2019/07/31 by Marcelo F. Ciappina, Alfredo Iorio, Pablo Pais +1 · 1 citation
Physics and Astronomy · #Antisymmetric relation #Classical mechanics #Harmonics #Holonomy #Laser-Matter Interactions and Applications #Mathematical physics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Spinor #Spinor field #Theoretical physics #Topological Materials and Phenomena #Torsion (gastropod) #Voltage #cond-mat.mtrl-sci #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.101.036021
published as Phys. Rev. D 101, 036021 (2020) · 24 pages, 5 figures
openalex publication_date 2020/02/28 · arxiv created 2020/03/02 · arxiv updated 2020/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Assuming dislocations could be meaningfully described by torsion, we propose here a scenario based on the role of time in the low-energy regime of two-dimensional Dirac materials, for which coupling of the fully antisymmetric component of the torsion with the emergent spinor is not necessarily zero. Appropriate inclusion of time is our proposal to overcome well-known geometrical obstructions to such a program, that stopped further research of this kind. In particular, our approach is based on the realization of an exotic time-loop, that could be seen as oscillating particle-hole pairs. Although this is a theoretical paper, we moved the first steps toward testing the realization of these scenarios, by envisaging Gedankenexperiments on the interplay between an external electromagnetic field (to excite the pair particle-hole and realize the time-loops), and a suitable distribution of dislocations described as torsion (responsible for the measurable holonomy in the time-loop, hence a current). Our general analysis here establishes that we need to move to a nonlinear response regime. We then conclude by pointing to recent results from the interaction laser-graphene that could be used to look for manifestations of the torsion-induced holonomy of the time-loop, e.g., as specific patterns of suppression/generation of higher harmonics.