# Hyperbolic Phonon Polariton Electroluminescence as an Electronic Cooling Pathway

## TL;DR

This paper explores how hyperbolic phonon polariton electroluminescence can serve as an efficient electronic cooling pathway in 2D material heterostructures, especially graphene-hBN, through enhanced radiative channels and out-of-equilibrium fluctuations.

## Contribution

It introduces the concept of electroluminescent cooling via hyperbolic electromagnetic modes in 2D materials, highlighting the role of Zener tunneling in graphene for efficient cooling.

## Key findings

- Electroluminescence cooling powers are nine orders of magnitude larger than conventional LEDs.
- Hyperbolic dispersion enables superPlanckian thermal emission in 2D heterostructures.
- Experimental evidence shows prominent cooling in graphene-on-hBN transistors under high bias.

## Abstract

Engineering of cooling mechanism is of primary importance for the development of nanoelectronics. Whereas radiation cooling is rather inefficient in nowadays electronic devices, the strong anisotropy of 2D materials allows for enhanced efficiency because their hyperbolic electromagnetic dispersion near phonon resonances allows them to sustain much larger ($\sim 10^5$) number of radiating channels. In this review, we address radiation cooling in 2D materials, specifically graphene hexagonal boron nitride (hBN) heterostructures. We present the hyperbolic dispersion of electromagnetic waves due to anisotropy, and describe how the spontaneous fluctuations of current in a 2D electronic channel can radiate thermal energy in its hyperbolic surrounding medium. We show that both the regime of (i) thermal current fluctuations and (ii) out-of-equilibrium current fluctuations can be described within the framework of transmission line theory leading to (i) superPlanckian thermal emission and (ii) electroluminescent cooling. We discuss a recent experimental investigation on graphene-on-hBN transistors using electronic noise thermometry. In a high mobility semimetal like graphene at large bias, a steady-state out-of-equilibrium situation is caused by the constant Zener tunneling of electrons opening a route for electroluminescence of hyperbolic electromagnetic modes. Experiments reveal that, compared to superPlanckian thermal emission, electroluminescence cooling is particularly prominent once the Zener tunneling regime is reached: observed cooling powers are nine orders of magnitude larger than in conventional LEDs.