J Comput Electron (2008) 7: 454–457
DOI 10.1007/s10825-007-0157-3
Field-coupled computing in magnetic multilayers
György Csaba · Paolo Lugli · Markus Becherer ·
Doris Schmitt-Landsiedel · Wolfgang Porod
Published online: 12 December 2007
© Springer Science+Business Media LLC 2007
Abstract This paper presents a computational study of ion-
beam patterned cobalt-platinum multilayers, which could be
used for field-coupled computing. We use micromagnetic
simulations to reproduce measured hysteresis curves. This
parameterized micromagnetic simulator then will be used
for simulating interacting magnetic dots. We demonstrate
how logic gates can be built from such coupled dots. We
also show how electrical wires—placed beneath or above the
magnetic dots—can provide a magnetic field, which propa-
gates the magnetic signals.
Keywords Magnetic logic devices · Field-coupled
computing · Micromagnetic simulation · Cobalt/platinum
multilayers · FIB patterning · Clocking of field-coupled
devices
1 Introduction
Magnetic field-coupling (also known as Magnetic Quantum-
dot Cellular Automata, M-QCA) is an emerging paradigm
G. Csaba ( ) · P. Lugli
Institute for Nanoelectronics, Technical University of Munich,
80333 Munich, Germany
e-mail: csaba@tum.de
M. Becherer · D. Schmitt-Landsiedel
Institute for Technical Electronics, Technical University
of Munich, 80333 Munich, Germany
D. Schmitt-Landsiedel
e-mail: dsl@tum.de
W. Porod
Center for Nano Science and Technology, University
of Notre Dame, Notre Dame, IN 46556, USA
e-mail: porod@nd.edu
of nanoscale computing, where information is propagated
and processed by the dipole interaction of single-domain
magnetic particles [1]. The feasibility of this concept has
recently been demonstrated experimentally by a magnetic
majority gate, fabricated from Permalloy dots [2].
We have shown theoretically that magnetic field-coupled
circuits can achieve fast and densely integrated computing
which dissipates only few kT power per switching [3, 4].
Additionally, field-pumped magnetic logic devices show
power gain. Overall, magnetic logic devices are functionally
equivalent to transistor-based circuits and in some applica-
tions (which are storage-intensive, require low power, etc.),
they can substitute or complement CMOS-based circuitry.
Magnetic logic devices so far have been fabricated by lift-
off, following electron-beam lithography [2]. Such nano-
magnets show relatively large switching field variations
from dot to dot. It turned out to be challenging to realize
a larger-scale magnetic computing device as the dot to dot
variations of magnetic properties frustrates magnetic order-
ing and hinders the propagation of magnetic signals.
Cobalt-platinum multilayers were a subject of extensive
research in the past decades [5]. They show perpendicular
magnetic anisotropy (PMA, i.e. their magnetization prefers
an out of plane orientation) and they can be patterned into
dots by focused ion beams (FIB) without actually remov-
ing material from the surface. The PMA is advantageous for
field-coupled architectures [6] and FIB patterning produces
dots which show well-defined magnetic properties.
The goal of this paper is to use micromagnetic simula-
tions to asses the feasibility of a field-coupled computing
device based on FIB-defined nanomagnets. The next section
briefly describes the structures we fabricated and introduces
the simulation framework. In Sect. 3 we show, how a stan-
dard micromagnetic simulation code (OOMMF) can be pa-
rameterized for the simulation of magnetic multilayers. Sim-