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Thermoelectric Properties of the Corbino Disk in Graphene
Thermopower and the Lorentz number for an edge-free (Corbino) graphene disk in the quantum Hall regime is calculated within the Landauer–Büttiker formalism. By varying the electrochemical potential, we find that amplitude of the Seebeck coefficient follows a modified Goldsmid–Sharp relation, with th...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10305522/ https://www.ncbi.nlm.nih.gov/pubmed/37374435 http://dx.doi.org/10.3390/ma16124250 |
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author | Rycerz, Adam Rycerz, Katarzyna Witkowski, Piotr |
author_facet | Rycerz, Adam Rycerz, Katarzyna Witkowski, Piotr |
author_sort | Rycerz, Adam |
collection | PubMed |
description | Thermopower and the Lorentz number for an edge-free (Corbino) graphene disk in the quantum Hall regime is calculated within the Landauer–Büttiker formalism. By varying the electrochemical potential, we find that amplitude of the Seebeck coefficient follows a modified Goldsmid–Sharp relation, with the energy gap defined by the interval between the zero and the first Landau levels in bulk graphene. An analogous relation for the Lorentz number is also determined. Thus, these thermoelectric properties are solely defined by the magnetic field, the temperature, the Fermi velocity in graphene, and fundamental constants including the electron charge, the Planck and Boltzmann constants, being independent of the geometric dimensions of the system. This suggests that the Corbino disk in graphene may operate as a thermoelectric thermometer, allowing to measure small temperature differences between two reservoirs, if the mean temperature magnetic field are known. |
format | Online Article Text |
id | pubmed-10305522 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-103055222023-06-29 Thermoelectric Properties of the Corbino Disk in Graphene Rycerz, Adam Rycerz, Katarzyna Witkowski, Piotr Materials (Basel) Article Thermopower and the Lorentz number for an edge-free (Corbino) graphene disk in the quantum Hall regime is calculated within the Landauer–Büttiker formalism. By varying the electrochemical potential, we find that amplitude of the Seebeck coefficient follows a modified Goldsmid–Sharp relation, with the energy gap defined by the interval between the zero and the first Landau levels in bulk graphene. An analogous relation for the Lorentz number is also determined. Thus, these thermoelectric properties are solely defined by the magnetic field, the temperature, the Fermi velocity in graphene, and fundamental constants including the electron charge, the Planck and Boltzmann constants, being independent of the geometric dimensions of the system. This suggests that the Corbino disk in graphene may operate as a thermoelectric thermometer, allowing to measure small temperature differences between two reservoirs, if the mean temperature magnetic field are known. MDPI 2023-06-08 /pmc/articles/PMC10305522/ /pubmed/37374435 http://dx.doi.org/10.3390/ma16124250 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Rycerz, Adam Rycerz, Katarzyna Witkowski, Piotr Thermoelectric Properties of the Corbino Disk in Graphene |
title | Thermoelectric Properties of the Corbino Disk in Graphene |
title_full | Thermoelectric Properties of the Corbino Disk in Graphene |
title_fullStr | Thermoelectric Properties of the Corbino Disk in Graphene |
title_full_unstemmed | Thermoelectric Properties of the Corbino Disk in Graphene |
title_short | Thermoelectric Properties of the Corbino Disk in Graphene |
title_sort | thermoelectric properties of the corbino disk in graphene |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10305522/ https://www.ncbi.nlm.nih.gov/pubmed/37374435 http://dx.doi.org/10.3390/ma16124250 |
work_keys_str_mv | AT rycerzadam thermoelectricpropertiesofthecorbinodiskingraphene AT rycerzkatarzyna thermoelectricpropertiesofthecorbinodiskingraphene AT witkowskipiotr thermoelectricpropertiesofthecorbinodiskingraphene |