Quantum transport in a one-dimensional quantum dot array

A noninteracting quantum-dot array side coupled to a quantum wire is studied. Transport through the quantum wire is investigated by using a noninteracting Anderson tunneling Hamiltonian. The conductance at zero temperature develops an oscillating band with resonances and antiresonances due to constructive and destructive interference in the ballistic channel, respectively. Moreover, we have found an odd-even parity in the system, whose conductance vanishes for an odd number of quantum dots while it becomes 2e 2 /h for an even number. We established an explicit relation between this odd-even parity and the positions of the resonances and antiresonances of the conductivity with the spectrum of the isolated quantum-dot array.

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“…1. The system is modeled by using a noninteracting Anderson tunneling Hamiltonian, 5 which can be written as …”

Section: Modelmentioning

confidence: 99%

“…[3][4][5] The latest advances in nanotechnology make it possible to fabricate QD arrays. In linear QD arrays leads are attached to their ends and the current through them is measured while external parameters such a gated voltage, magnetic field, and temperature are varied.…”

Section: Introductionmentioning

confidence: 99%

Transport through a quantum wire with a side quantum-dot array

et al. 2003

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“…First, the prescriptions for the calculation of the correlation Green functions such as less-than one are different. After repeating the use of the Keldysh formula in the noninteraction case with the help of the properties G r G a = (G r − G a )/(2iImG a ), we obtain finally the transmission formula (23), which is different formally from the result of Shangguan et al [23], Eq. (27) in their paper, without using the mentioned property.…”

Section: Introductionmentioning

confidence: 85%

“…The effect is just shifting the site level and splitting the resonance position at absolute zero temperature, since elastic scattering can only be expected at zero temperature. [30] The central formula (23) remains formally the same in the presence of interactions as long as the ground-state of the system possess Fermi liquid properties. [31] IV.…”

Section: N Sitesmentioning

confidence: 99%

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Coherent transmission through a one-dimensional lattice

et al. 2004

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Based on the Keldysh nonequilibrium Green function (NGF) technique, a general formula for the current and transmission coefficient through a one dimensional lattice is derived without the consideration of electron-electron interactions. We obtain an analytical condition for perfect resonant transmission when the levels of sites are aligned, which depends on the parity of the number of sites. Localization-delocalization transition in a generic one dimensional disordered lattice is also analyzed, depending on the correlation among the hopping parameters and the strength of the coupling to reservoirs. The dependence of the number and lineshape of resonant transmission and linear conductance peaks on the structure parameters of the lattice is also given in several site cases.

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