# Airy-averaged gradient corrections for two-dimensional fermion gases

@article{Trappe2016AiryaveragedGC, title={Airy-averaged gradient corrections for two-dimensional fermion gases}, author={Martin Trappe and Yink Loong Len and Hui Khoon Ng and Berthold-Georg Englert}, journal={arXiv: Quantum Gases}, year={2016} }

## 8 Citations

### Density-potential functional theory for fermions in one dimension

- Physics
- 2021

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg–Kohn density functional theory. DPFT resolves the usual trouble with the…

### Phase transitions of repulsive two-component Fermi gases in two dimensions

- PhysicsNew Journal of Physics
- 2021

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic…

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

- PhysicsPhysical Review B
- 2019

We present systematic ab initio calculations of the puddle correlations between adjacent layers of two-dimensional materials in the presence of both charged impurity and strain disorder potentials…

### Systematic corrections to the Thomas–Fermi approximation without a gradient expansion

- PhysicsNew Journal of Physics
- 2018

We improve on the Thomas–Fermi approximation for the single-particle density of fermions by introducing inhomogeneity corrections. Rather than invoking a gradient expansion, we relate the density to…

### Julian Schwinger and the semiclassical atom

- PhysicsJulian Schwinger Centennial Conference
- 2019

In the early 1980s, Schwinger made seminal contributions to the semiclassical theory of atoms. There had, of course, been earlier attempts at improving upon the Thomas--Fermi model of the 1920s. Yet,…

### Universal Functionals in Density Functional Theory

- Mathematics
- 2019

In this chapter we first review the Levy-Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given density. We discuss…

### Self-consistent assessment of Englert-Schwinger model on atomic properties.

- PhysicsThe Journal of chemical physics
- 2017

Our manuscript investigates a self-consistent solution of the statistical atom model proposed by Berthold-Georg Englert and Julian Schwinger (the ES model) and benchmarks it against atomic Kohn-Sham…

### A mechanistic density functional theory for ecology across scales

- Environmental SciencebioRxiv
- 2021

D density functional theory is used, a computational method for many-body problems in physics, to develop a novel computational framework for ecosystem modelling that provides a promising new avenue for understanding how ecosystems operate and facilitates quantitative assessment of interventions.

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