Reaching Van den Broeck limit in linear response and Whitney limit in nonlinear response in edge mode quantum thermoelectrics and refrigeration
arXiv:2404.02118 · doi:10.1103/PhysRevB.110.235430
Abstract
Quantum heat engines and quantum refrigerators are proposed in three-terminal quantum Hall (QH) and quantum spin Hall (QSH) setups with a voltage-temperature probe in both the linear and nonlinear transport regimes. In the linear response regime, we find that efficiency at maximum power approaches the Van den Broeck limit in both QH and QSH setups. Similarly, in nonlinear response, we find that efficiency at maximum power reaches the Whitney bounds. This is for the first time, we see that in the same setup and using quantum point contacts, the thermoelectric efficiency limits in linear and nonlinear response being achieved.
35 pages (7 pages main and 28 pages supplementary material) with 21 figures and 5 tables, accepted for publication in Phys. Rev. B
References in corpus (46)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
- Nonlocal edge state transport in the quantum spin Hall state
- Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
- Quantum heat engines and refrigerators: Continuous devices
- Most efficient quantum thermoelectric at finite power output
- Universal trade-off relation between power and efficiency for heat engines
- Gauge invariant nonlinear electric transport in mesoscopic conductors
- Low frequency admittance of a quantum point contact
- Thermo-Electric Properties of Quantum Point Contacts
- Huge thermoelectric effects in ferromagnet-superconductor junctions in the presence of a spin-splitting field
- Micrometre-scale refrigerators
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- Magnetic-field asymmetry of nonlinear mesoscopic transport
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Scattering theory of nonlinear thermoelectric transport
- Edge Transport in the Trivial Phase of InAs/GaSb
- Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
- Chiral thermoelectrics with quantum Hall edge states
- Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
- Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law
- Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
- Universal constraint for efficiency and power of a low-dissipation heat engine
- Maximum Efficiency of Low-Dissipation Heat Engines at Arbitrary Power
- Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene
- Heat diode and engine based on quantum Hall edge states
- Scattering Theory of Nonlinear Thermoelectricity in Quantum Coherent Conductors
- Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
- Very large thermophase in ferromagnetic Josephson junctions
- Efficient and tunable Aharonov-Bohm quantum heat engine
- Nonlinear spin-thermoelectric transport in two-dimensional topological insulators
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Strained graphene based highly efficient quantum heat engine operating at maximum power
- Optimal thermoelectricity with quantum spin-Hall edge states
- Quantum coherent three-terminal thermoelectrics: maximum efficiency at given power output
- Helical thermoelectrics and refrigeration
- Nonlinear chiral refrigerators
- Designing a highly efficient graphene quantum spin heat engine
- Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations
- Optimal performance of voltage-probe quantum heat engines
- Finite temperature quantum noise correlations as a probe for topological helical edge modes
- Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law