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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.19881 |
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Table of Contents:
- We study the effects of the electron-electron interactions on the excitonic properties and charge-density modulations in the AB stacked double-layer (DL) graphene, placed in the external gate-potential $V$. The coexistence of the canted antiferromagnetic order and excitonic pairing gap has been studied with the help of the generalized Hubbard model. We calculate the chemical potential $μ$, the average charge density difference between the layers $δ{\bar{n}}$, the antiferromagnetic gap-function $Δ_{\rm AFM}$ and the excitonic order parameters $Δ_σ$ in the zero temperature limit. We found that the excitonic pairing order parameter has a larger energy scale than the canted antiferromagnetic gap-function. The charge neutrality, in the DL graphene system, occurs only in the absence of the external gate-potential $V$. Moreover, we have shown that the values of the antiferromagnetic gap-function $Δ_{\rm AFM}$ and excitonic order parameter $Δ_σ$ are always increasing at the large values of inter-layer Coulomb interaction, while they are decreasing for large values of the applied gate-potential $V$.