ResearchArticle Efficiency at Maximum Power in a Parallel Connected Two Quantum Dots Heat Engine Tibebe Birhanu , 1 Yigermal Bassie , 2 Yoseph Abebe , 3 and Mulugeta Bekele 4 1 Department of Physics, University of Gondar, Gondar, Ethiopia 2 Department of Physics, Wolkite University, Wolkite, Ethiopia 3 Department of Physics, Debre Markos University, Debre Markos, Ethiopia 4 Department of Physics, Addis Ababa University, Addis Ababa, Ethiopia Correspondence should be addressed to Tibebe Birhanu; tibebebirhanu@gmail.com Received 10 February 2023; Revised 17 May 2023; Accepted 29 May 2023; Published 3 June 2023 Academic Editor: Natt Makul Copyright © 2023 Tibebe Birhanu et al. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we proposed a model in which a single level of two quantum dots is connected in parallel and embedded between two leads with diferent temperatures and chemical potentials. Te temperature and chemical potential gradient help the electron fow cyclically and act as a heat engine. We explore the thermodynamic properties of the model such as heat fux and power as a function of dot energy. We also carried out analytical and numerical solutions for efciency at maximum power of the thermoelectric engine. Te resulting efciency of our engine agrees with the Curzon–Ahlborn expression up to quadratic terms in Carnot efciency. 1.Introduction Te concept of thermodynamics has been developed from the analysis of heat engines’ performance. Carnot invented an idealized mathematical model of heat engines called the Carnot cycle and proved that there exists a maximum ef• fciency of all heat engines, which is given by Carnot ef• ciency. Tis efciency is a central cornerstone of thermodynamics. It states that a reversible Carnot engine’s efciency attains the maximum possible work for a given temperature of the hot (T h ) and cold (T c ) reservoirs but generates zero power because it is an infnitely slow oper• ation. Te efciency (η c � 1 − T c /T h ) of the Carnot cycle is the upper bound on the efciency at which real heat engines are unrealistically high. Te practical implications are more limited since the upper limit η c is only reached for reversible engine. One of the important questions is what will be the efciency at maximum power of a system that operates in fnite time. In a groundbreaking work, Curzon and Ahlborn [1] obtained this efciency for the Carnot engine by optimizing the Carnot cycle with respect to power rather than efciency, which is given by Curzon–Ahlborn ef• ciency, η CA η CA � 1 − �� T c T h  � η c 2 + η 2 c 8 + ϑη 3 c . (1) Tis efciency is used to seek a more realistic upper bound on the efciency of a heat engine in the endor• eversible approximation [1, 2] (taking into account the dissipation only in the heat transfer process). Currently, it has been shown that the Curzon–Ahlborn efciency is an exact consequence of linear irreversible thermodynamics when operating under conditions of strong coupling be• tween the heat fux and the work [3–5]. Te value of 1/2 for the linear coefcient in equation (1) is therefore universal for such systems. Furthermore, the diverse system in nature has been found investigating efciency at maximum power such as Brownian particle undergoing a Carnot cycle through the Hindawi Journal of Engineering Volume 2023, Article ID 6665740, 7 pages https://doi.org/10.1155/2023/6665740