Topology‐Controlled Thermopower Oscillations in Multiterminal Andreev Interferometers

Dolgirev, Pavel E.; Kalenkov, Mikhail S.; Zaikin, Andrei D.

doi:10.1002/pssr.201800252

Cited by 14 publications

(10 citation statements)

References 38 publications

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“…Finally, we note that electron-hole symmetry violation is believed to also be responsible for large thermoelectric effects in Andreev interferometers 31,36 . Our work, therefore, establishes an intimate relation between the current I N and thermoelectricity in hybrid superconducting nanostructures 37 .…”

Section: Discussionmentioning

confidence: 82%

Phase-coherent electron transport in asymmetric crosslike Andreev interferometers

Dolgirev¹,

Kalenkov²,

Tarkhov³

et al. 2019

Phys. Rev. B

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We present a detailed theoretical description of quantum coherent electron transport in voltagebiased cross-like Andreev interferometers. Making use of the charge conjugation symmetry encoded in the quasiclassical formalism, we elucidate a crucial role played by geometric and electron-hole asymmetries in these structures. We argue that a non-vanishing Aharonov-Bohm-like contribution to the current IS flowing in the superconducting contour may develop only in geometrically asymmetric interferometers making their behavior qualitatively different from that of symmetric devices. The current IN in the normal contour -along with IS -is found to be sensitive to phase-coherent effects thereby also acquiring a 2π-periodic dependence on the Josephson phase. In asymmetric structures this current develops an odd-in-phase contribution originating from electron-hole asymmetry. We demonstrate that both phase dependent currents IS and IN can be controlled and manipulated by tuning the applied voltage, temperature and system topology, thus rendering Andreev interferometers particularly important for future applications in modern electronics. arXiv:1906.07305v1 [cond-mat.supr-con]

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Section: Discussionmentioning

confidence: 82%

Phase-coherent electron transport in asymmetric crosslike Andreev interferometers

Dolgirev¹,

Kalenkov²,

Tarkhov³

et al. 2019

Phys. Rev. B

Self Cite

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“…Pavel Dolgirev et al theoretically demonstrated that in six‐terminal Andreev interferometers the thermopower, as a function of the magnetic flux, is driven by contributions originating from the Josephson‐ and Aharonov–Bohm‐like effects, as well as from electron–hole asymmetry. Their work particularly emphasizes the role of the system's topology that may have a dramatic impact on the behavior of the thermopower.…”

Section: Theorymentioning

confidence: 99%

Topology and Geometry Controlled Properties of Nanoarchitectures

Fomin

2019

Physica Rapid Research Ltrs

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“…Nanowire technology provides a rich platform to discover novel physical properties related to curvature effects such as flexible electronics [1], battery [2] and nanoelectromechanical sensors and generators [3][4][5][6][7]. A selection of recent nanoarchitecture work [8] includes the influence of a varying thickness of 2D WS 2 nanolayers [9], the role of topology of the thermopower of six-terminal Andreev interferometers [10], the voltage induced by moving vortices as a function of transport and magnetic fields for rolled-up nanostructured nanotubes [11], topological transitions in superconducting structures [12,13], etc. Recently, the present authors [14] derived the first four-band spinless k • p model in curved coordinates using Kane's model.…”

Section: Introductionmentioning

confidence: 99%

Quantum Eigenstates of Curved and Varying Cross-Sectional Waveguides

Gravesen

Willatzen

2020

Applied Sciences

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A simple one-dimensional differential equation in the centerline coordinate of an arbitrarily curved quantum waveguide with a varying cross section is derived using a combination of differential geometry and perturbation theory. The model can tackle curved quantum waveguides with a cross-sectional shape and dimensions that vary along the axis. The present analysis generalizes previous models that are restricted to either straight waveguides with a varying cross-section or curved waveguides, where the shape and dimensions of the cross section are fixed. We carry out full 2D wave simulations on a number of complex waveguide geometries and demonstrate excellent agreement with the eigenstates and energies obtained using our present 1D model. It is shown that the computational benefit in using the present 1D model to calculate both 2D and 3D wave solutions is significant and allows for the fast optimization of complex quantum waveguide design. The derived 1D model renders direct access as to how quantum waveguide eigenstates depend on varying cross-sectional dimensions, the waveguide curvature, and rotation of the cross-sectional frame. In particular, a gauge transformation reveals that the individual effects of curvature, thickness variation, and frame rotation correspond to separate terms in a geometric potential only. Generalization of the present formalism to electromagnetics and acoustics, accounting appropriately for the relevant boundary conditions, is anticipated.

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Topology‐Controlled Thermopower Oscillations in Multiterminal Andreev Interferometers

Cited by 14 publications

References 38 publications

Phase-coherent electron transport in asymmetric crosslike Andreev interferometers

Phase-coherent electron transport in asymmetric crosslike Andreev interferometers

Topology and Geometry Controlled Properties of Nanoarchitectures

Quantum Eigenstates of Curved and Varying Cross-Sectional Waveguides

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