Thermal near-field energy density and local density of states in topological one-dimensional Su-Schrieffer-Heeger chains and two-dimensional Su-Schrieffer-Heeger lattices of plasmonic nanoparticles

We derive a general expression for electric and magnetic part of the near-field energy density $N$ dipoles temperatures $T_1, \ldots, T_N$ immersed in background field having different temperature $T_b$. In contrast to former expressions this inclusion allows determining heated or cooled isotropic dipolar objects within an arbitrary environment which is thermalized at temperature. Furthermore, we show how related local states. use study enhanced edges corners 1D Su-Schrieffer-Heeger chains 2D lattices plasmonic InSb nanoparticles when phase transition from topological trivial non-trivial state made. discuss robustness these modes adding defects possibility measure edge corner modes.