Thermal Rectification in Classical and Quantum Systems: Searching for Efficient Thermal Diodes

Abstract

This mini-review addresses a bedrock problem for the advance of phononics: the building of feasible and efficient thermal diodes. We revisit investigations in classical and quantum systems. For the classical anharmonic chains of oscillators, the most used model for the study of heat conduction in insulating solids, we recall the ubiquitous occurrence of thermal rectification in graded systems, and we show that the match between graded structures and long range interactions is an efficient mechanism to increase the rectification factor. For the cases of genuine quantum models, we present the spin chains, such as the open $XXZ$ model, as profitable systems for the occurrence of thermal rectification and other interesting related properties. In particular, we describe two cases of perfect diodes: one for the spin current, in a two-segmented $XXZ$ model, and another one for the heat current in a simple quantum Ising model with long range interactions. We believe that such results involving interesting rectification properties in simple models will stimulate more theoretical and experimental investigations on the subject.

7 pages

References in corpus (31)

• Thermal conduction in classical low-dimensional lattices
• Phononics: Manipulating heat flow with electronic analogs and beyond
• An Open-System Quantum Simulator with Trapped Ions
• Thermal diode: Rectification of heat flux
• Heat Transport in low-dimensional systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
• Thermal rectification and negative differential thermal resistance in lattices with mass gradient
• Heat transport in harmonic lattices
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• The thermodynamic cost of driving quantum systems by their boundaries
• Optimal rectification by strongly coupled spins
• Perfect diode in quantum spin chains
• Graded anharmonic crystals as genuine thermal diodes: Analytical description of rectification and negative differential thermal resistance
• Sufficient conditions for thermal rectification in graded materials
• Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
• Thermal Rectification in Graded Materials
• Increasing thermal rectification: Effects of long range interactions
• Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs
• Thermal rectification in quantum graded mass systems
• Non-equilibrium Statistical Mechanics of Anharmonic Crystals with Self-consistent Stochastic Reservoirs
• Heat transport in ordered harmonic lattices
• Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
• Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
• Heat current rectification in segmented XXZ chains
• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• Perfect Thermal Rectification in a Many-Body Quantum Ising Model
• Dimension dependence of negative differential thermal resistance in graphene nanoribbons
• Rectification and One-Way Street for the Energy Current in Boundary-Driven Asymmetric Quantum Spin Chains
• A perturbative approach for the crystal chains with self-consistent stochastic reservoirs
• Local rectification of heat flux

Cited by in corpus (8)

• Harmonic chains and the thermal diode effect
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Characterizing the performance of heat rectifiers
• Heat transport and rectification via quantum statistical and coherence asymmetries
• Heat rectification with a minimal model of two harmonic oscillators
• Asymmetric Heat Transport in Ion Crystals
• Heat rectification, heat fluxes, and spectral matching
• Quantum thermal rectification via state-dependent two-photon dissipation