Heat flow in nonlinear molecular junctions
arXiv:cond-mat/0512569 · doi:10.1103/PhysRevB.73.205415
Abstract
We investigate the heat conduction properties of molecular junctions comprising anharmonic interactions. We find that nonlinear interactions can lead to novel phenomena: it negative differential thermal conductance and heat rectification. Based on analytically solvable models we derive an expression for the heat current that clearly reflects the interplay between anharmonic interactions, strengths of coupling to the thermal reservoirs, and junction asymmetry. This expression indicates that negative differential thermal conductance shows up when the molecule is strongly coupled to the thermal baths, even in the absence of internal molecular nonlinearities. In contrast, diode like behavior is expected for a highly anharmonic molecule with an inherent structural asymmetry. Anharmonic interactions are also necessary for manifesting Fourier type transport. We briefly present an extension of our model system that can lead to this behavior.
References in corpus (24)
- Thermal conduction in classical low-dimensional lattices
- Thermal diode: Rectification of heat flux
- Quantized thermal conductance of dielectric quantum wires
- Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
- Negative differential thermal resistance and thermal transistor
- A spin-boson thermal rectifier
- Thermal conductance through molecular wires
- Ballistic Phonon Thermal Transport in Multi-Walled Carbon Nanotubes
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- Molecular heat pump
- Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
- Fourier's Law from Schroedinger Dynamics
- Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
- Heating in current carrying molecular junctions
- Tuning Negative Differential Resistance in a Molecular Film
- Fourier's Law confirmed for a class of small quantum systems
- Studies of thermal conductivity in Fermi-Pasta-Ulam like lattices
- Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
- Normal Heat Conduction in a Chain with Weak Interparticle Anharmonic Potential
- Limited validity of the Kubo formula for thermal conduction in modular quantum systems
- From Pure Schroedingerian to Statistical Dynamics
- Rectification in one--dimensional electronic systems
- Global and local relaxation of a spin-chain under exact Schroedinger and master-equation dynamics
- Asymmetric Heat Flow in Mesoscopic Magnetic System
Cited by in corpus (92)
- Quantum thermal transport in nanostructures
- Nonequilibrium Green's function method for quantum thermal transport
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- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Thermoelectric and thermal rectification properties of quantum dot junctions
- Non-linear thermoelectrics of molecular junctions with vibrational coupling
- Vibrational Heat Transport in Molecular Junctions
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- Strongly coupled quantum heat machines
- Charge transport through single molecules, quantum dots, and quantum wires
- Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
- Nonlinear thermal transport and negative differential thermal conductance in graphene nanoribbons
- Non-equilibrium spin-boson model: counting statistics and the heat exchange fluctuation theorem
- Stochastic pumping of heat: Approaching the Carnot efficiency
- Energy backflow and non-Markovian dynamics
- Nonlinear phenomena in quantum thermoelectrics and heat
- Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification
- Heat Diode Effect and Negative Differential Thermal Conductance across Nanoscale Metal-Dielectric Interfaces
- Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
- Heat flux operator, current conservation and the formal Fourier's law
- Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Designing nonlinear thermal devices and metamaterials under the Fourier's law: A route to nonlinear thermotics
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Thermal conductance in a spin-boson model: Cotunneling and low temperature properties
- Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics
- Steady state thermal transport in anharmonic systems: Application to molecular junctions
- Negative differential thermal resistance induced by ballistic transport
- Quantum dynamics of incoherently driven V-type system: Analytic solutions beyond the secular approximation
- Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
- Negative differential thermal conductance and heat amplification in a nonequilibrium triangle-coupled spin-boson system at strong coupling
- Qubit absorption refrigerator at strong coupling
- Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
- Molecular wires acting as quantum heat ratchets
- Thermoelectric study of dissipative quantum dot heat engines
- Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
- Nonequilibrium spin-boson model: from weak to strong coupling
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Non-adiabatic effect on the quantum heat flux control
- Phononic heat transport in molecular junctions: quantum effects and vibrational mismatch
- Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
- Electronic Heat Transport Across a Molecular Wire: Power Spectrum of Heat Fluctuations
- Qubit-mediated energy transfer between thermal reservoirs: beyond Markovian Master equation
- Thermal rectification and negative differential thermal conductance in harmonic chains with nonlinear system-bath coupling
- Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems
- Quantum heat transfer: A Born Oppenheimer method
- Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
- Heat asymmetries in nanoscale conductors: The role of decoherence and inelasticity
- A Landau-Zener Lindblad equation and work extraction from coherences
- Interfacial thermal transport with strong system-bath coupling: A phonon delocalization effect
- Entanglement-enhanced quantum rectification
- Cooling condition for multilevel quantum absorption refrigerators
- Heat transport and rectification via quantum statistical and coherence asymmetries
- Two-level system in spin baths: Non-adiabatic dynamics and heat transport
- Quantum coherence-control of thermal energy transport: The V model as a case study
- Nonlinear thermal control in an N-terminal junction
- Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping
- Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
- Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
- Heat Current in Non-Markovian Open Systems
- Nonlinear heat conduction in Coulomb-blockaded quantum dots
- Effects of vibrational anharmonicity on molecular electronic conduction and thermoelectric efficiency
- Reconciling perturbative approaches in phonon assisted transport junctions
- Exact dynamics of interacting qubits in a thermal environment: Results beyond the weak coupling limit
- The laws of thermodynamics for quantum dissipative systems: A quasi-equilibrium Helmholtz energy approach
- Thermal conduction in molecular chains: Non-Markovian effects
- Single-molecule-mediated heat current between an electronic and a bosonic bath
- Dark-State-Induced Heat Rectification
- Existence of negative differential thermal conductance in one-dimensional diffusive thermal transport
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
- A polaron theory of quantum thermal transistor in nonequilibrium three-level systems
- Power spectrum of electronic heat current fluctuations
- Heat transfer in a nonequilibrium spin-boson model: A perturbative approach
- Heat transport in the quantum Rabi model: Universality and ultrastrong coupling effects
- Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch
- Quantum thermal machine as a rectifier
- Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
- Nonequilibrium quantum heat transport between structured environments
- Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
- Heat-based circuits using quantum rectification
- Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system: a polaron-transformed Redfield approach
- Photoinduced Anomalous Coulomb Blockade and the Role of Triplet States in Electron Transport through an Irradiated Molecular Transistor II: Effects of Electron-Phonon Coupling and Vibrational Relaxation
- Thermal rectification effects of multiple semiconductor quantum dot junctions
- The hidden negative differential thermal conductance
- Theory of quantum energy transfer in spin chains: From superexchange to ballistic motion
- Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
- Thermoelectric effects in tunneling of spin-polarized electrons in a molecular transistor
- Photonic heat transport from weak to strong coupling
- Transient unidirectional energy flow and diode-like phenomenon induced by non-Markovian environments
- Quantum thermal rectification via state-dependent two-photon dissipation
- Quantum vs Classical Thermal Transport at Low Temperatures