Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry

Abstract

We investigate thermoelectric efficiency of systems with broken time reversal symmetry under a three-terminal transport. Using a model of Aharonov-Bohm interferometer formed with three noninteracting quantum dots, we show that Carnot efficiency can be achieved when the thermopower is a symmetric function of the applied magnetic field. On the other hand, the maximal value of the efficiency at maximum power is obtained for asymmetric thermopower. Indeed, we show that Curzon-Ahlborn limit is exceeded within the linear response regime in our model. Moreover, we investigate thermoelectric efficiency for random Hamiltonians drawn from the Gaussian Unitary Ensemble and for a more abstract transmission model. In this latter model we find that the efficiency is improved using sharp energy-dependent transmission functions.

10 pages, 8 figures

References in corpus (18)

• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Efficiency at maximum power of low dissipation Carnot engines
• Universality of efficiency at maximum power
• Optimal energy quanta to current conversion
• Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
• The Josephson heat interferometer
• Thermoelectric efficiency at maximum power in low-dimensional systems
• Three-terminal thermoelectric transport through a molecular junction
• Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
• Efficiency of autonomous soft nano-machines at maximum power
• Rectification of thermal fluctuations in a chaotic cavity heat engine
• Thermoelectric three-terminal hopping transport through one-dimensional nanosystems
• Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
• Three-terminal thermoelectric transport through a molecule placed on an Aharonov-Bohm ring
• Thermopower with broken time-reversal symmetry
• Efficiency at maximum power of thermally coupled heat engines
• Irreversibilities and efficiency at maximum power of heat engines: illustrative case of a thermoelectric generator
• Railway switch transport model

Cited by in corpus (52)

• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Thermoelectric energy harvesting with quantum dots
• Universal trade-off relation between power and efficiency for heat engines
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Periodic Thermodynamics of Open Quantum Systems
• Thermoelectric efficiency of three-terminal quantum thermal machines
• Power-efficiency-dissipation relations in linear thermodynamics
• Onsager coefficients in periodically driven systems
• Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
• Thermoelectric properties of an interacting quantum dot-based heat engine
• Maximum efficiency of steady-state heat engines at arbitrary power
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
• Bound on Thermoelectric Power in a Magnetic Field within Linear Response
• Separation of heat and charge currents for boosted thermoelectric conversion
• Efficiency bounds on thermoelectric transport in magnetic fields: The role of inelastic processes
• Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
• Thermodynamic bounds and general properties of optimal efficiency and power in linear responses
• Efficiency versus Speed in Quantum Heat Engines: Rigorous Constraint from Lieb-Robinson Bound
• From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator
• The probe technique far-from-equilibrium: Magnetic field symmetries of nonlinear transport
• Experimental verification of reciprocity relations in quantum thermoelectric transport
• A Classical Nernst Engine
• Temperature and voltage measurement in quantum systems far from equilibrium
• A magnetic thermal switch for heat management at the nanoscale
• Inelastic effects in molecular transport junctions: The probe technique at high bias
• From thermal rectifiers to thermoelectric devices
• Fundamental relation between entropy production and heat current
• Thermoelectric efficiency in momentum-conserving systems
• Quantum coherent three-terminal thermoelectrics: maximum efficiency at given power output
• Power-efficiency-fluctuations trade-off in steady-state heat engines: The role of interactions
• Optimal efficiency and power and their trade-off in three-terminal quantum thermoelectric engines with two output electric currents
• Nanowire-based thermoelectric ratchet in the hopping regime
• Nonlinear effects for three-terminal heat engine and refrigerator
• General relations between the power, efficiency and dissipation for the irreversible heat engines in the nonlinear response regime
• Magnetic-field asymmetry of nonlinear thermoelectric and heat transport
• Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry
• Two constructive proofs on d-majorization and thermo-majorization
• Achieving Carnot efficiency in a finite-power Brownian Carnot cycle with arbitrary temperature difference
• A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
• Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime
• Thermoelectric effects in quantum Hall systems beyond linear response
• Three-terminal interface as a thermoelectric generator beyond Seebeck effect
• Enhancing Thermoelectric Properties Through a Three-Terminal Benzene Molecule
• Coupled autonomous thermal machines and efficiency at maximum power
• Maximum Power of Coupled-Qubit Otto Engines
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Optimal performance of voltage-probe quantum heat engines
• Thermoelectric efficiency in multiterminal quantum thermal machines from steady-state density functional theory
• Translationally invariant conservation laws of local Lindblad equations
• Statistical analysis of the figure of merit of a two-level thermoelectric system: a random matrix approach