Lobachevsky crystallography made real through carbon pseudospheres

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10333765" target="_blank" >RIV/00216208:11320/16:10333765 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0953-8984/28/13/13LT01" target="_blank" >http://dx.doi.org/10.1088/0953-8984/28/13/13LT01</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0953-8984/28/13/13LT01" target="_blank" >10.1088/0953-8984/28/13/13LT01</a>

Result language
angličtina
Original language name
Lobachevsky crystallography made real through carbon pseudospheres
Original language description
We realize Lobachevsky geometry in a simulation lab, by producing a carbon-based energetically stable molecular structure, arranged in the shape of a Beltrami pseudosphere. We find that this structure: (i) corresponds to a non-Euclidean crystallographic group, namely a loxodromic subgroup of SL(2, Z); (ii) has an unavoidable singular boundary, that we fully take into account. Our approach, substantiated by extensive numerical simulations of Beltrami pseudospheres of different size, might be applied to other surfaces of constant negative Gaussian curvature, and points to a general procedure to generate them. Our results also pave the way to test certain scenarios of the physics of curved spacetimes owing to graphene's unique properties.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA14-07983S" target="_blank" >GA14-07983S: Vacuum structure in Quantum Field Theories</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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