Pseudospin-orbit coupling and non-Hermitian effects in the quantum geometric tensor of a plasmonic lattice

Javier Cuerda, Jani M. Taskinen, Nicki Källman, Leo Grabitz, Päivi Törmä

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We theoretically predict the full quantum geometric tensor, comprising the quantum metric and the Berry curvature, for a square lattice of plasmonic nanoparticles. The gold nanoparticles act as dipole or multipole antenna radiatively coupled over long distances. The photonic-plasmonic eigenfunctions and energies of the system depend on momentum and polarization (pseudospin), and their topological properties are encoded in the quantum geometric tensor. By T-matrix numerical simulations, we identify a TE-TM band splitting at the diagonals of the first Brillouin zone, that is not predicted by the empty lattice band structure nor by the highly symmetric nature of the system. Further, we find quantum metric around these regions of the reciprocal space, and even a nonzero Berry curvature despite the trivial lattice geometry and absence of magnetic field. We show that this nonzero Berry curvature arises exclusively from non-Hermitian effects, which break the time-reversal symmetry. The quantum metric, in contrast, originates from a pseudospin-orbit coupling given by the polarization and directional dependence of the radiation.
Original languageEnglish
Article number165439
JournalPhysical Review B
Issue number16
Publication statusPublished - 25 Apr 2024
MoE publication typeA1 Journal article-refereed


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