Three "layers" of graphene monolayer and their analog generalized uncertainty principles
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10455143" target="_blank" >RIV/00216208:11320/22:10455143 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=biT~5tJNog" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=biT~5tJNog</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.106.116011" target="_blank" >10.1103/PhysRevD.106.116011</a>
Alternative languages
Result language
angličtina
Original language name
Three "layers" of graphene monolayer and their analog generalized uncertainty principles
Original language description
We show that graphene, in its simplest form and settings, is a practical tabletop realization of the analog of exotic quantum gravity scenarios, which are speculated to lead to certain generalized Heisenberg algebras. In particular, we identify three different energy regimes (the "layers") where the physics is still of a pseudorelativistic (Dirac) type but more and more sensitive to the effects of the lattice. This plays here a role analog to that of a discrete space, where the Dirac quasiparticles live. This work improves and pushes further earlier results, where the physical meaning of the high energy momenta was clear, but the conjugate coordinates only had a purely abstract description. Here we find the physical meaning of the latter by identifying the mapping between the high energy coordinates and low energy ones, i.e., those measured in the lab. We then obtain two generalized Heisenberg algebras that were not noticed earlier. In these two cases, we have the striking result that the high energy coordinates just coincide with the standard ones, measured in the lab. A third generalized Heisenberg algebra is obtained, and it is an improvement of the results obtained earlier in two respects: we now have an expression of the generalized coordinates in terms of the standard phase-space variables, and we obtain higher order terms. All mentioned results clearly open the doors to tabletop experimental verifications of many generalized uncertainty principle-corrected predictions of the quantum gravity phenomenology.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
106
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
116011
UT code for WoS article
000905134700001
EID of the result in the Scopus database
2-s2.0-85144803865