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arXiv · 2306.17196

Turning graphene into a lab for noncommutativity

Alfredo Iorio·Boris Ivetić·Pablo Pais
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Abstract

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 $[X^i,X^j] = \mathrm{i} \, \theta^{i j}$ and we find that $\theta^{i j} = \ell^2 \, \epsilon^{i j}$, 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.

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Alfredo Iorio, Boris Ivetić, Pablo Pais. 2023-06-29. Turning graphene into a lab for noncommutativity. https://doi.org/10.1016/j.physletb.2024.138630

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