arXiv subjects

S. Selenu

Publications and source records attributed to S. Selenu.

6 recordsLinked to original sources

arXiv2021

Topological invariants of electronic currents in magnetic fields

In this article it is reported a formulation of the solenoidal nature of quantum electronic currents at the nanoscale whose divergence is expressed as the coupling of a magnetic field, interacting with a quantum body, and a weighted Cern invariant vector making then a direct topological interpretation of this quantum magnetic phenomenon. Also a Fourier analysis of the signaling of electronic waves is reported in an ab initio formalism from first pinciples\cite{Martin}.

cond-mat.mtrl-sci↗

arXiv2021

Macroscopic magnetization in uniform magnetic fields

The finding of a new formulation of the magnetization vector of a quantum system interacting with a static uniform magnetic field\cite{Selenu1} is reported. There a gauge invariant form of its divergence is shown being expressed as a function of the electronic current per state coupled with the Berry curvature of the quantum system. A Fourier analysis of the magnetization vector and magnetization density is reported as an application of the presented formula it could be applied in the context of computational modelling\cite{Martin} of quantum matter.

cond-mat.mtrl-sci↗

arXiv2020

Adiabatic Variations of Quantum Heat of a quantum body

In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a quantum system allows to derive strightly the electronic Heat variations of a quantum electronic system, in its condensed phase of eigenstates, showing its agreement with classical thermodynamics, making then possible to desing ab inito quantum models of the electronic structure in its thermodynamical states.

cond-mat.mtrl-sci↗

arXiv2020

DFT quantization of the Gibbs Free Energy of a quantum body

In this article it is introduced a theoretical model made in order to perform calculations of the quantum heat of a body that could be acquired or delivered during a thermal transformation of its quantum states. Here the model is mainly targeted to the electronic structure of matter[1] at the nano and micro scale where DFT models have been frequently developed of the total energy of quantum systems. Defining an Entropy functional $S[ρ]$ makes us able optimizing a free energy $G[ρ]$ of the quantum system at finite temperatures. Due to the generality of the model, the latter can be also applied to several first principles computational codes where ab initio modelling of quantum matter is asked.

cond-mat.mtrl-sci↗

arXiv2020

Quantum body in uniform magnetic fields

In this article it will be presented the first attempt made in order to perform gauge invariant calculations of eigenstates of a quantum body in its condensed phase, the latter reacting to an external uniform magnetic field. The target is achieved introducing a new unitary translation operator transforming eigenstates into a new set of eigenstates having different total linear momentum. This new quantum representation solves the problem of calculating the magnetic response of quantum eigenstates of finite or either infinite periodic systems to uniform magnetic fields, where equivalence between the customarily used representation and the new representation has been made.

cond-mat.mtrl-sci↗

arXiv2020

Quantum body in uniform electric fields

The advent in this century of nano and microelectronics requires, by part of physicists and engineers, the need of an explanation of electrical phenomena such as the interaction of a body with external electric fields at its atomic level,i.e. where is the case of the appearance of the quantum nature of phenomena involved in the projecting of nano an micro devices. It is mainly focused in this article the problem of calculating eigenstates of quantum matter interacting with a uniform external electric field, whose solution is reported via a DFT(Density Functional Theory) variational approach[3,4].

cond-mat.mtrl-sci↗