2001/01/31 by Y. Alhassid, Alhassid, Y., Yuval Gefen +1
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Strongly Correlated Electrons (cond-mat.str-el) #Surface and Thin Film Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0101461
13 pages, RevTex, significantly revised and includes new results
openalex publication_date 2001/01/31 · arxiv created 2001/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the fluctuations of an energy level as a function of the number of electrons m added to a Coulomb-blockade quantum dot. A microscopic calculation in the limit of Koopmans' theorem predicts that the standard deviation of these fluctuations behaves as √(m) in the absence of surface charge but is linear in m when the effect of a surface charge in a finite geometry is included. The microscopic results are compared to a parametric random-matrix approach. We estimate the number of electrons it takes to scramble the spectrum completely in terms of the interaction strength, the dimensionless Thouless conductance, and the symmetry class.