2D isotropic negative permeability in a Λ-type three-level atomic system

A approach for two-dimensional(2D) negative permeability in a $\mathrm{\Lambda }$-type three-level atomic system interacting with a probe magnetic and the superposition of two orthogonal standing-wave fields is proposed. Through the theoretical analysis and numerical simulation, two equally and tunable peak maxima of negative magnetic responses are observed in the x-y plane, and around the peak maxima region the negative permeability is isotropic. A new avenue to 2D isotropic negative