Electron Thermionic Emission from Graphene and a Thermionic Energy Converter

TL;DR

This paper models electron thermionic emission from single-layer graphene, deriving an analytical formula that predicts emission behavior and potential for efficient thermionic energy converters at lower temperatures.

Contribution

It introduces a new analytical model for graphene thermionic emission, accounting for massless Fermion behavior, and explores its application in designing more efficient thermionic energy converters.

Findings

Predicted intrinsic work function of graphene is about 4.514 eV.

Proposed graphene cathode TIC can operate at around 900 K, lower than metal-based TICs.

Estimated efficiency of the proposed TIC is approximately 45%.

Abstract

In this paper, we propose a model to investigate the electron thermionic emission from a single-layer graphene (ignoring the effects of substrate) and to explore its application as the emitter of thermionic energy convertor (TIC). An analytical formula has been derived, which is a function of temperature, work function and Fermi energy level. The formula is significantly different from the traditional Richardson-Dushman (RD) law for which it is independent of mass to account for the supply function of the electrons in the graphene behaving like massless Fermion quasiparticles. By comparing with a recent experiment [Kaili Jiang et al., Nano Research 7, 553 (2014)] measuring electron thermionic emission from a suspended single layer graphene, our model predicts that the intrinsic work function of a single-layer graphene is about 4.514 eV with a Fermi energy level of 0.083 eV. For a given work function, a new scaling of $T^{3}$ is predicted, which is different from the traditional RD scaling of $T^2$. If the work function of the graphene is lowered to 2.5 to 3 eV, and the Fermi energy level is increased to 0.8 to 0.9 eV, it is possible to design a graphene cathode based TIC operating at around 900 K or lower, as compared with the metal-based cathode TIC (operating at about 1500 K). With a graphene based cathode (work function = 4.514 eV) at 900 K, and a metallic based anode (work function = 2.5 eV) like LaB$_6$ at 425 K, the efficiency of our proposed-TIC is about 45$\%$