activity
20182026
most citedEpidemics, the Ising-model and percolation theory: a comprehensive review focussed on Covid-19

58 citations · 132 across the 17 of their papers we have counts for

collaborators

18 papers

cond-mat.stat-mech2026

A few remarks on hyperstatistics and some applications

Lucas Squillante, Samuel M. Soares, Guilherme Lepski +1

In a recent paper [arXiv:2604.24783 (2026)], we have proposed a general approach to treat systems with inherent non-Boltzmann-Gibbsian behaviour. Given the extremely high accuracy…

cond-mat.stat-mech2026

Hyperstatistics

Lucas Squillante, Samuel M. Soares, Constantino Tsallis +1

We propose a general approach, named by us hyperstatistics, to treat complex systems, in which Boltzmann-Gibbs statistics breaks down at the domain level of the system. Hyperstatis…

quant-ph2026

Universal and non-universal facets of quantum critical phenomena unveiled along the Schmidt decomposition theorem

Samuel M. Soares, Lucas Squillante, Henrique S. Lima +2

Critical phenomena have been extensively investigated both theoretically and experimentally in many fields, such as condensed matter physics, biology, e.g., brain criticality, and…

cond-mat.mtrl-sci2025★ 3 cited

Magnetostriction as the origin of the magnetodielectric effect in La2CoMnO6

M. Boldrin, A. Bagri, D. Barlettani +12

The La2CoMnO6 (LCMO) perovskite has received a lot of attention due to its near room temperature magnetodielectric effect. Despite the recent efforts, the mechanism ruling the corr…

cond-mat.mes-hall2025

Impact of Broken Inversion Symmetry on Molecular States in multi-Weyl fermions

W. C. Silva, J. E. Sanches, D. S. Rojo +6

We study inversion-symmetry (IS) breaking in impurity dimers coupled to topological multi-Weyl systems in the low-energy dispersion domain. In the IS-preserved multi-Weyl semimetal…

cond-mat.str-el2024

The Grüneisen parameter applied to critical phenomena and experimental investigations of correlated phenomena in molecular conductors

Lucas Squillante

In this Ph.D. Thesis, a systematic review is performed on the derivation and generalization of the Grüneisen parameter followed by its unprecedented applications to several distinc…

cond-mat.stat-mech2024

Unveiling the interdisciplinary character of negative pressure

Francisco F. Barbosa, Lucas Squillante, Luciano Ricco +3

We explore the concept of negative pressure and its relevance in a variety of physical contexts: the expansion of the universe, mixture theory, cavitation, and the capillary effect…

cond-mat.str-el2024

Higgs-like stiffness and fractons on the verge of phase transitions

Lucas Squillante, Antonio C. Seridonio, Roberto E. Lagos-Monaco +1

In condensed matter Physics, massive longitudinal Higgs modes emerge from fluctuations of the order parameter. A few years ago, the Higgs mode was \emph{caught} experimentally in t…

physics.bio-ph2024★ 1 cited

Cellular Griffiths-like phase

Lucas Squillante, Isys F. Mello, Luciano S. Ricco +5

Protein compartmentalization in the frame of a liquid-liquid phase separation is a key mechanism to optimize spatiotemporal control of biological systems. Such a compartmentalizati…

gr-qc2024★ 3 cited

Exploring the expansion of the universe using the Grüneisen parameter

Lucas Squillante, Gabriel O. Gomes, Isys F. Mello +4

For a perfect fluid, pressure and energy density are related via the equation of state (EOS) , where is the EOS parameter, being its interpretation usually cons…

cond-mat.stat-mech2024

Universally non-diverging Grüneisen parameter at critical points

Samuel M. Soares, Lucas Squillante, Henrique S. Lima +2

According to Boltzmann-Gibbs (BG) statistical mechanics, the thermodynamic response, such as the isothermal susceptibility, at critical points (CPs) presents a divergent-like behav…

quant-ph2023★ 12 cited

Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem

Lucas Squillante, Luciano S. Ricco, Aniekan Magnus Ukpong +3

The Grüneisen ratio , i.e., the singular part of the ratio of thermal expansion to the specific heat, has been broadly employed to explore both finite- and quantum critical p…

cond-mat.str-el2020★ 7 cited

Unveiling the Physics of the Mutual Interactions in Paramagnets

Lucas Squillante, Isys F. Mello, Gabriel O. Gomes +4

In real paramagnets, there is always a subtle many-body contribution to the system's energy, which can be regarded as a small effective local magnetic field . Usually, it…

cond-mat.mtrl-sci2020

Giant caloric effects close to critical end point

Lucas Squillante, Isys F. Mello, A. C. Seridonio +1

The electrocaloric effect (ECE), i.e., the reversible temperature change due to the adiabatic variation of the electric field, is of great interest due to its potential technologic…

cond-mat.str-el2020★ 21 cited

Griffiths-like phase close to the Mott transition

Isys F. Mello, Lucas Squillante, Gabriel O. Gomes +2

We explore the coexistence region in the vicinity of the Mott critical end point employing a compressible cell spin- Ising-like model. We analyze the case for the spin-liquid…

q-bio.PE2020★ 58 cited

Epidemics, the Ising-model and percolation theory: a comprehensive review focussed on Covid-19

Isys F. Mello, Lucas Squillante, Gabriel O. Gomes +2

We revisit well-established concepts of epidemiology, the Ising-model, and percolation theory. Also, we employ a spin = 1/2 Ising-like model and a (logistic) Fermi-Dirac-like f…

cond-mat.str-el2019★ 18 cited

The Magnetic Grüneisen Parameter for Model Systems

Gabriel Gomes, Lucas Squillante, A. C. Seridonio +3

The magneto-caloric effect (MCE), which is the refrigeration based on the variation of the magnetic entropy, is of great interest in both technological applications and fundamental…

cond-mat.str-el2018★ 9 cited

Probing the Ionic Dielectric Constant Contribution in the Ferroelectric Phase of the Fabre-Salts

Mariano de Souza, Lucas Squillante, Cesar Sônego +3

In strongly correlated organic materials it has been pointed out that charge-ordering could also achieve electronic ferroelectricity at the same critical temperature . A pr…