Scattering matrix approach to the description of quantum electron transport

Lesovik, G. B.; Sadovskyy, Ivan

doi:10.3367/ufne.0181.201110b.1041

Cited by 100 publications

(93 citation statements)

References 242 publications

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“…31,33 In this statistical ensemble, the quadratic combinations of the creationannihilation operators have the statistical averages c † q c q = f jq δ(q − q ),…”

Section: Appendix B: Diagonalization Of the Reservoir Hamiltoniansmentioning

confidence: 99%

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

et al. 2013

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A theoretical study is reported of electron transport at finite temperature in a double quantum dot (DQD) capacitively coupled to a quantum point contact (QPC) for the measurement of the DQD charge state. Starting from a Hamiltonian model, a master equation is obtained for the stochastic process taking place in the DQD while the QPC is at or away from equilibrium, allowing us to study the measurement back-action of the QPC onto the DQD. The QPC is treated nonperturbatively in our analysis. Effective fluctuation theorems are established for the full counting statistics of the DQD current under different limiting conditions. These fluctuation theorems hold with respect to an effective affinity characterizing the nonequilibrium environment of the DQD and differing from the applied voltage if the QPC is out of equilibrium. The effective affinity may even change its sign if the Coulomb drag of the QPC reverses the DQD current. The thermodynamic implications of the effective fluctuation theorems are discussed.

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“…31,33 In this statistical ensemble, the quadratic combinations of the creationannihilation operators have the statistical averages c † q c q = f jq δ(q − q ),…”

Section: Appendix B: Diagonalization Of the Reservoir Hamiltoniansmentioning

confidence: 99%

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

et al. 2013

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“…(1) are derived neglecting the Coulomb blockade in the quantum dots. The ribbons have large and gate-sensitive resistances going beyond Dorokhov distribution [23,24], and they even host additional small Coulomb blockaded dots near the Dirac point. The theory of Ref.…”

Section: Fig 2 (Color Onlinementioning

confidence: 99%

Cooper Pair Splitting by Means of Graphene Quantum Dots

et al. 2015

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Split Cooper pair is a natural source for entangled electrons which is a basic ingredient for quantum information in solid state. We report an experiment on a superconductor-graphene double quantum dot (QD) system, in which we observe Cooper pair splitting (CPS) up to a CPS efficiency of ∼ 10%. With bias on both QDs, we are able to detect a positive conductance correlation across the two distinctly decoupled QDs. Furthermore, with bias only on one QD, CPS and elastic co-tunneling can be distinguished by tuning the energy levels of the QDs to be asymmetric or symmetric with respect to the Fermi level in the superconductor.

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“…Using spin-wave formalism (i.e., Holstein-Primakoff transformation 11,12 ) and the Landauer-Büttiker approach 62,80,102,103 , it has been found in Ref. [26] that a spin anisotropy combined with an offset magnetic field is the crucial ingredient to achieve a nonzero rectification effect of spin currents in FMs.…”

Section: Rectification Effects and Magnon Transistormentioning

confidence: 99%

Spin currents and magnon dynamics in insulating magnets

Nakata¹,

Simon²,

Loss³

2017

J. Phys. D: Appl. Phys.

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Nambu-Goldstone theorem provides gapless modes to both relativistic and nonrelativistic systems. The Nambu-Goldstone bosons in insulating magnets are called magnons or spin-waves and play a key role in magnetization transport. We review here our past works on magnetization transport in insulating magnets and also add new insights, with a particular focus on magnon transport. We summarize in detail the magnon counterparts of electron transport, such as the Wiedemann-Franz law, the Onsager reciprocal relation between the Seebeck and Peltier coefficients, the Hall effects, the superconducting state, the Josephson effects, and the persistent quantized current in a ring to list a few. Focusing on the electromagnetism of moving magnons, i.e., magnetic dipoles, we theoretically propose a way to directly measure magnon currents. As a consequence of the Mermin-WagnerHohenberg theorem, spin transport is drastically altered in one-dimensional antiferromagnetic (AF) spin-1/2 chains; where the Néel order is destroyed by quantum fluctuations and a quasiparticle magnon-like picture breaks down. Instead, the low-energy collective excitations of the AF spin chain are described by a Tomonaga-Luttinger liquid (TLL) which provides the spin transport properties in such antiferromagnets some universal features at low enough temperature. Finally, we enumerate open issues and provide a platform to discuss the future directions of magnonics.PACS numbers: Review article for special issue on magnonics from J. Phys. D.

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Scattering matrix approach to the description of quantum electron transport

Cited by 100 publications

References 242 publications

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Cooper Pair Splitting by Means of Graphene Quantum Dots

Spin currents and magnon dynamics in insulating magnets

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