Compressibility, capacitance and ground state energy fluctuations in a weakly interacting quantum dot
arXiv:cond-mat/9610214 · doi:10.1103/PhysRevB.55.5297
Abstract
We study the effect of electron-electron (e-e) interactions on compressibility, capacitance and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation. As expected, the ensemble-averaged compressibility and capacitance decreases as a function of the interaction strength, while the mean inverse compressibility increases. Fluctuations of the compressibility are found to be strongly suppressed by the e-e interactions. Fluctuations of the capacitance and inverse compressibility also turn out to be much smaller than their averages. The analytical calculations are compared with the results of a numerical calculation for the inverse compressibility of a disordered tight-binding model. Excellent agreement for weak interaction values is found. Implications for the interpretation of current experimental data are discussed.
REVTeX, 23 pages, 6 figures, accepted for publication in PRB
References in corpus (2)
Cited by in corpus (29)
- The Statistical Theory of Quantum Dots
- Statistics of Coulomb Blockade Peak Spacings
- Correlations between Ground and Excited State Spectra of a Quantum Dot
- Signatures of spin pairing in a quantum dot in the Coulomb blockade regime
- Statistics of the Coulomb blockade peak spacings of a silicon quantum dot
- Periodic and Aperiodic Bunching in the Addition Spectra of Quantum Dot
- Absence of bimodal peak spacing distribution in the Coulomb blockade regime
- Changing the Electronic Spectrum of a Quantum Dot by Adding Electrons
- Coulomb Blockade Fluctuations in Strongly Coupled Quantum Dots
- Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
- Statistics of Coulomb Blockade Peak Spacings within the Hartree-Fock Approximation
- The Addition Spectrum and Koopmans' Theorem for Disordered Quantum Dots
- Statistics of Hartree-Fock Levels in Small Disordered Systems
- Classical mechanics technique for quantum linear response
- Spin and e-e interactions in quantum dots: Leading order corrections to universality and temperature effects
- Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry
- Electron-Electron Interaction in Disordered Mesoscopic Systems: Weak Localization and Mesoscopic Fluctuations of Polarizability and Capacitance
- Density Modulations and Addition Spectra of Interacting Electrons in Disordered Quantum Dots
- Density functional theory of spin-polarized disordered quantum dots
- A level coupled to a 1D interacting reservoir : A DMRG study
- Coulomb blockade conductance peak fluctuations in quantum dots and the independent particle model
- Transmission through a n interacting quantum dot in the Coulomb blockade regime
- Plastic flow of persistent currents in two dimensional strongly interacting systems
- Band-Gap-Dependent Electronic Compressibility of Carbon Nanotubes in the Wigner Crystal Regime
- The addition spectrum of interacting electrons: Parametric dependence
- Level Fluctuations and Many-Body Effects in Disorder-Free Quantum Dots
- Topological current of point defects and its bifurcation
- Fluctuation of Conductance Peak Spacings in Large Semiconductor Quantum Dots
- Fluctuation of inverse compressibility for electronic systems with random capacitive matrices