# Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field

@article{THoke2019PathintegralMC, title={Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field}, author={Csaba THoke and Tam'as Haidekker Galambos}, journal={Physical Review B}, year={2019} }

We explore correlated electron states in harmonically confined few-electron quantum dots in an external magnetic field by the path-integal Monte Carlo method for a wide range of the field and the Coulomb interaction strength. Using the phase structure of a preceding unrestricted Hartree-Fock calculation for phase fixing, we find a rich variety of correlated states, often completely different from the prediction of mean-field theory. These are finite temperature results, but sometimes the…

## One Citation

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

- PhysicsNew Journal of Physics
- 2022

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)…

## References

SHOWING 1-10 OF 49 REFERENCES

### Quantum Monte Carlo study of composite fermions in quantum dots: The effect of Landau-level mixing

- Physics
- 2005

Composite fermion wave functions projected onto the lowest Landau level, provide an accurate description of two-dimensional quantum dots in the limit of strong magnetic fields. We show that the range…

### Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields

- Physics
- 2004

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in…

### FOUR-ELECTRON QUANTUM DOT IN A MAGNETIC FIELD

- Physics
- 2003

We present a theoretical treatment of four two-dimensional electrons in a harmonic confinement potential in the presence of an external magnetic field using the exact diagonalization approach. The…

### Wigner molecules in quantum dots

- Physics
- 2001

We perform unrestricted Hartree-Fock (HF) calculations for electrons in a parabolic quantum dot at zero magnetic field. The crossover from Fermi liquid to Wigner molecule behavior is studied for up…

### The interplay between shell effects and electron correlations in quantum dots

- Physics
- 2000

We use the path integral Monte Carlo method to investigate the interplay between shell effects and electron correlations in single quantum dots with up to 12 electrons. By use of an energy estimator…

### Spin and rotational symmetries in unrestricted Hartree–Fock states of quantum dots

- Physics
- 2007

Ground state energies are obtained using the unrestricted Hartree–Fock (HF) method for up to four interacting electrons parabolically confined in a quantum dot subject to a magnetic field. Restoring…

### Quantum dots in a magnetic field: Role of electron-electron interactions.

- PhysicsPhysical review letters
- 1990

The eigenstates of electrons interacting in quantum dots in a magnetic field are studied and their effects on the magnetic-field dependence of the energy spectrum are illustrated with the calculations of the electronic heat capacity.

### Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields

- Physics
- 2002

A new class of analytic wave functions is derived for two dimensional N-electron $(2l~Nl\ensuremath{\infty})$ systems in high magnetic fields. These functions are constructed through breaking (at the…

### Correlation-induced inhomogeneity in circular quantum dots

- Physics
- 2006

Properties of the ‘electron gas’—in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected—change dramatically depending on the balance between kinetic…

### Energy Spectra of Few-Electron Quantum Dots

- Physics
- 1997

We present the renormalized perturbation series for the energy spectrum of the parabolic quantum dot with 2 -- 5 electrons considering ground and the lowest excited states. The proper classification…