{"title":"Enhanced thermoelectric performance of graphene p−n junction nanoribbon","authors":"Ting-Ting Song, Ning-Xuan Yang, Rui Wang, Hui Liao, Chun-Yan Song, Xue-Yan Cheng","doi":"10.1016/j.physe.2024.116057","DOIUrl":null,"url":null,"abstract":"<div><p>We study the thermoelectric transport of the graphene <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction under the perpendicular magnetic field. The Seebeck coefficient <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, the thermoelectrical figure of merit <span><math><mrow><mi>Z</mi><mi>T</mi></mrow></math></span> and the power-generation efficiency <span><math><mi>η</mi></math></span> are obtained by the Landauer–Büttiker formula combined with the nonequilibrium Green’s function method. Compared to the perfect graphene system, the graphene <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction has a zero-transport coefficient plateau (or the transport gap). The sudden jump of the transmission coefficient near the transport gap edge lead to very larger peaks of the <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and <span><math><mrow><mi>Z</mi><mi>T</mi></mrow></math></span>. Especially in the presence of a magnetic field, the perpendicular magnetic field applied to the <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction strongly suppresses the conductance, and enhances the Seebeck coefficient <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and increases the <span><math><mrow><mi>Z</mi><mi>T</mi></mrow></math></span>. Moreover, it is found that the Seebeck coefficient <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and <span><math><mrow><mi>Z</mi><mi>T</mi></mrow></math></span> are strongly dependent on the applied perpendicular magnetic field <span><math><mi>ϕ</mi></math></span>, the potential drop in the center region of the <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction and the center region length <span><math><mi>M</mi></math></span> of the <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction. This means that the thermoelectric performance of the graphene <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction can be easily regulated by changing the magnetic field and the center region lengths of the <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction. Finally, the power-generation efficiency <span><math><mi>η</mi></math></span> of the graphene <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction as a power generator is calculated. It is found that when the Carnot power-generation efficiency is greater than 30%, <span><math><mrow><mi>Z</mi><msub><mrow><mi>T</mi></mrow><mrow><mi>M</mi></mrow></msub></mrow></math></span> can still be greater than 10. The large <span><math><mrow><mi>Z</mi><msub><mrow><mi>T</mi></mrow><mrow><mi>M</mi></mrow></msub></mrow></math></span> value also maintains a high power-generation efficiency, which indicates that the graphene <span><math><mrow><mi>p</mi><mo>−</mo><mi>n</mi></mrow></math></span> junction has potential applications as thermoelectric devices.</p></div>","PeriodicalId":20181,"journal":{"name":"Physica E-low-dimensional Systems & Nanostructures","volume":"164 ","pages":"Article 116057"},"PeriodicalIF":2.9000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica E-low-dimensional Systems & Nanostructures","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1386947724001619","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"NANOSCIENCE & NANOTECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
We study the thermoelectric transport of the graphene junction under the perpendicular magnetic field. The Seebeck coefficient , the thermoelectrical figure of merit and the power-generation efficiency are obtained by the Landauer–Büttiker formula combined with the nonequilibrium Green’s function method. Compared to the perfect graphene system, the graphene junction has a zero-transport coefficient plateau (or the transport gap). The sudden jump of the transmission coefficient near the transport gap edge lead to very larger peaks of the and . Especially in the presence of a magnetic field, the perpendicular magnetic field applied to the junction strongly suppresses the conductance, and enhances the Seebeck coefficient and increases the . Moreover, it is found that the Seebeck coefficient and are strongly dependent on the applied perpendicular magnetic field , the potential drop in the center region of the junction and the center region length of the junction. This means that the thermoelectric performance of the graphene junction can be easily regulated by changing the magnetic field and the center region lengths of the junction. Finally, the power-generation efficiency of the graphene junction as a power generator is calculated. It is found that when the Carnot power-generation efficiency is greater than 30%, can still be greater than 10. The large value also maintains a high power-generation efficiency, which indicates that the graphene junction has potential applications as thermoelectric devices.
期刊介绍:
Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals.
Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena.
Keywords:
• topological insulators/superconductors, majorana fermions, Wyel semimetals;
• quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems;
• layered superconductivity, low dimensional systems with superconducting proximity effect;
• 2D materials such as transition metal dichalcogenides;
• oxide heterostructures including ZnO, SrTiO3 etc;
• carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.)
• quantum wells and superlattices;
• quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect;
• optical- and phonons-related phenomena;
• magnetic-semiconductor structures;
• charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling;
• ultra-fast nonlinear optical phenomena;
• novel devices and applications (such as high performance sensor, solar cell, etc);
• novel growth and fabrication techniques for nanostructures