Nonlocal thermoelectricity in a Cooper-pair splitter

Abstract

We investigate the nonlocal thermoelectric transport in a Cooper-pair splitter based on a double-quantum-dot-superconductor three-terminal hybrid structure. We find that the nonlocal coupling between the superconductor and the quantum dots gives rise to nonlocal thermoelectric effects which originate from the nonlocal particle-hole breaking of the system. We show that Cooper-pair splitting induces the generation of a thermo-current in the superconducting lead without any transfer of charge between the two normal metal leads. Conversely, we show that a nonlocal heat exchange between the normal leads is mediated by non-local Andreev reflection. We discuss the influence of finite Coulomb interaction and study under which conditions nonlocal power generation becomes possible, and when the Cooper-pair splitter can be employed as a cooling device.

12 pages, 7 figures

References in corpus (35)

• Quantum Computing
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Thermoelectric energy harvesting with quantum dots
• Markovian master equations for quantum thermal machines: local vs global approach
• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Near-unity Cooper pair splitting efficiency
• Testing the validity of the local and global GKLS master equations on an exactly solvable model
• Performance bound for quantum absorption refrigerators
• Nonlocal Thermoelectric Effects and Nonlocal Onsager Relations in a Three-Terminal Proximity-Coupled Superconductor-Ferromagnet Device
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Superconducting proximity effect in interacting double-dot systems
• Thermoelectric efficiency of three-terminal quantum thermal machines
• A benzene interference single-electron transistor
• Heat-exchange statistics in driven open quantum systems
• Superconducting proximity effect in interacting quantum dots revealed by shot noise
• Unconventional Superconductivity in Double Quantum Dots
• Refrigeration beyond weak internal coupling
• Separation of heat and charge currents for boosted thermoelectric conversion
• Cooling by Cooper pair splitting
• Thermopower induced by a supercurrent in superconductor-normal-metal structures
• Very large thermophase in ferromagnetic Josephson junctions
• InAs nanowire hot-electron Josephson transistor
• Electron Waiting Times of a Cooper Pair Splitter
• Spin-dependent thermoelectric effects in a strongly correlated double quantum dot
• Cross thermoelectric coupling in normal-superconductor quantum dots
• Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
• Pumping through a quantum dot in the proximity of a superconductor
• Coherent charge transport through molecular wires: influence of strong Coulomb repulsion
• Double quantum dot Cooper-pair splitter at finite couplings
• Quantum transport, master equations, and exchange fluctuations
• Odd-triplet superconductivity in single-level quantum dots
• Splitting efficiency and interference effects in a Cooper pair splitter based on a triple quantum dot with ferromagnetic contacts
• Entanglement-symmetry control in a quantum-dot Cooper-pair splitter

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