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Thermoelectric Effects In Self-Similar Multibarrier Structure Based On Monolayer Graphene

Author

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  • M. MINIYA

    (Centro de Investigación en Ingenierías y Ciencias Aplicadas, Universidad Autónoma Del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62209 Cuernavaca, Morelos, Mexico)

  • O. OUBRAM

    (��Facultad de Ciencias Químicas e Ingeniería, Universidad Autónoma Del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62209 Cuernavaca, Morelos, Mexico)

  • A. G. REYNAUD-MORALES

    (Centro de Investigación en Ingenierías y Ciencias Aplicadas, Universidad Autónoma Del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62209 Cuernavaca, Morelos, Mexico)

  • I. RODRÃ GUEZ-VARGAS

    (��Unidad Académica de Ciencia y Tecnología de la Luz y la Materia, Universidad Autónoma de Zacatecas, Carretera Zacatecas-Guadalajara Km. 6, Ejido La Escondida, 98160 Zacatecas, Zac., Mexico)

  • L. M. GAGGERO-SAGER

    (Centro de Investigación en Ingenierías y Ciencias Aplicadas, Universidad Autónoma Del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62209 Cuernavaca, Morelos, Mexico)

Abstract

Thermoelectric effects have attracted wide attention in recent years from physicists and engineers. In this work, we explore the self-similar patterns in the thermoelectric effects of monolayer graphene-based structures, by using the quantum relativistic Dirac equation. The transfer matrix method has been used to calculate the transmission coefficient. The Landauer–Büttiker formalism and the Cutler–Mott formula were used to calculate the conductance, the Seebeck coefficient, and the power factor. We find self-similar behavior and the scale factors between generations in transport and thermoelectric properties. Furthermore, we implement these scale invariances as general scaling rules. We present a new analytical demonstration of self-similarity in the Seebeck coefficient. These findings can open outstanding perspectives for experimentalists to develop thermoelectric devices.

Suggested Citation

  • M. Miniya & O. Oubram & A. G. Reynaud-Morales & I. Rodrã Guez-Vargas & L. M. Gaggero-Sager, 2022. "Thermoelectric Effects In Self-Similar Multibarrier Structure Based On Monolayer Graphene," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-13, May.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:03:n:s0218348x22500682
    DOI: 10.1142/S0218348X22500682
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