Control led Ordering of Room -Temperature Magnetic Skyrmions in a Polar Van der Waals Magnet Peter Meisenheimer1 Hongrui Zhang1 David Raftrey23 Xiang Chen25 Ying -Ting

2025-05-06 0 0 3.74MB 26 页 10玖币
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Controlled Ordering of Room-Temperature Magnetic Skyrmions in a
Polar Van der Waals Magnet
Peter Meisenheimer1,*,, Hongrui Zhang1,*,, David Raftrey2,3,, Xiang Chen2,5,, Ying-Ting
Chan4, Rui Chen1, Reed Yalisove1, Mary C. Scott1,6, Jie Yao1, Weida Wu4, Peter
Fischer2,3, Robert J. Birgeneau2,5, Ramamoorthy Ramesh1,2,5
Authors contributed equally to this work
1 Department of Materials Science and Engineering, Univ. of California, Berkeley
2 Materials Sciences Division, Lawrence Berkeley National Laboratory
3 Department of Physics, Univ. of California, Santa Cruz
4 Department of Physics Rutgers University
5 Department of Physics Univ. of California, Berkeley
6 Molecular Foundry, Lawrence Berkeley National Laboratory
* Corresponding Authors; meisep@berkeley.edu, hongruizhang@berkeley.edu
Abstract:
Control and understanding of ensembles of skyrmions is important for realization of future
technologies. In particular, the order-disorder transition associated with the 2D lattice of
magnetic skyrmions can have significant implications for transport and other dynamic
functionalities. To date, skyrmion ensembles have been primarily studied in bulk crystals,
or as isolated skyrmions in thin film devices. Here, we investigate the condensation of the
skyrmion phase at room temperature and zero field in a polar, Van der Waals magnet.
We demonstrate that we can engineer an ordered skyrmion crystal through structural
confinement on the 𝜇m scale, showing control over this order-disorder transition on scales
relevant for device applications.
1. Introduction
Skyrmions are topologically nontrivial quasiparticles made up of a collection of rotating
magnetic spins[13] or, more recently, electric dipoles[4,5]. In many magnetic systems, this
stems from broken inversion symmetry in the crystal, resulting in a Dzyaloshinskii-Moriya
interaction (DMI), or at interfaces, leading to the Rashba effect, that can stabilize such
topologically nontrivial spin configurations[2,6]. Due to the topological protection from weak
fluctuations and the ability to manipulate them with a magnetic field or charge current,
magnetic skyrmions are of significant interest for next generation information
technologies[711]. Neuromorphic computing architectures based on skyrmions have been
proposed, using the diffusion of skyrmions and the resulting magnetoresistance to carry
out probabilistic computing[1214]. Additionally, magnetic skyrmions can be used to control
spins through the topological Hall effect, where an electron interacts with the Berry
curvature of the skyrmion to generate a parallel spin current[1517]. These phenomena,
both skyrmion motion and the topological Hall effect, are sensitive to the ground state of
the system, wherein the arrangement of the skyrmions can have significant
consequences on the resulting properties[6,1820]. A fundamental understanding and
pathways to control such ensembles of skyrmions is then important for realization of
advanced computational devices based on skyrmion kinetics or spin transport. In this vein,
the arrangement of magnetic skyrmions becomes exciting from perspectives of both
fundamental physics and device engineering.
Figure 1: Layered polar magnet. a The unit cell of FCGT, showing the AA’ stacking which breaks
inversion symmetry and allows for a nonzero DMI. b Hexagonally packed lattice of Néel skyrmions
which, if extended, shows the 2D solid phase. c In a real sample, these hexagonally packed domains
are broken up by topological defects. Lattice vectors are shown in pink, which are bent by the
presence of dislocations in the skyrmion lattice. The scale bar is 2 𝜇m.
Since their discovery, control of the shape[2124] and long range ordering[2527] of magnetic
skyrmion ensembles has been an open challenge, often explored through magnetic field,
temperature and thin film interactions. In two-dimensional (2D) systems, in the absence
of structural defects or kinetic limitations, the behavior of such 2D ensembles can be
described by the Hohenberg-Mermin-Wagner theorem, which states that true long-range,
crystalline order cannot exist due to logarithmic fluctuations of the order parameter. This
occurs because the energy associated with site displacement is small enough in 2D that
the increase in entropy associated with the formation of density fluctuations becomes
favorable[2830]. An extension of this is the KosterlitzThoulessHalperinNelsonYoung
(KTHNY) theory, which describes the melting of 2D objects with continuous symmetry
through the unbinding of topological defects due to thermal fluctuations[3133]. KTHNY
melting is distinct from 3D phase transitions in that it proceeds from an ordered solid to a
disordered liquid through a quasi-ordered hexatic phase that is present in 2D systems.
The solid-to-hexatic phase transition is driven by the dissociation of dislocation pairs;
when dislocations with opposite Burgers’ vectors are coupled, as in the 2D solid phase,
the topology of the lattice of skyrmions remains invariant and order is preserved. Upon
dissociation of the dislocations, long-range translational order is destroyed, but
orientational order is preserved. The hexatic-to-liquid phase transition is then driven by
thermal unbinding of these dislocations into disclinations, which destroys any remaining
orientational order[25,3135]. This quasi-long-range degree of crystallinity in the hexatic
phase distinguishes it from the liquid phase quantitatively, as the orientational correlation
function decays algebraically instead of exponentially (Sup Figure 1).
As a 2D arrangement of quasi-particles, one could envision that the ensemble of magnetic
skyrmions can be explained within the framework of the KTHNY theory. This has been
observed in certain cases in magnetic skyrmions[25], as well as in other 2D systems such
as colloids, liquid crystals, atomic monolayers, and superconducting vortices[3439]. The
presence of crystallographic and/or magnetic disorder, however, will interfere with the
ideal KTHNY behavior. Pinning sites that can affect the thermal motion and
(dis)association of dislocations and disclinations will prevent model KTHNY phase
transitions, and subsequently limit ordering to short-range[40,41]. In this way, phase
transitions will be suggestive of hexatic and ordered phases, but the ordered state may
not be realized on experimental timescales[27,42]. Understanding the emergence of long
range order in the FCGT skyrmion ensemble is the focus of this work.
It has been previously shown, using Lorentz transmission electron microscopy, that
Bloch-type magnetic skyrmions in bulk, single crystal Cu2OSeO3 can undergo KTHNY-
type melting with magnetic field[25]. Additionally, skyrmion ordering has been studied in
the ultrathin magnetic film Ta (5 nm)/Co20Fe60B20 (0.9 nm)/Ta (0.08 nm)/MgO (2 nm)/Ta
(5 nm), but KTHNY behavior was only alluded to and not fully realized[27]. The authors
claim that the increased size of orientational domains in the sample is indicative of a
transition to the hexatic phase, but the timescales required for the system to fully relax
kinetically are not reasonably achievable. With this as background, in this work, we study
the formation and solidification of Néel-type magnetic skyrmions in a novel layered, polar
magnetic metal, (Fe0.5Co0.5)GeTe2. We observe an exponential change in the order
parameters through the phase transition, suggesting that an ordered phase may be
achievable at room temperature, if the role of structural/chemical defects or kinetic
obstacles can be overcome. If the phase is frozen due to quenched disorder, there is
some energy associated with the pinning and we hypothesize that we can overcome it to
stabilize an ordered phase. Through spatial confinement of the device which imposes an
ordering director field, we are able to overcome this pinning energy and engineer an
ordered skyrmion crystal at room temperature, demonstrating control over this order-
disorder transition on scales relevant for device applications.
Here, (Fe0.5Co0.5)GeTe2 (FCGT) is studied as a polar magnetic metal that hosts stable
magnetic skyrmions at room temperature[43,44]. The parent material Fe5GeTe2 is a
centrosymmetric ferromagnet[45,46], but breaking of spatial inversion symmetry emerges
at 50% Co alloying, likely due to chemical ordering of the transition metal site and a switch
from ABC to AA’ stacking of the layers[44] (Figure 1a). Broken inversion symmetry gives
rise to a bulk Dzyalozhinski-Moriya interaction (DMI), allowing for stabilization of stripe
helimagnetic domains and/or a Néel skyrmion phase at room temperature[2]. Both the
stripe domains and skyrmions can be observed using magnetic force microscopy (MFM),
which probes the magnetostatic force on a scanning probe tip. Here, we use this
technique to study the quasi-static phase changes of the skyrmion ensemble as a function
of temperature and to evaluate our control over their ordering (Figure 1b,c).
2. Formation of topological defects
Figure 2: Temperature dependence of topological defects. a MFM images of the FCGT
skyrmion lattice at different temperatures. Scale bars are 2 𝜇m. b Voronoi polyhedra showing the
number of nearest neighbors for each skyrmion in the image. Green(purple) sites have more(less)
than 6 nearest neighbors. When the green and the purple sites neighbor one another, a
dislocation is formed from bound topological defects, which is indicative of the disordering in the
摘要:

ControlledOrderingofRoom-TemperatureMagneticSkyrmionsinaPolarVanderWaalsMagnetPeterMeisenheimer1,*,†,HongruiZhang1,*,†,DavidRaftrey2,3,†,XiangChen2,5,†,Ying-TingChan4,RuiChen1,ReedYalisove1,MaryC.Scott1,6,JieYao1,WeidaWu4,PeterFischer2,3,RobertJ.Birgeneau2,5,RamamoorthyRamesh1,2,5†Authorscontributed...

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