Computation of topological phase diagram of disordered Pb1−x_{1-x}Snx_{x}Te using the kernel polynomial method

We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Based on the kernel polynomial method, our algorithm allows us to study samples with more than $10^7$ degrees of freedom. Our method enables the study of large complex compounds, where disorder is inherent to the system. We use it to analyse Pb$_{1-x}$Sn$_{x}$Te and tighten the critical concentration for the phase transition.Comment: 4 pages + supplemental materia

Magnetocaloric effect and phase transformation in Ho 1-x Gd x Co 2 AND Ho 1-x Tb x Co 2 compounds

International audienceThe rare-earth transition metal intermetallics RCo 2 have attracted much attention due to their interesting magnetic properties related to the magnetic instability of the cobalt 3d electrons. This instability induces a first order magnetic transition (FOMT) leading to large magnetic entropy changes in some RCo 2 compounds such as ErCo 2 , HoCo 2 and DyCo 2. Here, we present recent results obtained with Ho 1-x Tb x Co 2 and Ho 1-x Gd x Co 2 solid solutions. Structural, magnetic phase transition and magnetocaloric properties of these materials (0 ≤ x ≤ 1) were investigated by X – ray diffraction and magnetic measurements and then analyzed in terms of Landau theory. The Ho 1-x Gd x Co 2 and Ho 1-x Tb x Co 2 alloys present the C15 cubic MgCu 2 – type structure. The cell parameter a and the Curie temperature T C both increase, increasing the Tb and Gd concentrations. T C shifts from 81 to 233 K (x = 0 to 1) for Ho 1-x Tb x Co 2 and from 81 to 300 K (x = 0 to 0.6) in the case of Ho 1-x Gd x Co 2. The change of isothermal entropy S Δ was calculated according to magnetic measurements, using the thermodynamic Maxwell's relation. Besides, the increase of T C is accompanied by a decrease of the entropy change. The reduction of the magnetocaloric effect (MCE) for Ho 1-x (Gd, Tb) x Co 2 compounds could be explained by the fact that substitution of Tb and Gd to Ho weakens and supersedes the field–induced magnetic transition existing close to T C and accordingly transforms the transition from first to second order type

Negative magnetocaloric effect in Fe 1-x Rh x compounds

International audienceOn increasing temperature, the Fe1-xRhx alloys present a transition from an antiferromagnetic to a ferromagnetic state, which induces a negative magnetocaloric effect (MCE). The magnetocaloric effect, in particular of the Fe0.49Rh0.51 alloy, was studied by direct measurements and accordingto specific heat measurements. Here, we report the recent results obtained on the annealed Fe0.48Rh0.52 compound we prepared by arc melting. The isothermal entropy change ΔS allowing an estimation of the MCE was determined from magnetic measurements. The ΔS experimentally found is larger than that reported for the annealed Fe0.49Rh0.51 sample. However a significant difference occurs between transition temperature of the annealed sample Fe0.48Rh0.52 and that reported in literature. This result shows that magnetic and magnetocaloric properties in this kind of materials are very sensitive to the technique of samples preparation. Besides, the magnetocaloric effect close the ferromagnetic – paramagnetic transition in Fe0.48Rh0.52 is also discussed

Neutron diffraction and magnetocaloric effect studies of MnFe 1-x Co x P series of solid solutions

International audienceMnFe 1-x Co x P intermetallic series of solid solutions (0.4<x<0.6) have been studied by means of powder neutron diffraction in 10−320 K temperature range. Rietveld analysis pointed out that Co 2 P-type orthorhombic crystal structure (SG: Pnma) presents for all series. Helicoidal incommensurate antiferromagnetic structure with propagation vector q = [0, 0, q] were evidenced for all compounds at low temperature range. The q value decreases with cobalt content and the second order polynomial q(x) it was evidenced, that is found well correlated with this dependence. Magnetic moments values of µ Mn =3.34 µ B and µ (Fe,Co) =0.06 µ B were determined from neutron diffraction refinements for x=0.4 at 10 K. In addition, magnetic interactions in relations with electronic band structure calculations of MnFe 1-x Co x P were presented and discussed reference to previous published data. Finally, magnetocaloric properties for selected compounds of the MnFe 1-x Co x P and MnFe 0.45 Co 0.45 P 0.9 Ge 0.1 series of compounds are presented

Giant magnetocaloric effect in Mn 1-t (Ti 0.5 V 0.5 ) t as compounds near room temperature

International audienceMn 1-t (Ti 0.5 V 0.5) t As compounds with t varying from 0 to 0.20 were synthesised by arc melting and subsequently annealed. The X-ray diffraction analysis reveals pure and fairly crystallised samples. Magnetisation measurements show that the Curie temperature decreases to room temperature with t the substitution rate. The sharp and abrupt character of the 1 st order transition of MnAs-type turns to a less marked variation of the magnetic entropy in the vicinity of the transition temperature, profit made to a wider temperature range of MCE efficiency

Analysis and modeling of magnetocaloric effect near magnetic phase transition temperature

International audienceMagnetocaloric behavior of gadolinium near room temperature can be correctly described by the Weiss molecular field theory especially in the paramagnetic state. In this paper, this approach is generalized for binary rare earth alloys which present as Gd a second order phase transition. The magnetic entropy variation can be calculated as a function of the temperature and the applied field. This model was tested on a laboratory synthesized samples of Gd-Tb. The agreement between calculations and experiments shows that this model can be easily used for these alloys in order to optimize their composition and adjust their Curie temperatures. For first order transition materials, the observed magnetocaloric effect enhancement can be explained by magnetoelastic effects which are due to the spontaneous crystal deformation and the structure transformation. A model based on the phenomenological approach of Bean Rodbell is developed to describe such a behavior. It highlights the link between the nature of magnetic transition and the magnetocaloric effect. It can be identified by only two parameters: T 0 the Curie temperature without deformation and η an order parameter which characterizes the transition nature. In this paper we apply this model to describe the giant magnetocaloric effect exhibited by the new Mn 1-x (Ti 0.5 V 0.5) x As materials

The transition to collective motion in nonreciprocal active matter: coarse graining agent-based models into fluctuating hydrodynamics

Two hallmarks of non-equilibrium systems, from active colloids to animal herds, are agents motility and nonreciprocal interactions. Their interplay creates feedback loops leading to complex spatiotemporal dynamics crucial to understand and control the nonlinear response of active systems. Here, we introduce a minimal model that captures these two features at the microscopic scale, while admitting an exact hydrodynamic theory valid also in the fully-nonlinear regime. Our goal is to account for the fact that animal herds and colloidal swarms are rarely in the thermodynamic limit where particle number fluctuations can be completely ignored. Using statistical mechanics techniques we exactly coarse-grain a nonreciprocal microscopic model into a fluctuating hydrodynamics and use dynamical systems insights to analyze the resulting equations. In the absence of motility, we find two transitions to oscillatory phases occurring via distinct mechanisms: a Hopf bifurcation and a Saddle-Node on Invariant Circle (SNIC) bifurcation. In the presence of motility, this rigorous approach, complemented by numerical simulations, allows us to quantitatively assess the hitherto neglected impact of inter-species nonreciprocity on a paradigmatic transition in active matter: the emergence of collective motion. When nonreciprocity is weak, we show that flocking is accelerated and bands tend to synchronize with a spatial overlap controlled by nonlinearities. When nonreciprocity is strong, flocking is superseded by a Chase & Rest dynamical phase where each species alternates between a chasing state, when they propagate, and a resting state, when they stand still. Finally, we demonstrate how fluctuations in finite systems can be harnessed to characterize microscopic non-reciprocity from macroscopic time-correlation functions, even in phases where nonreciprocal interactions do not affect the thermodynamic steady-state

Sociohydrodynamics: data-driven modelling of social behavior

Living systems display complex behaviors driven not only by physical forces, but also decision-making guided by information processing and molded by cultural and/or biological evolution. Hydrodynamic theories hold promise for simplified, universal descriptions of these collective behaviors. However, incorporating the individual preferences of decision-making organisms into a hydrodynamic theory is an open problem. Here, we develop a data-driven pipeline that links micromotives to macrobehavior by augmenting hydrodynamics with utility functions that describe individual preferences in microeconomics. We show how to systematically validate the hypotheses underlying this construction from data using statistical tools based on neural networks. We illustrate this pipeline on the case study of human residential dynamics in the United States, for which census and sociological data is available, and show how trends in sociological surveys can be related to trends seen in racial segregation. In particular, we highlight that a history-dependence in the segregation-integration transition can arise even when agents have no memory. Beyond residential segregation, our work paves the way for systematic investigations of social-driven motility in real space from micro-organisms to humans, as well as fitness-mediated motion in more abstract genomic spaces

Sociohydrodynamics: Data-driven modeling of social behavior

Living systems display complex behaviors driven by physical forces as well as decision-making. Hydrodynamic theories hold promise for simplified universal descriptions of socially generated collective behaviors. However, the construction of such theories is often divorced from the data they should describe. Here, we develop and apply a data-driven pipeline that links micromotives to macrobehavior by augmenting hydrodynamics with individual preferences that guide motion. We illustrate this pipeline on a case study of residential dynamics in the United States, for which census and sociological data are available. Guided by Census data, sociological surveys, and neural network analysis, we systematically assess standard hydrodynamic assumptions to construct a sociohydrodynamic model. Solving our minimal hydrodynamic model, calibrated using statistical inference, qualitatively captures key features of residential dynamics at the level of individual US counties. We highlight that a social memory, akin to hysteresis in magnets, emerges in the segregation–integration transition even with memory-less agents. While residential segregation is a multifactorial phenomenon, this physics analogy suggests a simple mechanistic explanation for the phenomenon of neighborhood tipping, whereby a small change in a neighborhood’s population leads to a rapid demographic shift. Beyond residential segregation, our work paves the way for systematic investigations of decision-guided motility in real space, from micro-organisms to humans, as well as fitness-mediated motion in more abstract spaces.</p