Phonon-mediated spin-spin interaction - A general theory and application to diamond nitrogen vacancy centers
At a Glance
Section titled āAt a Glanceā| Metadata | Details |
|---|---|
| Publication Date | 2024-08-23 |
| Journal | Physical review. B./Physical review. B |
| Authors | Jotaro J. Nakane, Kosuke Tahara, Katsuhiro Kutsuki, Ai Yamakage |
| Institutions | Toyota Central Research and Development Laboratories (Japan), Nagoya University |
| Citations | 3 |
Abstract
Section titled āAbstractāInteraction between spins forms diverse classes of magnetic materials. The interaction can be carried out not only by electrons and photons but also by phonons. We consider a general symmetry-allowed spin-phonon Hamiltonian in ${C}_{3v}$ systems which consists of spins interacting with symmetric and antisymmetric lattice deformations. The derived model is used to calculate the phonon-mediated spin-spin interaction---the interaction is a quadrupole-quadrupole interaction. We first consider phonons in a homogeneous elastic medium, which leads to a spin-spin interaction with unphysical oscillations as a function of distance between the spins. We overcome this by extending the theory for lattice systems and confirm that the interaction strength decays as $1/{r}^{3}$. The effect of surface acoustic waves is also considered. The general theory is demonstrated for nitrogen vacancy centers in diamond as a prominent example. Furthermore, we provide an estimation of the magnitude of the spin-spin interaction and discuss the effect of the phonon-mediated spin-spin interaction on the energy level scheme of two interacting spins.