Gradient correction and Bohm potential for two‐and one‐dimensional electron gases at a finite temperature

ZA Moldabekov, M Bonitz… - Contributions to Plasma …, 2017 - Wiley Online Library
From the static polarization function of electrons in the random phase approximation, the
quantum Bohm potential for the quantum hydrodynamic description of electrons and the …

Plasmon excitation in metal slab by fast point charge: The role of additional boundary conditions in quantum hydrodynamic model

YY Zhang, SB An, YH Song, N Kang, ZL Mišković… - Physics of …, 2014 - pubs.aip.org
We study the wake effect in the induced potential and the stopping power due to plasmon
excitation in a metal slab by a point charge moving inside the slab. Nonlocal effects in the …

Leading gradient correction to the kinetic energy for two-dimensional fermion gases

MI Trappe, YL Len, HK Ng, CA Müller, BG Englert - Physical Review A, 2016 - APS
Density-functional theory (DFT) is notorious for the absence of gradient corrections to the
two-dimensional (2D) Thomas-Fermi kinetic-energy functional; it is widely accepted that the …

Airy-averaged gradient corrections for two-dimensional fermion gases

MI Trappe, YL Len, HK Ng, BG Englert - Annals of Physics, 2017 - Elsevier
Building on the discussion in Trappe et al.(2016), we present a systematic derivation of
gradient corrections to the kinetic-energy functional and the one-particle density, in …

First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures

MI Trappe, DYH Ho, S Adam - Physical Review B, 2019 - APS
We present systematic ab initio calculations of the charge carrier correlations between
adjacent layers of two-dimensional materials in the presence of both charged impurity and …

Preserving the Hermiticity of the one-body density matrix for a non-interacting Fermi gas

L Farrell, D Eaton, P Chitnelawong… - Journal of Physics A …, 2024 - iopscience.iop.org
The one-body density matrix (ODM) for a zero temperature non-interacting Fermi gas can be
approximately obtained in the semiclassical regime through different hbar-expansion …

Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas

BP van Zyl, W Kirkby, W Ferguson - Physical Review A, 2015 - APS
Density-functional theory is utilized to investigate the zero-temperature transition from a
Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in a …

Kohn-Sham theory of a rotating dipolar Fermi gas in two dimensions

F Ancilotto - Physical Review A, 2015 - APS
A two-dimensional dipolar Fermi gas in a harmonic trap under rotation is studied by solving
ab initio Kohn-Sham equations. The physical parameters used match those of an ultracold …

Kohn-Sham approach to Fermi gas superfluidity: The bilayer of fermionic polar molecules

F Ancilotto - Physical Review A, 2016 - APS
By using a well-established “ab initio” theoretical approach developed in the past to
quantitatively study the superconductivity of condensed matter systems, based on the Kohn …

Manifestly Hermitian semiclassical expansion for the one-particle density matrix of a two-dimensional Fermi gas

K Bencheikh, BP Van Zyl, K Berkane - Physical Review B, 2016 - APS
The semiclassical ℏ expansion of the one-particle density matrix for a two-dimensional
Fermi gas is calculated within the Wigner transform method of B. Grammaticos and A. Voros …