Extended Coupled Cluster approach to Twisted Graphene Layers Article Swipe

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YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2405.10863

A study of correlation effects in twisted bilayer graphene is presented using the extended coupled cluster method at consistent mean-field and beyond mean-field truncations. In order to describe the phase transitions in this strongly correlated system, equations and a suitable implementation is developed for the method. Combining modern tensor contraction techniques with singular value decomposition, the correlation effects are successfully described in a qualitative manner, with the majority of both short-range and long-range Coulomb interactions included. The superconducting gap is found to peak at an angle $θ_c = 1.00^\circ$ with a BCS value for the critical temperature of $T_\text{c}^\text{BCS} = 0.8$K matching closely with experiment. Additionally, a homogeneous (s-wave) gap is found. While the simulations are somewhat limited by the truncations used, nevertheless, a strong candidate for the mechanism behind superconductive phases in twisted bilayer graphene is presented.

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Graphene Cluster (spacecraft) Materials science Nanotechnology Computer science Computer network

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2405.10863
PDF: https://arxiv.org/pdf/2405.10863
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4398157545

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DOI: https://doi.org/10.48550/arxiv.2405.10863

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Title: Extended Coupled Cluster approach to Twisted Graphene Layers

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-05-17

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Authors: Ingvars Vitenburgs, Niels R. Walet

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Landing page: https://arxiv.org/abs/2405.10863

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PDF URL: https://arxiv.org/pdf/2405.10863

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OA URL: https://arxiv.org/pdf/2405.10863

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Concepts: Graphene, Cluster (spacecraft), Materials science, Nanotechnology, Computer science, Computer network

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