Jul 22 – 25, 2019
ECT* - Villa Tambosi
Europe/Rome timezone
Abstracts submission open. Posters do not require abstract submission.

Forging graphene pseudospheres to mimic curved space–times

Jul 25, 2019, 11:45 AM
15m
Meeting room (ECT* - Villa Tambosi)

Meeting room

ECT* - Villa Tambosi

Strada delle Tabarelle, 286 38123 - Villazzano (TN) Italy

Speaker

Dr Tommaso Morresi (ECT* (FBK) - University of Trento)

Description

In a previous work it was shown that the realization of the graphene topology on a Beltrami pseudosphere can lead to the analogue realization of the Hawking-Unruh effect [1]. This effect predicts that quantum fields in curved space-time with an horizon exhibit a thermal character due to the quantum vacuum and to the relativistic process of measurement.
Here we construct a computational model of a solid-state black-hole analogue consisting of a graphene membrane characterised by a three-connected tessellation engineered to shape it in the form of the Beltrami’s pseudosphere, which is a surface with constant negative Gaussian curvature. Heptagonal and pentagonal defects emerge on the surface due to the negative curvature [2]. We devise a new algorithm to scale-up the pseudosphere dimensions reaching a radius R ∼ 100 nm of the event horizon. Furthermore, we elaborate a tight-binding (TB) approach to calculate the local density of states (LDOS) for these extended curved structures. Comparison between the numerically evaluated LDOS [3] and the theoretically predicted one [1] shows, within uncertainties, its thermal nature, establishing the presence of a black hole type horizon in the system.

References
[1] A. Iorio, G. Lambiase, Quantum field theory in curved graphene spacetimes,
Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
, Phys. Rev. D, 90, 2014
[2] S. Taioli et al., Lobachevsky crystallography made real through carbon pseudospheres, J. Phys.: Condens. Matter, 28, 2012
[3] T. Morresi, D. Binosi, S. Simonucci, R. Piergallini, S. Roche, N. M. Pugno,
S. Taioli, Exploring spacetime singularity and Hawking radiation through deformed
graphene membranes
, submitted (2019)

Primary authors

Dr Tommaso Morresi (ECT* (FBK) - University of Trento) Dr Simone Taioli (ECT* (FBK)) Dr Daniele Binosi (ECT* (FBK)) Prof. Nicola M. Pugno (University of Trento (IT) - Queen Mary University of London (UK))

Co-authors

Prof. Stephan Roche (ICN2, Barcelona, Spain) Dr Stefano Simonucci (University of Camerino (IT)) Prof. Riccardo Piergallini (University of Camerino (IT))

Presentation materials