Edge-state blockade of transport in quantum dot arrays

Benito, Mónica; Niklas, Michael; Platero, Gloria; Kohler, Sigmund

doi:10.1103/physrevb.93.115432

Cited by 16 publications

(28 citation statements)

References 27 publications

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“…In the limit in which the applied voltage is much larger than the tunnel matrix elements t n , but still considerably smaller than the Coulomb repulsion of the electrons on the array [8], a standard Bloch-Redfield approach to second order in the chainlead tunneling provides the Lindblad master equation…”

Section: Counting Statisticsmentioning

confidence: 99%

“…A natural way to solve equations (8) and (15) is the numerical integration of the first equation followed by the computation of I(t) and the numerical integration of the second equation. While being very flexible, such numerical propagation schemes often lack efficiency.…”

Section: Matrix-continued Fractionsmentioning

confidence: 99%

“…Further blockade mechanisms come about when in addition spin effects [4] or phononic excitations [5][6][7] play a role. Moreover, in a dimer chain, the interplay of Coulomb interaction and the topology may cause edge-state blockade [8]. It is particularly visible in the shot noise properties of the transport process.…”

Section: Introductionmentioning

confidence: 99%

“…Proceeding as in [8], we consider the generalized reduced density operator c R which for the present case of uni-directional transport obeys the equation of motion [27] …”

Section: Counting Statisticsmentioning

confidence: 99%

“…In the limit considered, equation (8) has to be , connected to the electron source (left) and drain (right) with rate G L,R . The applied external AC field generates an oscillation of the onsite energies with frequency ω which depends on the positions of the quantum dots, x n , therefore the inter and intra dimer distances a and b, respectively, become relevant.…”

Section: Counting Statisticsmentioning

confidence: 99%

See 4 more Smart Citations

Transport, shot noise, and topology in AC-driven dimer arrays

Niklas¹,

Benito²,

Kohler³

et al. 2016

Nanotechnology

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We analyze an AC-driven dimer chain connected to a strongly biased electron source and drain. It turns out that the resulting transport exhibits fingerprints of topology. They are particularly visible in the driving-induced current suppression and the Fano factor. Thus, shot noise measurements provide a topological phase diagram as a function of the driving parameters. The observed phenomena can be explained physically by a mapping to an effective time-independent Hamiltonian and the emergence of edge states. Moreover, by considering quantum dissipation, we determine the requirements for the coherence properties in a possible experimental realization. For the computation of the zero-frequency noise, we develop an efficient method based on matrix-continued fractions.

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Section: Counting Statisticsmentioning

confidence: 99%

Section: Matrix-continued Fractionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Proceeding as in [8], we consider the generalized reduced density operator c R which for the present case of uni-directional transport obeys the equation of motion [27] …”

Section: Counting Statisticsmentioning

confidence: 99%

Section: Counting Statisticsmentioning

confidence: 99%

See 3 more Smart Citations

Transport, shot noise, and topology in AC-driven dimer arrays

Niklas¹,

Benito²,

Kohler³

et al. 2016

Nanotechnology

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Exotic odd–even parity effects in transmission phase, (Andreev) conductance, and shot noise of a dimer atomic chain by topology

Dong

Lei

2018

Annals of Physics

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We investigate the transport properties through a finite dimer chain connected to two normal leads or one normal and one superconductor (SC) leads. The dimer chain is described by the Su-Schrieffer-Hegger model and can be tuned into a topologically nontrivial phase with a pair of zero-energy edge states (ZEESs). We find that if the dimer chain is of nontrivial topology, (1) it will show apparent but opposite odd-even parity of the number of sites, in comparison with the topologically trivial and plain chains, in the (Andreev) transmission probability at the Fermi energy (i.e. the conductance and the Andreev conductance), the noise Fano factor in the zero bias limit, and even the transmission phase due to the coupled ZEESs; (2) the ZEES can determine appearance of the Andreev bound states at the site connected to the SC lead, and thereby induces a nonzerobias-anomaly in the Andreev differential conductance of the hybrid junction; (3) the transmission phase of the normal junction has a unique 2π continuous phase variation at the zero-energy resonant peak that is also different from the usual phase shift in resonant point in usual systems.

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Non-local electron transport through normal and topological ladder-like atomic systems

Kurzyna

Kwapiński

2018

Journal of Applied Physics

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We propose a locally protected ladder-like atomic system (nanoconductor) on a substrate that is insensitive to external perturbations. The system corresponds to coupled atomic chains fabricated on different surfaces. Electron transport properties of such conductors are studied theoretically using the model tight-binding Su-Schriffer-Hegger (SSH) Hamiltonian and Green's function formalism. We have found that the conductance of the system is almost insensitive to single adatoms and oscillates as a function of the side chain length with very large periods. Non-local character of the electron transport was observed also for topological SSH chains where nontrivial end states survive in the presence of disturbances as well as for different substrates. We have found that the careful inspection of the density of states or charge waves can provide the information about the atom energy levels and hopping amplitudes. Moreover, the ladder-like geometry allows one to distinguish between normal and topological zero-energy states. It is important that topological chains do not reveal Friedel oscillations which are observed in non-topological chains.

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Edge-state blockade of transport in quantum dot arrays

Cited by 16 publications

References 27 publications

Transport, shot noise, and topology in AC-driven dimer arrays

Transport, shot noise, and topology in AC-driven dimer arrays

Exotic odd–even parity effects in transmission phase, (Andreev) conductance, and shot noise of a dimer atomic chain by topology

Non-local electron transport through normal and topological ladder-like atomic systems

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