Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots
arXiv:cond-mat/0411592 · doi:10.1103/PhysRevB.71.201310
Abstract
When treating interactions in quantum dots within a RPA-like approach, time-reversal symmetry plays an important role as higher-order terms -- the Cooper series -- need to be included when this symmetry is present. Here we consider model quantum dots in a magnetic field weak enough to leave the dynamics of the dot chaotic, but strong enough to break time-reversal symmetry. The ground state spin and addition energy for dots containing 120 to 200 electrons are found using local spin density functional theory, and we compare the corresponding distributions with those derived from an RPA-like treatment of the interactions. The agreement between the two approaches is very good, significantly better than for analogous calculations in the presence of time-reversal symmetry. This demonstrates that the discrepancies between the two approaches in the time-reversal symmetric case indeed originate from the Cooper channel, indicating that these higher-order terms might not be properly taken into account in the spin density functional calculations.
4 pages, 3 figures
References in corpus (13)
- Coherent manipulation of electronic states in a double quantum dot
- Quantum Effects in Coulomb Blockade
- Fluctuations of Conductance Peak Spacings in the Coulomb Blockade Regime: Role of Electron-Electron Interaction
- Current density functional theory of quantum dots in a magnetic field
- Spin and Polarized Current from Coulomb Blockaded Quantum Dots
- Conjugate-Gradient Optimization Method for Orbital-free Density Functional Calculations
- Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
- Chaos and Interacting Electrons in Ballistic Quantum Dots
- Spin and Conductance-Peak-Spacing Distributions in Large Quantum Dots: A Density Functional Theory Study
- Spin and e-e interactions in quantum dots: Leading order corrections to universality and temperature effects
- Coulomb Blockade Peak Spacing Distribution: The Interplay of Temperature and Spin
- Electron-Electron Interactions in Isolated and Realistic Quantum Dots: A Density Functional Theory Study
- Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots