Superconductivity and special symmetry of twisted tri-layer graphene in chiral model

Superconducting properties of twisted tri-layer graphene (TTG) are studied within the scope of the chiral model based on using the unitary matrix \(U \in SU(2)\) as an order parameter. To check the superconductor behavior of this system, the interaction with the external magnetic field \(B_0\) orien...

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Main Authors: Yuri P. Rybakov, Medina Umar
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2024-12-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:https://journals.rudn.ru/miph/article/viewFile/43672/24669
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author Yuri P. Rybakov
Medina Umar
author_facet Yuri P. Rybakov
Medina Umar
author_sort Yuri P. Rybakov
collection DOAJ
description Superconducting properties of twisted tri-layer graphene (TTG) are studied within the scope of the chiral model based on using the unitary matrix \(U \in SU(2)\) as an order parameter. To check the superconductor behavior of this system, the interaction with the external magnetic field \(B_0\) oriented along the graphene sheets is switched on and the internal magnetic intensity in the center is calculated as the function of the twisting angle. Vanishing of this function, due to the Meissner effect, being the important feature of the superconductivity, the corresponding dependence of the magic twisting angle on \(B_0\) is calculated. The unusual effect of re-entrant superconductivity for large values of \(B_0\) is discussed.
format Article
id doaj-art-8a57361fee9646348983230e460d496d
institution DOAJ
issn 2658-4670
2658-7149
language English
publishDate 2024-12-01
publisher Peoples’ Friendship University of Russia (RUDN University)
record_format Article
series Discrete and Continuous Models and Applied Computational Science
spelling doaj-art-8a57361fee9646348983230e460d496d2025-08-20T03:17:14ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492024-12-0132444545110.22363/2658-4670-2024-32-4-445-45121069Superconductivity and special symmetry of twisted tri-layer graphene in chiral modelYuri P. Rybakov0https://orcid.org/0000-0002-7744-9725Medina Umar1RUDN UniversityRUDN UniversitySuperconducting properties of twisted tri-layer graphene (TTG) are studied within the scope of the chiral model based on using the unitary matrix \(U \in SU(2)\) as an order parameter. To check the superconductor behavior of this system, the interaction with the external magnetic field \(B_0\) oriented along the graphene sheets is switched on and the internal magnetic intensity in the center is calculated as the function of the twisting angle. Vanishing of this function, due to the Meissner effect, being the important feature of the superconductivity, the corresponding dependence of the magic twisting angle on \(B_0\) is calculated. The unusual effect of re-entrant superconductivity for large values of \(B_0\) is discussed.https://journals.rudn.ru/miph/article/viewFile/43672/24669tri-layer graphenechiral modelsuperconductivity
spellingShingle Yuri P. Rybakov
Medina Umar
Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
Discrete and Continuous Models and Applied Computational Science
tri-layer graphene
chiral model
superconductivity
title Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
title_full Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
title_fullStr Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
title_full_unstemmed Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
title_short Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
title_sort superconductivity and special symmetry of twisted tri layer graphene in chiral model
topic tri-layer graphene
chiral model
superconductivity
url https://journals.rudn.ru/miph/article/viewFile/43672/24669
work_keys_str_mv AT yuriprybakov superconductivityandspecialsymmetryoftwistedtrilayergrapheneinchiralmodel
AT medinaumar superconductivityandspecialsymmetryoftwistedtrilayergrapheneinchiralmodel