Quantum theory for ac-admittance

Racec, Paul N.; Wulf, Ulrich

doi:10.1016/j.msec.2005.09.067

Cited by 1 publication

(4 citation statements)

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“…As demonstrated in Ref. [32] this step in Y 1 is in good agreement with a step in the experimental capacitance curve which is caused by the formation of a two-dimensional electron gas within the quantum capacitor. The coefficient Y 2 shows a general increase with increasing bias.…”

Section: B Numerical Results For Mis-type Nanostructuresupporting

confidence: 83%

“…This structure has been analyzed in experiments, 34 the stationary system has been described theoretically within Hartree approximation 40 and first calculations for the dynamic behavior are presented in Refs. [31,32]. We now calculate the quantum admittance Y (ω) according to Eq.…”

Section: B Numerical Results For Mis-type Nanostructurementioning

confidence: 99%

“…27-30 the appropriate response formalism for the interacting electron system is the random-phase approximation ͑RPA͒. In our previous papers 31, 32 we demonstrated the application of the complete RPA scheme to open stationary systems described in the Landauer-Büttiker formalism. A complete RPA scheme 33 requires as a central element the calculation of the irreducible polarization ⌸ 0 ͑r , rЈ , ͒ from the self-consistent scattering functions of the stationary system.…”

Section: Introductionmentioning

confidence: 99%

“…As a second necessary ingredient for the implementation of the complete RPA-scheme, it was shown in Refs. [31,32] how the dynamic total potential in the scattering area can be determined microscopically using the calculated irreducible polarization and the Greens function for the Poisson equation with Dirichlet boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Admittance of planar two-terminal quantum systems

Wulf

Racec

2007

Phys. Rev. B

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We develop an approach to calculate the admittance of effectively one-dimensional open quantum systems in random phase approximation. The stationary, unperturbed system is described within the Landauer-B\"uttiker formalism taking into account the Coulomb interaction in the Hartree approximation. The dynamic changes in the effective potential are calculated microscopically from the charge-charge correlation function resulting from the stationary scattering states. We provide explicit RPA-expressions for the quantum admittance. As a first example the case of a quantum capacitor is considered where we can derive a small-frequency expansion for the admittance which lends itself to an experimental testing of the theory. A comparison of the low-frequency expansion with the complete RPA-expression shows that for a quantum capacitor a simple classical equivalent circuit with frequency-independent elements does not describe satisfactorily the quantum-admittance with increasing the frequency.Comment: 13 pages, 4 figure

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Section: B Numerical Results For Mis-type Nanostructuresupporting

confidence: 83%