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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:2305.00490 (cond-mat)
[Submitted on 30 Apr 2023]

Title:Chronological-safe kind of geometric phase for $C_{60}$ fullerenes in Gödel spacetimes

Authors:Everton Cavalcante, Jean Spinelly
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Abstract:In this paper, we investigate a rotating fullerene molecule with Ih symmetry within the framework of non-inertial spacetimes. We use a low-energy geometric theory to describe the molecule as a two-dimensional spherical space of Gödel type. Using the well-known fictitious `t Hooft Polyakov monopole to decouple the doublet associated with the lattice, we employ the Dirac factor method to derive a geometric phase for the fermions in the system. We also discuss the chronology protection feature of the phase through specific geometric considerations for the system.
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2305.00490 [cond-mat.mes-hall]
  (or arXiv:2305.00490v1 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.2305.00490

Submission history

From: Everton Cavalcante [view email]
[v1] Sun, 30 Apr 2023 14:25:28 UTC (11 KB)
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