Low energy excitations in bosonic quantum quasicrystals
- URL: http://arxiv.org/abs/2407.21230v3
- Date: Tue, 6 Aug 2024 22:14:17 GMT
- Title: Low energy excitations in bosonic quantum quasicrystals
- Authors: Alejandro Mendoza-Coto, Mariano Bonifacio, Francesco Piazza,
- Abstract summary: We present the first principles of the low-energy effective action for bosonic self-organizedcrystals.
Our generalized elasticity approach retains appropriate number of phase- and conjugate quantum density degrees-of-freedom.
We discuss the fate of each excitation mode at the low and high density phase transitions limiting the quantum quasicrystal phase.
- Score: 44.99833362998488
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present the first principles construction of the low-energy effective action for bosonic self-organized quantum quasicrystals. Our generalized elasticity approach retains the appropriate number of phase- and corresponding conjugate density- degrees-of-freedom required for a proper description of the Goldstone modes. For the dodecagonal and decagonal quasicrystal structures we obtain collective longitudinal and transversal excitations with an isotropic speed of sound. Meanwhile, for the octagonal structure, the coupling between phononic and phasonic degrees of freedom leads in turn to hybridization of the latter with the condensate sound mode, producing collective excitations with a longitudinal and transversal component, and an anisotropic speed of sound. Finally, we discuss the fate of each excitation mode at the low and high density phase transitions limiting the quantum quasicrystal phase.
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