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Electronic transport in chaotic mesoscopic cavities: A Kwant and random matrix theory based exploration
Chandramouli R.S., Srivastav R.K.,
Published in American Institute of Physics Inc.
2020
PMID: 33380063
Volume: 30
   
Issue: 12
Abstract
We investigate the spectral fluctuations and electronic transport properties of chaotic mesoscopic cavities using Kwant, an open source Python programming language based package. Discretized chaotic billiard systems are used to model these mesoscopic cavities. For the spectral fluctuations, we study the ratio of consecutive eigenvalue spacings, and for the transport properties, we focus on Landauer conductance and shot noise power. We generate an ensemble of scattering matrices in Kwant, with desired number of open channels in the leads attached to the cavity. The results obtained from Kwant simulations, performed without or with magnetic field, are compared with the corresponding random matrix theory predictions for orthogonally and unitarily invariant ensembles. These two cases apply to the scenarios of preserved and broken time-reversal symmetry, respectively. In addition, we explore the orthogonal to unitary crossover statistics by varying the magnetic field and examine its relationship with the random matrix transition parameter. © 2020 Author(s).
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Figures & Tables (9)
  • Figure-0
    FIG. 1. Plots (a) and (b) both show the dispersion relations ... Expand
  • Figure-1
    FIG. 3. Eigenvalue statistics for B = 0: (a) density of states, ... Expand
  • Figure-2
    FIG. 2. Closed systems used for examining spectral density ... Expand
  • Figure-3
    FIG. 4. Eigenvalue statistics for B = 1× 10−2: (a) density ... Expand
  • Figure-4
    FIG. 5. CDFs of the ratio of consecutive spacings using ... Expand
  • Figure-5
    FIG. 6. Open systems used for studying quantum transport ... Expand
  • Figure-6
    FIG. 7. Plots of conductance distribution for B = 0 and various ... Expand
  • Figure-7
    FIG. 10. Plots of shot noise power distribution for B = 1× 10−3 ... Expand
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Published in American Institute of Physics Inc.
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