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| Autori principali: | , , |
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| Natura: | Preprint |
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2023
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| Accesso online: | https://arxiv.org/abs/2306.17196 |
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| _version_ | 1866914797469040640 |
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| author | Iorio, Alfredo Ivetić, Boris Pais, Pablo |
| author_facet | Iorio, Alfredo Ivetić, Boris Pais, Pablo |
| contents | It was recently shown that taking into account the granular structure of graphene lattice, the Dirac-like dynamics of its quasiparticles resists beyond the lowest energy approximation. This can be described in terms of new phase-space variables, $(\vec{X},\vec{P})$, that enjoy generalized Heisenberg algebras. In this letter, we add to that picture the important case of noncommuting $\vec{X}$, for which $[X^i,X^j] = \mathrm{i} \, θ^{i j}$ and we find that $θ^{i j} = \ell^2 \, ε^{i j}$, with $\ell$ the lattice spacing. We close by giving both the general recipe and a possible specific kinematic setup for the practical implementation of this approach to test noncommutative theories in tabletop analog experiments on graphene. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Turning graphene into a lab for noncommutativity Iorio, Alfredo Ivetić, Boris Pais, Pablo High Energy Physics - Theory It was recently shown that taking into account the granular structure of graphene lattice, the Dirac-like dynamics of its quasiparticles resists beyond the lowest energy approximation. This can be described in terms of new phase-space variables, $(\vec{X},\vec{P})$, that enjoy generalized Heisenberg algebras. In this letter, we add to that picture the important case of noncommuting $\vec{X}$, for which $[X^i,X^j] = \mathrm{i} \, θ^{i j}$ and we find that $θ^{i j} = \ell^2 \, ε^{i j}$, with $\ell$ the lattice spacing. We close by giving both the general recipe and a possible specific kinematic setup for the practical implementation of this approach to test noncommutative theories in tabletop analog experiments on graphene. |
| title | Turning graphene into a lab for noncommutativity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.17196 |