Graphene: QFT in curved spacetimes close to experiments

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Iorio, Alfredo^1

Faculty of Mathematics and Physics, Charles University in Prague, V Holeovikách 2, 18000 Prague 8, Czech Republic^1

关键词: Beltrami;    Gaussian curvatures;    Local density of state;    Low-energy physics;    Quantum field theory;    Step by step procedure;    Unruh effect;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012056/pdf
DOI  :  10.1088/1742-6596/442/1/012056

学科分类：力学，机械学

来源: IOP

【 摘 要 】

A recently proposed step-by-step procedure, to merge the low-energy physics of the π-bonds electrons of graphene, and quantum field theory on curved spacetimes, is recalled. The last step there is the proposal of an experiment to test a Hawking-Unruh effect, emerging from the model, that manifests itself as an exact (within the model) prediction for the electronic local density of states, in the ideal case of the graphene membrane shaped as a Beltrami pseudosphere. A discussion about one particular attempt to experimentally test the model on molecular graphene is presented, and it is taken as an excuse to solve some basic issues that will help future experiments. In particular, it is stated that the effect should be visible on generic surfaces of constant negative Gaussian curvature, that are infinite in number.