# Thomas-Fermi-von Weizsäcker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas

@article{Zyl2013ThomasFermivonWT, title={Thomas-Fermi-von Weizs{\"a}cker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas}, author={Brandon P. van Zyl and Eugene Zaremba and P. Pisarski}, journal={Physical Review A}, year={2013}, volume={87}, pages={043614} }

We systematically develop a density functional description for the equilibrium properties of a two-dimensional, harmonically trapped, spin-polarized dipolar Fermi gas based on the Thomas- Fermi von Weizsacker approximation. We pay particular attention to the construction of the two- dimensional kinetic energy functional, where corrections beyond the local density approximation must be motivated with care. We also present an intuitive derivation of the interaction energy functional associated…

## 11 Citations

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…

Assessment of local density approximation based exchange–correlation functional for a two-dimensional spin polarized dipolar Fermi gas

- PhysicsThe European Physical Journal D
- 2018

Abstract
In this paper we assess the accuracy of the local density approximation (LDA) based expressions for exchange and correlation functionals associated with a two-dimensional, spin-polarized,…

Density functional theory investigation of two-dimensional dipolar fermions in a harmonic trap

- Chemistry
- 2014

We investigate the behavior of polarized dipolar fermions in a two-dimensional harmonic trap in the framework of the density functional theory (DFT) formalism using the local density approximation.…

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…

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

- Physics
- 2016

The semiclassical $\hbar$-expansion of the one-particle density matrix for a two-dimensional Fermi gas is calculated within the Wigner transform method of Grammaticos and Voros, originally developed…

Extended hydrodynamics of degenerate partially spin polarized fermions with short-range interaction up to the third order by interaction radius approximation

- Physics
- 2020

The possibility of the hydrodynamic description of ultracold fermions via the microscopic derivation of the model is described. Differently truncated hydrodynamic models are derived and compared. All…

Self-bound Bose–Fermi liquids in lower dimensions

- PhysicsNew Journal of Physics
- 2019

We study weakly interacting mixtures of ultracold atoms composed of bosonic and fermionic species in 2D and 1D. When interactions between particles are appropriately tuned, self-bound quantum liquids…

Symmetry-Broken Phase Separation of a Two-Component Dipolar Fermi Gas in a Spherically Symmetric Harmonic Trap

- Physics
- 2017

We study the ground state of a two-component dipolar Fermi gas in a spherically symmetric harmonic trap at zero temperature. On the basis of the Thomas–Fermi–von Weizsacker approximation, we obtain a…

## References

SHOWING 1-10 OF 30 REFERENCES

Density Functional Theory: An Approach to the Quantum Many-Body Problem

- Mathematics
- 1991

Density functional theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid state and nuclear physics. This text describes the conceptual…

Phys

- Rev. A 83, 052517
- 2011

Phys

- Rev. Lett. 101, 245301
- 2008

Semiclassical Physics

- Frontiers in Physics, Vol. 96, Addison-Wesley, Reading, MA
- 2003

Table of inegrals

- series, and products, 4-th ed. Academic Press Inc., New York
- 1980

Phys

- Rev. 140 A1133
- 1965

Phys

- Rev. Lett. 108, 080405
- 2012

Phys

- Rev. Lett. 108 215301
- 2012

R

- van Leeuwen, J. G. Bilhena, and M. A. L. Marques, Phys. Rev. B 85, 165101
- 2012