English

Valley-Chern Effect with LC-Resonators: A Modular Platform

Mesoscale and Nanoscale Physics 2019-05-01 v2

Abstract

The valley Chern-effect is theoretically demonstrated with a novel alternating current circuitry, where closed-loop LC-resonators sitting at the nodes of a honeycomb lattice are inductively coupled along the bonds. This enables us to generate a dynamical matrix which copies identically the Hamiltonian driving the electrons in graphene. The valley-Chern effect is generated by splitting the inversion symmetry of the lattice. After a detailed study of the Berry curvature landscape and of the localization of the interface modes, we derive an optimal configuration of the circuit. Furthermore, we show that Q-factors as high as 10410^4 can be achieved with reasonable materials and configurations.

Cite

@article{arxiv.1810.11578,
  title  = {Valley-Chern Effect with LC-Resonators: A Modular Platform},
  author = {Yishai Eisenberg and Yafis Barlas and Emil Prodan},
  journal= {arXiv preprint arXiv:1810.11578},
  year   = {2019}
}
R2 v1 2026-06-23T04:54:20.672Z