• Corpus ID: 245668707

# Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study

@inproceedings{Dornheim2022AbnormalSF,
title={Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study},
author={Tobias Dornheim and Yangqian Yan},
year={2022}
}
• Published 4 January 2022
• Physics
We present extensive new direct path-integral Monte Carlo results for electrons in quantum dots in two and three dimensions. This allows us to investigate the nonclassical rotational inertia (NCRI) of the system, and we find an abnormal negative superfluid fraction [Phys. Rev. Lett. 112, 235301 (2014)] under some conditions. In addition, we study the structural properties by computing a sophisticated center-two particle correlation function. Remarkably, we find no connection between the spatial…

## References

SHOWING 1-10 OF 87 REFERENCES

### Path-integral Monte Carlo simulations of quantum dipole systems in traps: Superfluidity, quantum statistics, and structural properties

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and

### Attenuating the fermion sign problem in path integral Monte Carlo simulations using the Bogoliubov inequality and thermodynamic integration.

• Physics
The Journal of chemical physics
• 2020
This work extends the proposed approach to alleviate the FSP based on the Bogoliubov inequality by adding a parameter that controls the perturbation, allowing for an extrapolation to the exact result, and can also be adapted to other simulation methods.

### Fermion sign problem in path integral Monte Carlo simulations: Quantum dots, ultracold atoms, and warm dense matter.

This paper presents a hands-on discussion of the FSP and investigates in detail its manifestation with respect to temperature, system size, interaction-strength and -type, and the dimensionality of the system.

### INTERACTING ELECTRONS IN PARABOLIC QUANTUM DOTS: ENERGY LEVELS, ADDITION ENERGIES, AND CHARGE DISTRIBUTIONS

• Physics
• 2001
We investigate the properties of interacting electrons in a parabolic confinement. To this end we numerically diagonalize the Hamiltonian using the Hartree-Fock based diagonalization method which is

### ATOMIC-SCALE QUANTUM SOLVATION STRUCTURE IN SUPERFLUID HELIUM-4 CLUSTERS

• Physics, Chemistry
• 1999
The local superfluid density around a molecule embedded in a ${}^{4}{\mathrm{He}}_{N}$ cluster at low temperatures is analyzed using the path-integral Monte Carlo method. The molecular interaction

### Ab initio quantum Monte Carlo simulations of the uniform electron gas without fixed nodes: The unpolarized case

• Physics
• 2016
In a recent publication [S. Groth et al., Phys. Rev. B 93, 085102 (2016)], we have shown that the combination of two complementary quantum Monte Carlo approaches, namely configuration path integral

### Shell Filling and Spin Effects in a Few Electron Quantum Dot.

• Physics
Physical review letters
• 1996
Coulomb oscillations in vertical quantum dots containing a tunable number of electrons starting from zero are measured, as predicted by Hund’s rule, to favor the filling of parallel spins.

### Ab initio Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter.

• Physics
Physical review letters
• 2018
This work presents the first ab initio results for S(q,ω) by carrying out extensive path integral Monte Carlo simulations and developing a new method for the required analytic continuation, which is based on the stochastic sampling of the dynamic local field correction G( q,ω).

### Superfluidity of strongly correlated bosons in two- and three-dimensional traps

• Physics
• 2015
We analyze the superfluid phase transition of harmonically confined bosons with long-range interaction in both two and three dimensions in a broad parameter range from weak to strong coupling. We

### The Superfluid Phases Of Helium 3

• Physics
• 1990
A comprehensive treatment of the theory of superfluid helium-3 is presented in this book. This treatment also illustrates many of the principal themes of theoretical condensed matter physics over the