A Dirac-Fermions functional for Coulomb interaction on arbitrary (fractional) dimension: Energy and pressure

J. C. Flores

doi:10.1016/j.physleta.2021.127363

A Dirac-Fermions functional for Coulomb interaction on arbitrary (fractional) dimension: Energy and pressure

J. C. Flores

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Dirac-Fermions with interaction are considered directly by means of a simple Density Functional being the main concern the background energy as a function of the spatial dimension (fractional or not). The background energy grows as the dimension continuously rises. Comparison between the interacting and the non-interacting parts suggests that, around dimension two, both contributions are important. On the contrary, for dimensions other than two, interacting effects seem partially eclipsed (screening). Further, thermodynamics aspects related to dimension uncertainties are considered. Additionally, a massive branch appears.

Original language	English
Article number	127363
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	402
DOIs	https://doi.org/10.1016/j.physleta.2021.127363
State	Published - 28 Jun 2021

Keywords

Arbitrary dimension
Background energy
Dirac-Fermions
Electron-electron interaction
Free energy

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10.1016/j.physleta.2021.127363

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title = "A Dirac-Fermions functional for Coulomb interaction on arbitrary (fractional) dimension: Energy and pressure",

abstract = "Dirac-Fermions with interaction are considered directly by means of a simple Density Functional being the main concern the background energy as a function of the spatial dimension (fractional or not). The background energy grows as the dimension continuously rises. Comparison between the interacting and the non-interacting parts suggests that, around dimension two, both contributions are important. On the contrary, for dimensions other than two, interacting effects seem partially eclipsed (screening). Further, thermodynamics aspects related to dimension uncertainties are considered. Additionally, a massive branch appears.",

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N2 - Dirac-Fermions with interaction are considered directly by means of a simple Density Functional being the main concern the background energy as a function of the spatial dimension (fractional or not). The background energy grows as the dimension continuously rises. Comparison between the interacting and the non-interacting parts suggests that, around dimension two, both contributions are important. On the contrary, for dimensions other than two, interacting effects seem partially eclipsed (screening). Further, thermodynamics aspects related to dimension uncertainties are considered. Additionally, a massive branch appears.

AB - Dirac-Fermions with interaction are considered directly by means of a simple Density Functional being the main concern the background energy as a function of the spatial dimension (fractional or not). The background energy grows as the dimension continuously rises. Comparison between the interacting and the non-interacting parts suggests that, around dimension two, both contributions are important. On the contrary, for dimensions other than two, interacting effects seem partially eclipsed (screening). Further, thermodynamics aspects related to dimension uncertainties are considered. Additionally, a massive branch appears.

KW - Arbitrary dimension

KW - Background energy

KW - Dirac-Fermions

KW - Electron-electron interaction

KW - Free energy

UR - https://www.scopus.com/pages/publications/85104643111

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DO - 10.1016/j.physleta.2021.127363

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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M1 - 127363

ER -

A Dirac-Fermions functional for Coulomb interaction on arbitrary (fractional) dimension: Energy and pressure

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Keywords

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