Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes

Polytypes of tetralayer graphene (TLG: Bernal, rhombohedral, and mixed stacking) are crystalline structures with different symmetries. Among those, mixed-stacking tetralayers lack inversion symmetry, which allows for intrinsic spontaneous out-of-plane electrical polarization, inverted in the mirror-...

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Main Authors: Patrick Johansen Sarsfield, Aitor Garcia-Ruiz (艾飛宇), Vladimir I. Fal'ko
Format: Article
Language:English
Published: American Physical Society 2024-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.043324
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author Patrick Johansen Sarsfield
Aitor Garcia-Ruiz (艾飛宇)
Vladimir I. Fal'ko
author_facet Patrick Johansen Sarsfield
Aitor Garcia-Ruiz (艾飛宇)
Vladimir I. Fal'ko
author_sort Patrick Johansen Sarsfield
collection DOAJ
description Polytypes of tetralayer graphene (TLG: Bernal, rhombohedral, and mixed stacking) are crystalline structures with different symmetries. Among those, mixed-stacking tetralayers lack inversion symmetry, which allows for intrinsic spontaneous out-of-plane electrical polarization, inverted in the mirror-image pair, ABCB and ABAC stackings. Here, we compare the intrinsic polarization of such TLGs with the symmetry-breaking effect of a substrate, which can also generate out-of-plane electric dipole moments with different sizes in all four polytypes, including ABCB and ABAC twins. We analyze their temperature and magnetic field dependence, in view of understanding the origin of the recently measured Kelvin probe force microscopy maps of tetralayer flakes [S. S. Atri et al.Adv. Phys. Res. 3, 2300095 (2023)10.1002/apxr.202300095], and notice that the intrinsic contribution could be singled out based on magnetic field dependence of polarization measured at low temperatures.
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spelling doaj-art-2fa405e24c0d42f6855cd2e3e9d9686e2025-01-21T15:48:46ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404332410.1103/PhysRevResearch.6.043324Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenesPatrick Johansen SarsfieldAitor Garcia-Ruiz (艾飛宇)Vladimir I. Fal'koPolytypes of tetralayer graphene (TLG: Bernal, rhombohedral, and mixed stacking) are crystalline structures with different symmetries. Among those, mixed-stacking tetralayers lack inversion symmetry, which allows for intrinsic spontaneous out-of-plane electrical polarization, inverted in the mirror-image pair, ABCB and ABAC stackings. Here, we compare the intrinsic polarization of such TLGs with the symmetry-breaking effect of a substrate, which can also generate out-of-plane electric dipole moments with different sizes in all four polytypes, including ABCB and ABAC twins. We analyze their temperature and magnetic field dependence, in view of understanding the origin of the recently measured Kelvin probe force microscopy maps of tetralayer flakes [S. S. Atri et al.Adv. Phys. Res. 3, 2300095 (2023)10.1002/apxr.202300095], and notice that the intrinsic contribution could be singled out based on magnetic field dependence of polarization measured at low temperatures.http://doi.org/10.1103/PhysRevResearch.6.043324
spellingShingle Patrick Johansen Sarsfield
Aitor Garcia-Ruiz (艾飛宇)
Vladimir I. Fal'ko
Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
Physical Review Research
title Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
title_full Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
title_fullStr Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
title_full_unstemmed Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
title_short Substrate, temperature, and magnetic field dependence of electric polarization in mixed-stacking tetralayer graphenes
title_sort substrate temperature and magnetic field dependence of electric polarization in mixed stacking tetralayer graphenes
url http://doi.org/10.1103/PhysRevResearch.6.043324
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