Exploring quantum quasicrystal patterns: A variational study

Mendoza-Coto, Alejandro; Turcati, Rodrigo; Zampronio, Vinicius; Díaz-Méndez, Rogelio; Macrì, Tommaso; Cinti, Fabio

doi:10.1103/physrevb.105.134521

Cited by 6 publications

(1 citation statement)

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“…Bounded repulsive interaction potentials whose Fourier transform has a negative minimum are known to be responsible for the self-assembly of cluster structures in systems of fully penetrable particles [1][2][3][4]. In the last decades, these so-called ultrasoft systems have emerged as a preferential model to study interesting collective phenomena that belong to apparently distant domains, from cold atoms [5][6][7][8][9], vortex matter [10][11][12] and nuclear matter [13][14][15] to colloidal and polymeric systems [16][17][18][19][20]. In this way, the interest in describing the general properties of ultrasoft models and their connections to specific hamiltonians includes both theoretical and practical motivations.…”

Section: Introductionmentioning

confidence: 99%

Ultrasoft Classical Systems at Zero Temperature

Matheus

Díaz-Méndez

Mendoza-Coto

2023

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At low temperatures, classical ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study, we reach analytical expressions for the energy and the density interval of the coexistence regions for general ultrasoft pairwise potentials at zero temperatures. We use an expansion in the inverse of the number of particles per cluster for an accurate determination of the different quantities of interest. Differently from previous works, we study the ground state of such models, in two and three dimensions, considering an integer cluster occupancy number. The resulting expressions were successfully tested in the small and large density regimes for the Generalized Exponential Model α, varying the value of the exponent.

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