Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance
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Electron energy loss spectroscopy (EELS) is a commonly used experimental technique for investigating electronic and plasmonic properties of materials, including van der Waals (vdW) materials [1]. Following Ref. [2] we derive a general expression for the effective dielectric function of multilayered structures made of two-dimensional (2D) vdW materials separated by insulating layers, in terms of the dielectric functions of the insulating layers and the 2D response functions of the vdW sheets, so the EEL spectrum of such structures may be deduced and compared with the available experimental data. In our previous publications [3-5] we investigated the effects of plasmon-phonon hybridization in graphene-insulator-graphene heterostructures. In all those publications we assumed a zero gap between graphene and insulator to simplify calculations. In this work we assign for the first time a finite gap size between graphene and insulator, and apply the general expression for the effective dielec...tric function of multilayered structures to the case of graphene-insulator-graphene composite. The energy loss function (the imaginary part of the negative value of the inverse dielectric function) is shown for the cases of graphene-insulator-graphene composite systems with and without the finite gap size between graphene and insulator in order to study the role of graphene-insulator distance on the hybridization between the Dirac plasmons in graphene layers and the Fuchs-Kliewer phonons in both surfaces of the insulator slab. The response function of each graphene is obtained using the dynamic polarization function of graphene within the random phase approximation for its π electrons described as Dirac’s fermions. The response of the insulator layer is described by a dielectric function consisting of several Lorentzian terms.
Извор:
PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade, 2023, 128-128Издавач:
- Belgrade : Vinča Institute of Nuclear Sciences
Напомена:
- IX International School and Conference on Photonics : PHOTONICA2023 : book of abstracts; August 28 - September 1, 2023; Belgrade
Колекције
Институција/група
VinčaTY - CONF AU - Radović, Ivan AU - Kalinić, Ana AU - Karbunar, Lazar AU - Mišković, Zoran L. PY - 2023 UR - https://vinar.vin.bg.ac.rs/handle/123456789/11822 AB - Electron energy loss spectroscopy (EELS) is a commonly used experimental technique for investigating electronic and plasmonic properties of materials, including van der Waals (vdW) materials [1]. Following Ref. [2] we derive a general expression for the effective dielectric function of multilayered structures made of two-dimensional (2D) vdW materials separated by insulating layers, in terms of the dielectric functions of the insulating layers and the 2D response functions of the vdW sheets, so the EEL spectrum of such structures may be deduced and compared with the available experimental data. In our previous publications [3-5] we investigated the effects of plasmon-phonon hybridization in graphene-insulator-graphene heterostructures. In all those publications we assumed a zero gap between graphene and insulator to simplify calculations. In this work we assign for the first time a finite gap size between graphene and insulator, and apply the general expression for the effective dielectric function of multilayered structures to the case of graphene-insulator-graphene composite. The energy loss function (the imaginary part of the negative value of the inverse dielectric function) is shown for the cases of graphene-insulator-graphene composite systems with and without the finite gap size between graphene and insulator in order to study the role of graphene-insulator distance on the hybridization between the Dirac plasmons in graphene layers and the Fuchs-Kliewer phonons in both surfaces of the insulator slab. The response function of each graphene is obtained using the dynamic polarization function of graphene within the random phase approximation for its π electrons described as Dirac’s fermions. The response of the insulator layer is described by a dielectric function consisting of several Lorentzian terms. PB - Belgrade : Vinča Institute of Nuclear Sciences C3 - PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade T1 - Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance SP - 128 EP - 128 UR - https://hdl.handle.net/21.15107/rcub_vinar_11822 ER -
@conference{ author = "Radović, Ivan and Kalinić, Ana and Karbunar, Lazar and Mišković, Zoran L.", year = "2023", abstract = "Electron energy loss spectroscopy (EELS) is a commonly used experimental technique for investigating electronic and plasmonic properties of materials, including van der Waals (vdW) materials [1]. Following Ref. [2] we derive a general expression for the effective dielectric function of multilayered structures made of two-dimensional (2D) vdW materials separated by insulating layers, in terms of the dielectric functions of the insulating layers and the 2D response functions of the vdW sheets, so the EEL spectrum of such structures may be deduced and compared with the available experimental data. In our previous publications [3-5] we investigated the effects of plasmon-phonon hybridization in graphene-insulator-graphene heterostructures. In all those publications we assumed a zero gap between graphene and insulator to simplify calculations. In this work we assign for the first time a finite gap size between graphene and insulator, and apply the general expression for the effective dielectric function of multilayered structures to the case of graphene-insulator-graphene composite. The energy loss function (the imaginary part of the negative value of the inverse dielectric function) is shown for the cases of graphene-insulator-graphene composite systems with and without the finite gap size between graphene and insulator in order to study the role of graphene-insulator distance on the hybridization between the Dirac plasmons in graphene layers and the Fuchs-Kliewer phonons in both surfaces of the insulator slab. The response function of each graphene is obtained using the dynamic polarization function of graphene within the random phase approximation for its π electrons described as Dirac’s fermions. The response of the insulator layer is described by a dielectric function consisting of several Lorentzian terms.", publisher = "Belgrade : Vinča Institute of Nuclear Sciences", journal = "PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade", title = "Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance", pages = "128-128", url = "https://hdl.handle.net/21.15107/rcub_vinar_11822" }
Radović, I., Kalinić, A., Karbunar, L.,& Mišković, Z. L.. (2023). Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade Belgrade : Vinča Institute of Nuclear Sciences., 128-128. https://hdl.handle.net/21.15107/rcub_vinar_11822
Radović I, Kalinić A, Karbunar L, Mišković ZL. Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance. in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade. 2023;:128-128. https://hdl.handle.net/21.15107/rcub_vinar_11822 .
Radović, Ivan, Kalinić, Ana, Karbunar, Lazar, Mišković, Zoran L., "Electron energy loss spectroscopy of multilayered structures: Theoretical aspects and the role of graphene-insulator distance" in PHOTONICA2023 : 9th International School and Conference on Photonics : book of abstracts; August 28 - September 1, 2023; Belgrade (2023):128-128, https://hdl.handle.net/21.15107/rcub_vinar_11822 .