Lobachevsky crystallography made real through carbon pseudospheres

Taioli, Simone; Gabbrielli, Ruggero; Simonucci, Stefano; Pugno, Nicola; Iorio, Alfredo

doi:10.1088/0953-8984/28/13/13lt01

Cited by 30 publications

(39 citation statements)

References 26 publications

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“…Consequently, our model support additional confirmation that the Beltrami shaped graphene membrane proposed firstly by Iorio is one of the best candidates to test black hole quantum physics, and should serve as a powerful platform for ongoing theoretical efforts, in particular, to produce energetically stable carbon based molecular structure arranged into a shape of Beltrami pseudosphere. Furthermore, as recently discussed in the paper by Alvarez et al , it will be interesting and valuable to study the coupling between the angular momentum of the BTZ black hole and the spin of electrons within the framework of our model, due to the fact that spin is inherently included in the Dirac Hamiltonian.…”

Section: Discussionsupporting

confidence: 84%

Quasinormal modes of BTZ black hole and Hawking‐like radiation in graphene

Kandemir

Ertem

2017

Annalen der Physik

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The Bañados-Teitelboim-Zanelli (BTZ) black hole model corresponds to a solution of (2+1)-dimensional Einstein gravity with negative cosmological constant, and by a conformal rescaling its metric can be mapped onto the hyperbolic pseudosphere surface (Beltrami trumpet) with negative curvature. Beltrami trumpet shaped graphene sheets have been predicted to emit Hawking radiation that is experimentally detectable by a scanning tunnelling microscope. Here, for the first time we present an analytical algorithm that allows variational solutions to the Dirac Hamiltonian of graphene pseudoparticles in BTZ black hole gravitational field by using an approach based on the formalism of pseudo-Hermitian Hamiltonians within a discrete-basis-set method. We show that our model not only reproduces the exact results for the real part of quasinormal mode frequencies of (2+1)-dimensional spinless BTZ black hole, but also provides analytical results for the real part of quasinormal modes of spinning BTZ black hole, and also offers some predictions for the observable effects with a view to gravity-like phenomena in a curved graphene sheet.PACS numbers: 04.62.+v, 72.80.Vp,04.70.Dy After the work of Unruh[1] who first pointed out that quantum fluid systems can be used to create an analogue of a black hole in the laboratory, various analogue gravity systems from superfluid 3 He to ultracold fermions (see e.g. [2]) have been proposed to mimic the Hawking radiation emitted by a black hole. Recently, in a series of papers [3][4][5][6][7] Iorio and Lambiase proposed a Beltrami trumpet shaped graphene as a tabletop experiment for the quantum simulation of a black hole, i.e., an analogue black hole to detect the Hawking-Unruh radiation by a scanning tunneling microscope (STM). The Beltami trumpet shaped graphene can be thought as a deformed graphene that have been wrapped up into a hyperbolic pseudosphere with a constant negative curvature.(2+1)-dimensional (3D) BTZ black hole model[8] with a negative cosmological constant Λ = −1/l 2 exhibits similar thermodynamical properties to those of (3+1)-dimensional Kerr black holes due to having mass (M), angular momentum (J), and inner and outer horizons. Since it was shown by Cvetič and Gibbons [9] that the metric of the BTZ black hole can be mapped onto the Beltrami trumpet, studying the low energy excitations of Dirac pseudoparticles in a Beltrami trumpet shaped graphene surface allows one to study quantum properties of the event horizon and Hawking-like radiation within the BTZ black hole background. The details of this proposal and its implications are discussed in a comprehensive paper of Iorio and Lambiase [7].On the gravity side, the first exact solution of quasinormal modes and associated frequencies for 3D spinless BTZ model were obtained by Cardoso and Lemos [10] and subsequently by Birmingham[11], and to our knowledge no exact or rigorous solutions for quasinormal modes are available for 3D spinning BTZ black hole. It is well known that, instead of normal modes, one should deal with qu...

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Section: Discussionsupporting

confidence: 84%

Quasinormal modes of BTZ black hole and Hawking‐like radiation in graphene

Kandemir

Ertem

2017

Annalen der Physik

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“…As a last step, the Voronoi partition of the triangles tessellating the surface was performed to obtain pentagonal, hexagonal and heptagonal carbon rings ( Fig. 1f) (for further details on this procedure see [15]). These configurations were finally annealed by MD using reactive potentials to optimize the carbon positions within the foams.…”

Section: Modeling Graphene Random Foamsmentioning

confidence: 99%

Mechanical and thermal properties of graphene random nanofoams via Molecular Dynamics simulations

Pedrielli

Taioli

Garberoglio

et al. 2018

Carbon

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Graphene foams have recently attracted a great deal of interest for their possible use in technological applications, such as electrochemical storage devices, wearable electronics, and chemical sensing. In this work, we present computational investigations, performed by using molecular dynamics with reactive potentials, of the mechanical and thermal properties of graphene random nanofoams. In particular, we assess the mechanical and thermal performances of four families of random foams characterized by increasing mass density and decreasing average pore size. We find that the foams' mechanical performances under tension cannot be rationalized in terms of mass density, while they are principally related to their topology. Under compression, higher-density foams show the typical slope change in the stress-strain curve at 5 − 10 % strain, moving from linear elasticity to bending stress plateau. At variance, lower density foams display a quasi-linear behaviour up to 35 % strain. Furthermore, we assess the thermal conductivity of these random foams using the Green-Kubo approach. While foam thermal conductivity is affected by both connectivity and defects, nevertheless we obtain similar values for all the investigated families, which means that topology is the critical factor affecting thermal transport in these structures.

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“…Thus, one may devise a route to design novel carbon-based materials with a density lower than graphene, while keeping its specific properties. Unfortunately, investigations on this topic have been rarely pursued except for some notable exceptions [24,25,26,27]. In this work, using an augmentation method applied to regular and semi-regular tessellations of the plane with three-connected vertices, we find some novel energetically stable 2 sp -bonded carbonbased structures under the locally jammed packing condition with density lower than graphene.…”

Section: Introductionmentioning

confidence: 88%

Structural, electronic and mechanical properties of all-sp2 carbon allotropes with density lower than graphene

Morresi

Pedrielli

Beccara

et al. 2020

Carbon

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Lobachevsky crystallography made real through carbon pseudospheres

Cited by 30 publications

References 26 publications

Quasinormal modes of BTZ black hole and Hawking‐like radiation in graphene

Quasinormal modes of BTZ black hole and Hawking‐like radiation in graphene

Mechanical and thermal properties of graphene random nanofoams via Molecular Dynamics simulations

Structural, electronic and mechanical properties of all-sp2 carbon allotropes with density lower than graphene

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