Brownian thermal transistors and refrigerators in mesoscopic systems
arXiv:2006.10594 · doi:10.1103/PhysRevB.102.125405
Abstract
Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional devices. We derive the statistics of the thermal transistor amplification factor and the cooling-by-heating refrigerator efficiency under the Gaussian fluctuation framework. Statistical properties of the stochastic thermal transistor and the cooling-by-heating efficiency are revealed in the linear-response regime. We clarify the unique role of inelastic processes on thermal transport in mesoscopic systems. We further show that elastic and inelastic processes lead to different bounds based on the linear transport coefficients by establishing a generic theoretical framework for mesoscopic heat transport, which treats electron and bosonic collective excitations in an equal-footing manner. The underlying physics are illustrated concretely using a double-quantum-dot three-terminal system, though the theory applies to more general systems.
13 pages,7 figures
References in corpus (13)
- Optimal energy quanta to current conversion
- The unlikely Carnot efficiency
- Scattering theory of nonlinear thermoelectric transport
- Efficiency statistics at all times: Carnot limit at finite power
- Universal theory of efficiency fluctuations
- Chiral thermoelectrics with quantum Hall edge states
- Heat diode and engine based on quantum Hall edge states
- Efficiency fluctuations in quantum thermoelectric devices
- Brownian duet: A novel tale of thermodynamic efficiency
- Efficiency fluctuations in microscopic machines
- Thermodynamic bounds and general properties of optimal efficiency and power in linear responses
- Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems
- Nonlinear chiral refrigerators