Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots
arXiv:0707.1620 · doi:10.1103/PhysRevB.76.195448
Abstract
We obtain analytic formulae for the spacing between conductance peaks in the Coulomb blockade regime, based on the universal Hamiltonian model of quantum dots. New random matrix theory results are developed in order to treat correlations between two and three consecutive spacings in the energy level spectrum. These are generalizations of the Wigner surmise for the probability distribution of single level spacing. The analytic formulae are shown to be in good agreement with numerical evaluation.
arXiv comment15 pages, minor changes, published version
References in corpus (19)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Quantum Effects in Coulomb Blockade
- Statistics of Coulomb Blockade Peak Spacings
- Interactions and Interference in Quantum Dots: Kinks in Coulomb Blockade Peak Positions
- 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
- Mesoscopic fluctuations of the ground state spin of a small metal particle
- Changing the Electronic Spectrum of a Quantum Dot by Adding Electrons
- Fluctuating "order parameter" for a quantum chaotic system with partially broken time-reversal symmetry
- Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
- Singlet-Triplet Transition Tuned by Asymmetric Gate Voltages in a Quantum Ring
- Long-range correlations in the wave functions of chaotic systems
- 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 correlations in metal nanoparticles with spin-orbit scattering
- Enhanced mesoscopic fluctuations in the crossover between random matrix ensembles
- Spin and interaction effects in quantum dots: a Hartree-Fock-Koopmans approach
- Fluctuations of g-factors in metal nanoparticles: Effects of electron-electron interaction and spin-orbit scattering
- Random Matrix Crossovers and Quantum Critical Crossovers for Interacting Electrons in Quantum Dots