Enhanced Magnon-Photon Coupling at the Angular Momentum
Compensation Point of Ferrimagnets
Jaechul Shim ,
1,2
Seok-Jong Kim ,
3
Se Kwon Kim ,
4,5,*
and Kyung-Jin Lee
1,3,†
1
Department of Materials Science and Engineering, Korea University, Seoul 02841, Korea
2
Semiconductor R&D Center, Samsung Electronics Co. Ltd., Hwaseong, Gyeonggi 18448, Korea
3
KU-KIST Graduate School of Converging Science and Technology, Korea University, Seoul 02841, Korea
4
Department of Physics, KAIST, Daejeon 34141, Korea
5
Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA
(Received 6 March 2020; accepted 18 June 2020; published 10 July 2020)
We theoretically show that the coupling between magnons in an antiferromagnetically coupled
ferrimagnet and microwave photons in a cavity is largely enhanced at the angular momentum compensation
point (T
A
) when T
A
is distinct from the magnetization compensation point. The origin of the enhanced
magnon-photon coupling at T
A
is identified as the antiferromagnetic spin dynamics combined with a finite
magnetization. Moreover, we show that strong magnon-photon coupling can be achieved at high excitation
frequency in a ferrimagnet, which is challenging to achieve for a ferromagnet due to low magnon frequency
and for an antiferromagnet due to weak magnon-photon coupling. Our results will invigorate research on
magnon-photon coupling by proposing ferrimagnets as a versatile platform that offers advantages of both
ferromagnets and antiferromagnets.
DOI: 10.1103/PhysRevLett.125.027205
Introduction.—Quantum information technology [1]
involves process, storage, transmission, and transduction
of quantum information. Several physical systems have
been examined to fulfill the functional tasks [2–5]. By
selectively combining proper physical platforms, various
hybrid quantum systems have also been designed to build a
multifunctional quantum information processing system
[6,7]. Photons in a microwave cavity mediate qubits from
one physical constituent to another [6]. For storage and
transduction of qubits, the spin ensemble [8,9] is an
adequate candidate because spins allow longer coherence
time than other physical quantities due to limited dissipa-
tive channel to environment.
A strong coupling of the spin ensemble to other compo-
nents in hybrid quantum system is essential for suppressing
the loss of quantum information during the process. As the
coupling strength is enhanced by a factor of
ffiffiffiffi
N
p
, where N is
the spin density [10], a strong magnon-photon coupling in
magnetic materials was theoretically predicted [11] and
experimentally confirmed [12], leading to recent intensive
studies on magnon-photon coupling in magnetic materials
with various aspects [13–34], including single magnon
detection [18], magnon dressed state [23], spin-information
transfer between two magnets through cavity photons
[17,24], and attractive level crossing [26–28,31].
For widespread application, not only strong magnon-
photon coupling but also high excitation frequency (i.e.,
high magnon frequency) is required. In particular, the latter
allows us to expand the frequency window where the trans-
duction of quantum information occurs. Most studies so far
have focused on the coupling between ferromagnetic mag-
nons and microwave photons. We note that although yttrium
iron garnet (YIG), a ferrimagnetic insulator with antiferro-
magnetically coupled Fe moments, has been widely used for
the magnon-photon coupling, its magnon dynamics is well
described by ferromagnetic magnon theories [12–31] because
it is far from the compensation condition. In this respect, YIG
can be considered as a ferromagnet (FM) with a reduced
moment. For ferromagnets, the magnon-photon coupling
strength is limited below a few hundred megahertz at the
magnon frequency in gigahertz ranges [12–31]. On the other
hand, recent studies found that antiferromagnetic magnons
also couple to microwave photons [32–34]. For antiferro-
magnets (AFMs), the magnon frequency is much higher than
for ferromagnets because of the manifestation of antiferro-
magnetic exchange interaction [35–37]. The magnon-photon
coupling is, however, much weaker for antiferromagnets than
for ferromagnets [34] because of net zero magnetic moment
in equilibrium. Therefore, it has remained challenging to
achieve both high excitation frequency and strong magnon-
photon coupling in ferromagnets or antiferromagnets.
In this Letter, we theoretically show that this challenge
can be overcome by employing a class of ferrimagnets
(FIMs). The necessary condition is that two inequivalent
spin moments with different Land´ e-g factors are coupled
antiferromagnetically, which is satisfied in some rare-earth
(RE) transition-metal (TM) ferrimagnets. This condition
allows for a finite net magnetic moment, thus a finite
Zeeman coupling, at the angular momentum compensation
point T
A
where the net spin density vanishes. The nature of
PHYSICAL REVIEW LETTERS 125, 027205 (2020)
0031-9007=20=125(2)=027205(6) 027205-1 © 2020 American Physical Society