Quantum interference effect of resonant transport in nano-scale systems

Sasada, Keita; Hatano, Naomichi

doi:10.1016/j.physe.2005.06.038

Cited by 21 publications

(27 citation statements)

References 7 publications

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“…The effective potential was first introduced in nuclear physics half a century ago [24,25,26,27]. It is used in physics of mesoscopic systems from time to time in recent years [28,29,30,31,32,33,34,35].…”

Section: A Effective Potentialmentioning

confidence: 99%

“…In the second part of the present paper, from Section V to Section VI, we introduce new numerical methods of treating the resonant state with the use of the effective potential [24,25,26,27,28,29,30,31,32,33,34,35]. A logical consequence of the arguments in Sections II and III is that the eigenfunction of the resonant state is diverging away from the scattering potential.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Some Properties of the Resonant State in Quantum Mechanics and Its Computation

Hatano¹,

Sasada²,

Nakamura³

et al. 2008

Progress of Theoretical Physics

160

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The resonant state of the open quantum system is studied from the viewpoint of the outgoing momentum flux. We show that the number of particles is conserved for a resonant state, if we use an expanding volume of integration in order to take account of the outgoing momentum flux; the number of particles would decay exponentially in a fixed volume of integration. Moreover, we introduce new numerical methods of treating the resonant state with the use of the effective potential. We first give a numerical method of finding a resonance pole in the complex energy plane. The method seeks an energy eigenvalue iteratively. We found that our method leads to a super-convergence, the convergence exponential with respect to the iteration step. The present method is completely independent of commonly used complex scaling. We also give a numerical trick for computing the time evolution of the resonant state in a limited spatial area. Since the wave function of the resonant state is diverging away from the scattering potential, it has been previously difficult to follow its time evolution numerically in a finite area.

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Section: A Effective Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Some Properties of the Resonant State in Quantum Mechanics and Its Computation

Hatano¹,

Sasada²,

Nakamura³

et al. 2008

Progress of Theoretical Physics

160

View full text Add to dashboard Cite

show abstract

“…We can obviously extend the following arguments to more general models such as the one in Fig. 1(b) [43][44][45].…”

Section: Modelmentioning

confidence: 82%

Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states

Hatano

2012

Fortschritte der Physik

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“…This is known as the Fano resonance. 30,76 This is due to the interference between the localized state from the weakly coupled side-adsorbate (see the sharp local DOS peak originating from side-attached adsorbate near the E ¼ 0.0t of Fig. 2(c)) and the tunneling state.…”

Section: Resultsmentioning

confidence: 99%

“…1(c) has been often used for the model of AB-rings in quantum dots in the field of mesoscopic physics. 6,30,82 Due to the dephasing or an external field such as a magnetic field, the phase of the waves propagating though the different pathways in the cyclic molecule could be shifted. This could cause QI.…”

Section: Resultsmentioning

confidence: 99%

Quantum interference in thermoelectric molecular junctions: A toy model perspective

Nozaki¹,

Avdoshenko²,

Sevinçli³

et al. 2014

Journal of Applied Physics

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Quantum interference (QI) phenomena between electronic states in molecular circuits offer a new opportunity to design new types of molecular devices such as molecular sensors, interferometers, and thermoelectric devices. Controlling the QI effect is a key challenge for such applications. For the development of single molecular devices employing QI effects, a systematic study of the relationship between electronic structure and the quantum interference is needed. In order to uncover the essential topological requirements for the appearance of QI effects and the relationship between the QI-affected line shape of the transmission spectra and the electronic structures, we consider a homogeneous toy model where all on-site energies are identical and model four types of molecular junctions due to their topological connectivities. We systematically analyze their transmission spectra, density of states, and thermoelectric properties. Even without the degree of freedom for on-site energies an asymmetric Fano peak could be realized in the homogeneous systems with the cyclic configuration. We also calculate the thermoelectric properties of the model systems with and without fluctuation of on-site energies. Even under the fluctuation of the on-site energies, the finite thermoelectrics are preserved for the Fano resonance, thus cyclic configuration is promising for thermoelectric applications. This result also suggests the possibility to detect the cyclic configuration in the homogeneous systems and the presence of the QI features from thermoelectric measurements. V C 2014 AIP Publishing LLC. [http://dx

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Quantum interference effect of resonant transport in nano-scale systems

Cited by 21 publications

References 7 publications

Some Properties of the Resonant State in Quantum Mechanics and Its Computation

Some Properties of the Resonant State in Quantum Mechanics and Its Computation

Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states

Quantum interference in thermoelectric molecular junctions: A toy model perspective

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