A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
arXiv:2410.01006 · doi:10.1088/1361-648X/adb921
Abstract
The study of heat-to-work conversion has gained significant attention in recent years, highlighting the potential of nanoscale systems to achieve energy conversion in steady-state devices without any macroscopic moving parts. This review examines the theoretical frameworks governing the steady-state flows of quantum particles like electrons, photons, and phonons within various mesoscopic or nanoscale devices, such as thermoelectric heat engines in the context of quantum dot Aharonov-Bohm (AB) interferometric configurations. Quantum interference effects hold great promise for enhancing the thermoelectric transport properties of such quantum devices by allowing more precise control over energy levels and transport pathways. Driven quantum dot AB networks can maintain quantum coherence and provide precise experimental control. Unlike bulk systems, nanoscale systems like quantum dots reveal distinct quantum interference phenomena, including sharp features in transmission spectra and Fano resonances. This review highlights the distinction between optimization methods that produce boxcar functions and coherent control methods that result in complex interference patterns. It reveals that the effective design of thermoelectric heat engines requires careful tailoring of quantum interference and the magnetic field-induced effects to enhance performance. We emphasize how magnetic fields can change the bounds of power or efficiency. These machines with broken time-reversal symmetry provide insights into directional dependencies and asymmetries in quantum transport. We offer a thorough overview of past and current research on quantum thermoelectric heat engines using the AB effect and present a detailed review of three-terminal AB heat engines, where broken time-reversal symmetry can induce a coherent diode effect. We cover bounds on power and efficiency in systems with broken time-reversal symmetry.
References in corpus (81)
- Fano resonances in nanoscale structures
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
- Efficiency at maximum power of low dissipation Carnot engines
- Reversible thermoelectric nanomaterials
- Reversible quantum Brownian heat engines for electrons
- A quantum-dot heat engine operating close to the thermodynamic efficiency limits
- Coherent coupling of two quantum dots embedded in an Aharonov-Bohm ring
- Most efficient quantum thermoelectric at finite power output
- Hyperbolic Lattices in Circuit Quantum Electrodynamics
- Kondo Correlations and the Fano Effect in Closed AB-Interferometers
- Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
- Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
- Flux-Dependent Level Attraction in Double-Dot Aharonov-Bohm Interferometers
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- Efficiency at maximum power of minimally nonlinear irreversible heat engines
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Phase coherent transmission through interacting mesoscopic systems
- Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
- Scattering theory of nonlinear thermoelectric transport
- Coherence and Partial Coherence in Interacting Electron Systems
- Phase Dependent Thermopower in Andreev Interferometers
- Thermoelectric efficiency of three-terminal quantum thermal machines
- On the applicability of the equations-of-motion technique for quantum dots
- Interference in interacting quantum dots with spin
- Three-terminal thermoelectric transport through a molecule placed on an Aharonov-Bohm ring
- Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
- Magnetic field symmetry and phase rigidity of the nonlinear conductance in a ring
- Correlations of heat and charge currents in quantum-dot thermoelectric engines
- Double quantum dots: interdot interactions, co-tunneling, and Kondo resonances without spin
- The Thermopower of Quantum Chaos
- Thermopower with broken time-reversal symmetry
- Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry
- Magnetic field asymmetry of nonlinear transport in carbon nanotubes
- Enhancement of thermoelectric efficiency and violation of the Wiedemann-Franz law due to Fano effect
- Phase coherence in the inelastic cotunneling regime
- Electron transport in a one dimensional conductor with inelastic scattering by self-consistent reservoirs
- Quantum Interference, Graphs, Walks, and Polynomials
- Thermoelectric effects of an Aharonov-Bohm interferometer with an embedded quantum dot in the Kondo regime
- Bound on Thermoelectric Power in a Magnetic Field within Linear Response
- Optimal quantum interference thermoelectric heat engine with edge states
- Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
- Probing Maxwell's Demon with a Nanoscale Thermometer
- Heat devices in nonlinear irreversible thermodynamics
- Heat driven transport in serial double quantum dot devices
- Experiments on thermoelectric properties of quantum dots
- Coherent Thermoelectric Effects in Mesoscopic Andreev Interferometers
- Efficient and tunable Aharonov-Bohm quantum heat engine
- The probe technique far-from-equilibrium: Magnetic field symmetries of nonlinear transport
- ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs
- Efficiency and power of a thermoelectric quantum dot device
- Dynamics of coherences in the interacting double-dot Aharonov-Bohm interferometer: Exact numerical simulations
- Nonequilibrium Critical Behavior for Electron Tunneling through Quantum Dots in an Aharonov-Bohm Circuit
- Temperature and Voltage Probes Far from Equilibrium
- On the validity and breakdown of the Onsager symmetry in mesoscopic conductors interacting with environments
- Inelastic effects in Aharonov-Bohm molecular interferometer
- Measuring the Kondo effect in the Aharonov-Bohm interferometer
- Interference through quantum dots
- Magnetic field switching in parallel quantum dots
- The Influence of Interference on the Kondo Effect in a Quantum Dot
- Quantum coherent control of nonlinear thermoelectric transport in a triple-dot Aharonov-Bohm heat engine
- Transmission phase lapses in quantum dots: the role of dot-lead coupling asymmetry
- Quantum control of nonlinear thermoelectricity at the nanoscale
- Hybrid normal-superconducting Aharonov-Bohm quantum thermal device
- Quantum interference in transport through almost symmetric double quantum dots
- Magnetic field symmetries of nonlinear transport with elastic and inelastic scattering
- Magnetic-field asymmetry of nonlinear thermoelectric and heat transport
- General relations between the power, efficiency and dissipation for the irreversible heat engines in the nonlinear response regime
- Magnetic field induced symmetry breaking in nonequilibrium quantum networks
- Coulomb blockade double-dot Aharonov-Bohm interferometer: giant fluctuations
- Current-voltage correlations in interferometers
- Wave-packet rectification in nonlinear electronic systems: A tunable Aharonov-Bohm diode
- Analytic treatment of the thermoelectric properties for two coupled quantum dots threaded by magnetic fields
- Decoherence Effects Break Reciprocity in Matter Transport
- Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
- Thermal junctions controlled with Aharonov-Bohm phases
- Non-local coupling of two donor-bound electrons
- Asymmetric power dissipation in electronic transport through a quantum point contact
- Optimal performance of voltage-probe quantum heat engines
- Phase-controlled heat modulation with Aharonov-Bohm interferometers
- Efficiency and power of minimally nonlinear irreversible heat engines with broken time-reversal symmetry