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The contact of metal and semiconductor can lead to the formation of a junction with either Schottky or Ohmic behavior.
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  • 1CONICET, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, (INIFTA), UNLP, CCT La Plata-, Sucursal 4, Casilla de Correo 16, (1900) La Plata, Argentina.

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Density-functional theory approximations for exchange-correlation energy functionals were clarified. New findings reveal universal, electron-density independent asymptotics for metal surface potentials and energies in vacuum.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Chemistry
  • Computational Materials Science

Background:

  • Density-functional theory (DFT) relies on approximations for the exchange-correlation (xc) energy functional.
  • Understanding the asymptotic behavior of xc energy and potential is crucial for accurate DFT calculations.
  • Previous studies have not definitively characterized these asymptotics near metal surfaces.

Purpose of the Study:

  • To determine the definitive asymptotic behavior of the xc energy per particle and potential in the vacuum region of metal surfaces.
  • To resolve discrepancies in previous theoretical conclusions regarding these asymptotics.

Main Methods:

  • Theoretical analysis of the exchange-correlation energy functional and potential.
  • Investigation of both extended semi-infinite metal surfaces and localized metal slabs.

Main Results:

  • The xc energy per particle and potential exhibit universal, electron-density independent asymptotics in the vacuum region.
  • These asymptotics are always negative and inversely proportional to the distance from the surface.
  • For extended systems, correlation dominates the asymptotics; for metal slabs, exchange dominates, similar to finite systems.

Conclusions:

  • This study provides a conclusive description of xc asymptotics at metal surfaces.
  • The findings highlight the distinct asymptotic behaviors between extended metals and finite metal slabs.
  • The results offer critical insights for developing more accurate exchange-correlation functionals in DFT.