Universality and quantization of the power to heat ratio in nano-granular systems

TL;DR

This paper demonstrates that in weakly coupled nano-granular systems, the power to heat ratio is universally quantized and depends solely on the number of grains, revealing a geometric protection mechanism.

Contribution

It provides an exact solution for heat dissipation in granular nanosystems and uncovers the universal quantization of the heat-to-power ratio based on system geometry.

Findings

Power to heat ratio is quantized and universal.

The ratio depends only on the number of grains.

The quantization is geometrically protected.

Abstract

We study heating and dissipation effects in granular nanosystems in the regime of weak coupling between the grains. We focus on the cotunneling regime and solve the heat-dissipation problem in an array of grains exactly. We show that the power to heat ratio has a universal quantized value, which is geometrically protected: it depends only on the number of grains.