A Simulation Model of Resistive Switching in Electrochemical Metallization Memory Cells
S. Menzel
1,3
, B. Klopstra
1,3
, C. Kügeler
2,3
, U. Böttger
1,3
, G. Staikov
2,3
and R. Waser
1,2,3
1
Institut für Werkstoffe der Elektrotechnik II, RWTH Aachen, Aachen, 52074, Germany
2
Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, Jülich, 52425, Germany
3
JARA - Fundamentals of Future Information Technology
ABSTRACT
In the present study a simulation model for set operation in electrochemical metallization
memory cells was developed to obtain a better understanding of the physical processes involved
in resistive switching. The set operation based on filamentary growth within a solid electrolyte
was simulated using continuity equation to address the electric properties and a level set method
to track the boundary of the filament. FEM simulations were performed using Comsol
Multiphysics. The results showed good agreement to experimentally observed I/V - curves for set
operation. Furthermore, it could be demonstrated that only one filament is responsible for set
operation. Based on this FEM model a simplified resistor based 1D model was developed,
showing good agreement to each other. As a refinement, Butler-Vollmer boundary conditions
were introduced. This nonlinearity led to an exponential dependency between switching time and
switching voltage, which is also observed in experiment.
INTRODUCTION
The Electrochemical Metallization Cell (ECM) is a promising candidate for future non-
volatile random access memory overcoming the limits of DRAM (volatile) and Flash (slow). The
storage principle is based on change of cell resistance induced by electro-chemical driven growth
and rupture of a copper or silver filament in an insulating matrix. This kind of switching was
found in several materials such as AgGeSe, CuGeS, SiO
2
, WO
3
and MSQ [1-4].
In the present study modeling is based on a copper (Cu) filament without loss of
generality. During write (set) operation Cu is oxidized at the corresponding electrode and Cu
ions are driven out of the Cu anode into the insulating matrix due to the applied field, whereas
the insulating matrix serves as solid electrolyte. The Cu ions migrate towards the cathode. At the
cathode electrochemical reduction occurs, and deposition of metallic Cu takes place. Fast drift
paths in the solid electrolyte matrix or preferred nucleation sites (surface inhomogenities) at the
boundary lead to filamentary growth. This growing Cu filament finally reaches the anode and
switches the device to a low resistance state. In the present study modeling is based on a Cu
filament without loss of generality.
THEORY
FEM Simulation Model
A simulation model for set operation needs to account for the electrical properties, the Cu
ion migration as well as filamentary growth. To simplify the model the dissolution of the anode
is neglected, since the active volume of the anode is large compared to the volume of the
filament. In addition Cu ion concentration gradients within the solid electrolyte matrix are
Mater. Res. Soc. Symp. Proc. Vol. 1160 © 2009 Materials Research Society 1160-H09-03