LambertW Function to Extract Physical Parameters of a Schottky Barrier Diode from Its I–V Characteristics

Safae Aazou,Matthew Schuette White,El Mahdi Assaid,Zouheir Sekkat,Daniel Ayuk Mbi Egbe,Martin Kaltenbrunner

doi:10.3390/en15051667

Abstract

In the current work, the exact analytical expression of the current–voltage characteristics, which are given in terms of the LambertW function, is used to extract the physical parameters of organic and inorganic Schottky barrier diodes (SBDs). The extraction is achieved by a variety of methods using the experimental I–V characteristics. The organic SBD is based on a Poly (3-hexylthiophene-2,5-diyle) conjugated polymer (P3HT) with Al contact, measured at 300 K. Regarding the inorganic SBDs, one is based on Iridium–Silicon Carbide (Ir–SiC), measured at 300 K, and the second diode is based on Gold–Gallium Arsenide (Au–GaAs), measured at 200 K. The numerical characteristics based on the physical parameters extracted by the presented methods are in good agreement with the experimental data. The determination coefficient of the modeling methods for the three SBDs is higher than 99.99%.

Highlights

Schottky barrier diodes are metal semiconductor contacts or organic-inorganic semiconductor contacts
To obtain a better understanding of the transport mechanisms and optical processes occurring in optoelectronic devices that may control the behaviour of the Schottky diode, the knowledge of the device’s physical parameters is a must [43]
The second method is based on analytical expression of the surface under the current-voltage characteristics

Summary

Introduction

Schottky barrier diodes are metal semiconductor contacts or organic-inorganic semiconductor contacts. SBDs are promising structures that are used in the majority of semiconductor components [1,2]. They are a rectifying contacts that appear when the work function of the p-type semiconductor is higher than the work function of the metal. A good Schottky contact gives rectifying current–voltage characteristics, which allows the current to flow in forward and be blocked in reverse. Despite their simple structure, SBDs are interesting in the design and manufacturing process. A large number of theoretical and experimental studies have been performed to extract SBDs’ physical

Methods

Results

Conclusion