssem B, Leo K, Scholz R, Koprucki T, et al. Self-Heating, Bistability, and Thermal Switching in Organic Semiconductors. Phys Rev Lett, 2013. 110 (12): 126601. https://doi.org/10.1103/physrevlett.110.126601
Steinhart JS, Hart SR. Calibration curves for thermistors. Deep-Sea Res Oceanogr Abstr, 1968. 15(4): 497-503. https://doi.org/10.1016/0011-7471(68)90057-0
Martin SJ, Lupton JM, Samuel IDW, Walker AB. Modelling temperature-dependent current-voltage characteristics of an MEH-PPV organic light emitting device. J Phys Condens Matter, 2002. 14 (42): 9925-9933. https://doi.org/10.1088/0953-8984/14/42/307
Brenner SC, Scott LR. The Mathematical Theory of Finite Element Methods. Springer; 2008.
Grätsch T, Bathe KJ. A posteriori error estimation techniques in practical finite element analysis. Comput Struct, 2005. 83 (4-5): 235-265. https://doi.org/10.1016/j.compstruc.2004.08.011
Published
How to Cite
Issue
Section
Copyright (c) 2017 C Kirsch, S Altazin, R Hiestand, T Beierlein, R Ferrini, T Offermans, L Penninck, B Ruhstaller

This work is licensed under a Creative Commons Attribution 4.0 International License.