Dirac node lines (DNLs) are characterized by Dirac-type linear crossings between valence and conduction bands along one-dimensional node lines in the Brillouin zone (BZ). Spin-orbit coupling (SOC) usually shifts the d...
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Dirac node lines (DNLs) are characterized by Dirac-type linear crossings between valence and conduction bands along one-dimensional node lines in the Brillouin zone (BZ). Spin-orbit coupling (SOC) usually shifts the degeneracy at the crossings thus destroys DNLs, and so far the reported DNLs in a few materials are noninteracting type, making the search for robust interacting DNLs in real materials appealing. Here, via first-principle calculations, we reveal that Kondo interaction together with nonsymmorphic lattice symmetries can drive a robust interacting DNLs in a Kondo semimetal CePt2Si2, and the feature of DNLs can be significantly manipulated by Kondo behavior in different temperature regions. Based on the density functional theory combining with dynamical mean-field theory (DFT+DMFT), we predict a transition to Kondo-coherent state at coherent temperature Tcoh≈80 K upon cooling, verified by temperature dependence of Ce−4f self-energy, Kondo resonance peak, magnetic susceptibility, and momentum-resolved spectral function. Below Tcoh, well-resolved narrow heavy-fermion bands emerge near the Fermi level, constructing clearly visualized interacting DNLs locating at the BZ boundary, in which the Dirac fermions have strongly enhanced effective mass and reduced velocity. In contrast, above a crossover temperature TKS≈600 K, the destruction of local Kondo screening drives noninteracting DNLs, which are comprised by light conduction electrons at the same location. These DNLs are protected by lattice nonsymmorphic symmetries thus robust under intrinsic strong SOC. Our proposal of DNLs, which can be significantly manipulated according to Kondo behavior provides an unique realization of interacting Dirac semimetals in real strongly correlated materials, and serves as a convenient platform to investigate the effect of electronic correlations on topological materials.
Artificial Intelligence (AI) is transforming industries by analyzing large amounts of data to find patterns and make decisions more efficiently than ever before. Neural networks, which are inspired by the human brain,...
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Recent advances in quasi-Monte Carlo integration have demonstrated that the median trick significantly enhances the convergence rate of linearly scrambled digital net estimators. In this work, we leverage the quantile...
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In this work, the matrix-free solution of quasi-static phase-field fracture problems is further investigated. More specifically, we consider a quasi-monolithic formulation in which the irreversibility constraint is im...
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We introduce the notion of $ P -$functions for fully nonlinear equations and establish a general criterion for obtaining such quantities for this class of equations. Some applications are gradient bounds, De Giorgi-ty...
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To fill the gap between accurate(and expensive)ab initio calculations and efficient atomistic simulations based on empirical interatomic potentials,a new class of descriptions of atomic interactions has emerged and be...
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To fill the gap between accurate(and expensive)ab initio calculations and efficient atomistic simulations based on empirical interatomic potentials,a new class of descriptions of atomic interactions has emerged and been widely applied;*** learning potentials(MLPs).One recently developed type of MLP is the deep potential(DP)*** this review,we provide an introduction to DP methods in computational materials *** theory underlying the DP method is presented along with a step-by-step introduction to their development and *** also review materials applications of DPs in a wide range of materials *** DP Library provides a platform for the development of DPs and a database of extant *** discuss the accuracy and efficiency of DPs compared with ab initio methods and empirical potentials.
We investigate the time-asymptotically nonlinear stability of rarefaction waves to the Cauchy problem of a one-dimensional compressible Navier-Stokes type system for a viscous,compressible,radiative and reactive gas,w...
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We investigate the time-asymptotically nonlinear stability of rarefaction waves to the Cauchy problem of a one-dimensional compressible Navier-Stokes type system for a viscous,compressible,radiative and reactive gas,where the constitutive relations for the pressure p,the speci c internal energy e,the speci c volume v,the absolute temperature θ,and the specific entropy s are given by p=Rθv+aθ^(4)/3,e=C_(v)θ+avθ^(4),and s=C_(v)lnθ+4avθ^(3)/3+Rln v with R>0,C_(v)>0 and a>0 being the perfect gas constant,the speci c heat and the radiation constant,*** such a specific gas motion,a somewhat surprising fact is that,generally speaking,the pressure p(v,s)is not a convex function of the specific volume v and the specific entropy *** so,we show in this paper that the rarefaction waves are time-asymptotically stable for large initial perturbation provided that the radiation constant a and the strength of the rarefaction waves are sufficiently *** key point in our analysis is to deduce the positive lower and upper bounds on the specific volume and the absolute temperature,which are uniform with respect to the space and the time variables,but are independent of the radiation constant a.
Text classification, also commonly known as text categorization, is the process of assigning labels or tags to textual data. To solve this problem different models are used, based on machine learning algorithms, as we...
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The linear charge transport properties of Weyl semimetals, such as negative magnetoresistance related to chiral anomaly, have been studied extensively. In this work, the nonlinear current response of Weyl semimetals t...
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The linear charge transport properties of Weyl semimetals, such as negative magnetoresistance related to chiral anomaly, have been studied extensively. In this work, the nonlinear current response of Weyl semimetals to a strong dc-ac electric field in the ultraquantum regime with a strong magnetic field is explored by employing a nonperturbative treatment based on the stochastic Liouville equation. Our systematic studies of nonlinear charge transport for two types of ac fields (the cosinusoidal electric field and the periodic pulsed field) have revealed extraordinary modulation of nonlinear current response by the ac fields. For the case with the cosinusoidal electric field, we find the following: (i) in the high-frequency regime, dynamic localization (vanishing of current) and quasienergy band collapse occur under a suitable condition of J0(eEAdℏω0)=0, where J0 is the Bessel function with EA and ω0 being the strength and frequency of the ac field, and d denoting the lattice constant of Weyl semimetals; and (ii) in the intermediate- and low-frequency regimes, the multiple-photon-assisted transport leads to extremal values of current responses whose patterns can be tuned by the magnetic field. As for the pulsed electric field, our results show that (i) the dynamic localization and quasienergy band collapse appear under a different condition of cos(eEAdℏω0)=0; and (ii) the influence of the ac field on the current response disappears when eEAdℏω0=mπ, with m being an integer. The experimental conditions are also discussed and the predicted nonlinear transport effects could be observed in experiments.
We improve bounds on the degree and sparsity of Boolean functions representing the Legendre symbol as well as on the Nth linear complexity of the Legendre sequence. We also prove similar results for both the Liouville...
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