Path-integral Monte Carlo study of electronic states in quantum dots in an external magnetic field
arXiv:1905.07802 · doi:10.1103/PhysRevB.100.165136
Abstract
We explore correlated electron states in harmonically confined few-electron quantum dots in an external magnetic field by the path-integral 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 correlations saturate with decreasing temperature, providing insight into the ground-state properties.
arXiv comment27 pages, 31 figures
References in corpus (30)
- The Statistical Theory of Quantum Dots
- Wigner Crystallization in mesoscopic 2D electron systems
- Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
- Capacitance spectroscopy in quantum dots: Addition spectra and decrease of tunneling rates
- Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
- Periodic and Aperiodic Bunching in the Addition Spectra of Quantum Dot
- Correlation Induced Inhomogeneity in Circular Quantum Dots
- Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields
- Multilevel blocking approach to the fermion sign problem in path-integral Monte Carlo simulations
- Wigner molecules in quantum dots
- Group theoretical analysis of symmetry breaking in two-dimensional quantum dots
- Formation and control of electron molecules in artificial atoms: Impurity and magnetic-field effects
- Strongly correlated wave functions for artificial atoms and molecules
- Path-integral Monte Carlo simulations for interacting few-electron quantum dots with spin-orbit coupling
- The interplay between shell effects and electron correlations in quantum dots
- Unrestricted Hartree-Fock for Quantum Dots
- Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields
- Spontaneous symmetry breaking in single and molecular quantum dots
- Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
- Coupling and Dissociation in Artificial Molecules
- Energy Spectra of Few-Electron Quantum Dots
- Impurity effects in few-electron quantum dots: Incipient Wigner molecule regime
- Quantum-dot lithium in strong-interaction regime: Depolarization of electron spins by magnetic field
- The maximum density droplet to lower density droplet transition in quantum dots
- Semiconductor quantum dots in high magnetic fields: The composite-fermion view
- Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
- Strongly correlated quantum dots in weak confinement potentials and magnetic fields
- Quantum dots in magnetic fields: thermal response of broken symmetry phases
- Path-integral Monte Carlo simulation of time-reversal noninvariant bulk systems with a case study of rotating Yukawa gases
- Multilevel blocking Monte Carlo simulations for quantum dots