Weyl-gauge symmetry of graphene

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10107326" target="_blank" >RIV/00216208:11320/11:10107326 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aop.2011.01.001" target="_blank" >http://dx.doi.org/10.1016/j.aop.2011.01.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2011.01.001" target="_blank" >10.1016/j.aop.2011.01.001</a>

Result language
angličtina
Original language name
Weyl-gauge symmetry of graphene
Original language description
The conformal invariance of the low energy limit theory governing the electronic properties of graphene is explored. In particular, it is noted that the massless Dirac theory in point enjoys local Weyl symmetry, a very large symmetry. Exploiting this symmetry in the two spatial dimensions and in the associated three dimensional spacetime, we find the geometric constraints that correspond to specific shapes of the graphene sheet for which the electronic density of states is the same as that for planar graphene, provided the measurements are made in accordance to the inner reference frame of the electronic system. These results rely on the (surprising) general relativistic-like behavior of the graphene system arising from the combination of its well known special relativistic-like behavior with the less explored Weyl symmetry. Mathematical structures, such as the Virasoro algebra and the Liouville equation, naturally arise in this three-dimensional context and can be related to specific
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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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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