We experimentally study the spin dynamics in a gadolinium iron garnet single crystal using broadband ferromagnetic resonance. Close to the ferrimagnetic compensation temperature, we observe ultrastrong coupling of clockwise and counterclockwise magnon modes. The magnonmagnon coupling strength reaches almost 40% of the mode frequency and can be tuned by varying the direction of the external magnetic field. We theoretically explain the observed mode-coupling as arising from the broken rotational symmetry due to a weak magnetocrystalline anisotropy. The effect of this anisotropy is exchange-enhanced around the ferrimagnetic compensation point.
arXiv:1903.04330v2 [cond-mat.mtrl-sci] 23 Sep 2019The strong and ultrastrong interaction of light and matter is foundational for circuit quantum electrodynamics [1][2][3]. The realizations of strong spin-photon [4][5][6] and magnonphoton [7][8][9][10][11][12] coupling have established magnetic systems as viable platforms for frequency up-conversion [13,14] and quantum state storage [15]. Antiferromagnets and ferrimagnets further host multiple magnon modes. Their coupling allows for coherent control and engineering of spin dynamics for applications in magnonics [16,17] and antiferromagnetic spintronics [18,19].Recently, it has been shown [20][21][22] that the weak interlayer exchange interaction between two magnetic materials can cause magnon-magnon coupling. However, the much stronger intrinsic exchange has not yet been leveraged for coupling phenomena. While the THz-frequency dynamics in antiferromagnets is challenging to address experimentally [23], the sublattice magnetizations in compensated ferrimagnets can be tuned to achieve GHzfrequency quasi-antiferromagnetic dynamics. Here, we report the experimental observation of ultrastrong exchange-enhanced magnon-magnon coupling in a compensated ferrimagnet with the coupling rate reaching up to 37% of the characteristic magnon frequency. We furthermore demonstrate that the coupling strength can be continuously tuned from the ultrastrong to the weak regime.We investigate spin dynamics, or equivalently the magnon modes, in a compensated, effectively two-sublattice ferrimagnet in the collinear state. Around its compensation temperature, this system can be viewed as a "quasi-antiferromagnet" due to its nearly identical sublattice magnetizations M A M B . Figure 1 schematically depicts the typical spatially uniform spin dynamics eigenmodes of the system [25]. Within the classical description, these become clockwise (cw) and counterclockwise (ccw) precessing modes which correspond to spin-down and spin-up magnons, respectively, in the quantum picture. The key physics underlying our experiments is the tunable exchange-enhanced coupling, and the concomitant hybridization, between theses two modes. The essential ingredients -mode coupling and exchange-enhancement -are both intuitively understood within the quantum picture as follows. First, due to their opposite spins, a spin-up magnon can only be coupled to its spin-down counterpart by ...