Graphene rings have great prospects in the fields of biological modulators, electrochemical biosensors, and resonators, but are prone to wrinkling which can affect their physical properties. This work establishes a theoretical model predicting the torsional wrinkling behavior of defective monolayer graphene rings, which provides direct understanding and reliable accuracy of the wrinkle levels. Then the thermal conductivity of wrinkled graphene rings is studied considering different wrinkle levels, defect concentrations and radii. It is found that with increased radius, defect concentration and torsional angle, the ratio of wrinkle amplitude to wavelength increases gradually. Vacancy defects and radii have more significant influences on the thermal conductivity than torsional wrinkles. The main influence mechanism of wrinkles and defects on thermal conductivity is revealed by phonon density of state. This work provides theoretical guidance for thermal manipulation based on the wrinkle-tuning approach.

中文翻译：

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有缺陷的皱纹石墨烯环的导热性

石墨烯环在生物调节器、电化学生物传感器和谐振器等领域具有广阔的前景，但容易起皱，影响其物理性能。这项工作建立了一个预测有缺陷的单层石墨烯环的扭转起皱行为的理论模型，该模型提供了对起皱水平的直接理解和可靠的准确性。然后考虑不同的皱纹程度、缺陷浓度和半径，研究了皱纹石墨烯环的导热性。研究发现，随着半径、缺陷浓度和扭转角的增加，皱纹幅度与波长的比值逐渐增大。空位缺陷和半径对导热率的影响比扭转皱纹更显着。声子态密度揭示了皱纹和缺陷对热导率的主要影响机制。这项工作为基于皱纹调节方法的热操控提供了理论指导。