Minimization of LDOS near ENZ nanoparticles: competition between radiative and non-radiative processes

Epsilon-near-zero (ENZ) materials also defined as near zero permittivity materials have attracted much attention for their peculiar physical features. In this work, we study analytically and numerically the emission decay rate of a hybrid system combining a vertical dipolar emitter in the presence of ENZ spherical Nano-particle. We examine the asymptotic behavior of the fluorescence decay rate in the near field of the ENZ spherical nanoparticle. We demonstrate the competition between the radiative and non-radiative channels. Our results show that a fundamental understanding of multiple contributions is critical to control the fluorescence decay rate in its molecular environment.