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Open AccessArticle

Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials

by Fabio Cinti 1,2 and Tommaso Macrì 3,*
1
Department of Physics and Astronomy, University of Florence, Via Sansone 1, I-50019 Sesto Fiorentino (FI), Italy
2
Department of Physics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa
3
Departamento de Física Teórica e Experimental, International Institute of Physics, Universidade Federal do Rio Grande do Norte, Lagoa Nova, Natal RN 59078-970, Brazil
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(4), 93; https://doi.org/10.3390/condmat4040093
Received: 30 November 2019 / Revised: 11 December 2019 / Accepted: 13 December 2019 / Published: 16 December 2019
We analyze the many-body phases of an ensemble of particles interacting via a Lifshitz–Petrich–Gaussian pair potential in a harmonic confinement. We focus on specific parameter regimes where we expect decagonal quasiperiodic cluster arrangements. Performing classical Monte Carlo as well as path integral quantum Monte Carlo methods, we numerically simulate systems of a few thousand particles including thermal and quantum fluctuations. Our findings indicate that the competition between the intrinsic length scale of the harmonic oscillator and the wavelengths associated to the minima of the pair potential generically lead to a destruction of the quasicrystalline pattern. Extensions of this work are also discussed. View Full-Text
Keywords: cluster physics; quasicrystals; quantum many-body phases; path-integral quantum Monte Carlo cluster physics; quasicrystals; quantum many-body phases; path-integral quantum Monte Carlo
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Cinti, F.; Macrì, T. Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials. Condens. Matter 2019, 4, 93.

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