Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials

Fabio Cinti; Tommaso Macrì

doi:10.3390/condmat4040093

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arXiv · 1912.00638

Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials

Fabio Cinti·Tommaso Macrì

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Abstract

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.

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Fabio Cinti, Tommaso Macrì. 2019-12-02. Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials. https://doi.org/10.3390/condmat4040093

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