Topological charge Fano effect in multi-Weyl semimetals

W. C. Silva; W. N. Mizobata; J. E. Sanches; L. S. Ricco; I. A. Shelykh; M. De Souza; M. S. Figueira; E. Vernek; A. C. Seridonio

doi:10.1103/PhysRevB.105.235135

Topological charge Fano effect in multi-Weyl semimetals

W. C. Silva, W. N. Mizobata, J. E. Sanches, L. S. Ricco, I. A. Shelykh, M. De Souza, M. S. Figueira, E. Vernek, A. C. Seridonio^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We theoretically analyze the Fano interference in a single impurity multi-Weyl semimetal hybrid system and show the emergence of the topological charge Fano effect in the bulk local density of states. In multi-Weyl semimetals, the number of Fermi arcs at the system boundaries is determined by the topological charge J, a direct consequence of the "bulk-boundary"correspondence principle. Analogously, we find that J also modulates the bulk Fano profile of the system with an embedded quantum impurity. Thus by increasing J, the Fano line shape evolves from resonant, typical for J=1 (single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl semimetals with J≫1. Specially for the maximum case protected by the rotational symmetry C2J=6, namely, the J=3 (triple Weyl), which acquires asymmetric Fano profile, the Fano parameter absolute value is predicted to be tan(C2J=6), where C2J(360∘/2J) defines the rotational angle. Hence, the Fano discretization in the J term introduces the topological charge Fano effect in multi-Weyl semimetals. We also suggest a transport device where we expect that the proposed Fano effect could be detected.

Original language	English
Article number	235135
Journal	Physical Review B
Volume	105
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevB.105.235135
Publication status	Published - 15 Jun 2022

Bibliographical note

Funding Information:
We thank the Brazilian funding agencies CNPq (Grants No. 302887/2020-2, No. 308410/2018-1, No. 311980/2021-0, No. 305738/2018-6, No. 311366/2021-0, No. 305668/2018-8, and No. 308695/2021-6), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior–Brasil (CAPES) – Finance Code 001, the São Paulo Research Foundation (FAPESP; Grant No. 2018/09413-0) and FAPERJ Process No. 210 355/2018. L.S.R. and I.A.S. acknowledge support from the Icelandic Research Fund (project “Hybrid polaritonics”). I.A.S. also acknowledges support from the Program Priority 2030. L.S.R. thanks A.C.S. and Unesp for their hospitality.

Publisher Copyright:
© 2022 American Physical Society.

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title = "Topological charge Fano effect in multi-Weyl semimetals",

abstract = "We theoretically analyze the Fano interference in a single impurity multi-Weyl semimetal hybrid system and show the emergence of the topological charge Fano effect in the bulk local density of states. In multi-Weyl semimetals, the number of Fermi arcs at the system boundaries is determined by the topological charge J, a direct consequence of the {"}bulk-boundary{"}correspondence principle. Analogously, we find that J also modulates the bulk Fano profile of the system with an embedded quantum impurity. Thus by increasing J, the Fano line shape evolves from resonant, typical for J=1 (single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl semimetals with J≫1. Specially for the maximum case protected by the rotational symmetry C2J=6, namely, the J=3 (triple Weyl), which acquires asymmetric Fano profile, the Fano parameter absolute value is predicted to be tan(C2J=6), where C2J(360∘/2J) defines the rotational angle. Hence, the Fano discretization in the J term introduces the topological charge Fano effect in multi-Weyl semimetals. We also suggest a transport device where we expect that the proposed Fano effect could be detected.",

author = "Silva, {W. C.} and Mizobata, {W. N.} and Sanches, {J. E.} and Ricco, {L. S.} and Shelykh, {I. A.} and {De Souza}, M. and Figueira, {M. S.} and E. Vernek and Seridonio, {A. C.}",

note = "Funding Information: We thank the Brazilian funding agencies CNPq (Grants No. 302887/2020-2, No. 308410/2018-1, No. 311980/2021-0, No. 305738/2018-6, No. 311366/2021-0, No. 305668/2018-8, and No. 308695/2021-6), Coordena{\c c}{\~a}o de Aperfei{\c c}oamento de Pessoal de N{\'i}vel Superior–Brasil (CAPES) – Finance Code 001, the S{\~a}o Paulo Research Foundation (FAPESP; Grant No. 2018/09413-0) and FAPERJ Process No. 210 355/2018. L.S.R. and I.A.S. acknowledge support from the Icelandic Research Fund (project “Hybrid polaritonics”). I.A.S. also acknowledges support from the Program Priority 2030. L.S.R. thanks A.C.S. and Unesp for their hospitality. Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

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month = jun,

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doi = "10.1103/PhysRevB.105.235135",

language = "English",

volume = "105",

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AU - Mizobata, W. N.

AU - Sanches, J. E.

AU - Ricco, L. S.

AU - Shelykh, I. A.

AU - De Souza, M.

AU - Figueira, M. S.

AU - Vernek, E.

AU - Seridonio, A. C.

N1 - Funding Information: We thank the Brazilian funding agencies CNPq (Grants No. 302887/2020-2, No. 308410/2018-1, No. 311980/2021-0, No. 305738/2018-6, No. 311366/2021-0, No. 305668/2018-8, and No. 308695/2021-6), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior–Brasil (CAPES) – Finance Code 001, the São Paulo Research Foundation (FAPESP; Grant No. 2018/09413-0) and FAPERJ Process No. 210 355/2018. L.S.R. and I.A.S. acknowledge support from the Icelandic Research Fund (project “Hybrid polaritonics”). I.A.S. also acknowledges support from the Program Priority 2030. L.S.R. thanks A.C.S. and Unesp for their hospitality. Publisher Copyright: © 2022 American Physical Society.

PY - 2022/6/15

Y1 - 2022/6/15

N2 - We theoretically analyze the Fano interference in a single impurity multi-Weyl semimetal hybrid system and show the emergence of the topological charge Fano effect in the bulk local density of states. In multi-Weyl semimetals, the number of Fermi arcs at the system boundaries is determined by the topological charge J, a direct consequence of the "bulk-boundary"correspondence principle. Analogously, we find that J also modulates the bulk Fano profile of the system with an embedded quantum impurity. Thus by increasing J, the Fano line shape evolves from resonant, typical for J=1 (single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl semimetals with J≫1. Specially for the maximum case protected by the rotational symmetry C2J=6, namely, the J=3 (triple Weyl), which acquires asymmetric Fano profile, the Fano parameter absolute value is predicted to be tan(C2J=6), where C2J(360∘/2J) defines the rotational angle. Hence, the Fano discretization in the J term introduces the topological charge Fano effect in multi-Weyl semimetals. We also suggest a transport device where we expect that the proposed Fano effect could be detected.

AB - We theoretically analyze the Fano interference in a single impurity multi-Weyl semimetal hybrid system and show the emergence of the topological charge Fano effect in the bulk local density of states. In multi-Weyl semimetals, the number of Fermi arcs at the system boundaries is determined by the topological charge J, a direct consequence of the "bulk-boundary"correspondence principle. Analogously, we find that J also modulates the bulk Fano profile of the system with an embedded quantum impurity. Thus by increasing J, the Fano line shape evolves from resonant, typical for J=1 (single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl semimetals with J≫1. Specially for the maximum case protected by the rotational symmetry C2J=6, namely, the J=3 (triple Weyl), which acquires asymmetric Fano profile, the Fano parameter absolute value is predicted to be tan(C2J=6), where C2J(360∘/2J) defines the rotational angle. Hence, the Fano discretization in the J term introduces the topological charge Fano effect in multi-Weyl semimetals. We also suggest a transport device where we expect that the proposed Fano effect could be detected.

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DO - 10.1103/PhysRevB.105.235135

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SN - 2469-9950

VL - 105

JO - Physical Review B

JF - Physical Review B

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ER -

Topological charge Fano effect in multi-Weyl semimetals

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