# Time-Dependent Thermal Transport Theory.

@article{Biele2015TimeDependentTT, title={Time-Dependent Thermal Transport Theory.}, author={Robert Biele and Roberto D’Agosta and {\'A}ngel Rubio}, journal={Physical review letters}, year={2015}, volume={115 5}, pages={ 056801 } }

Understanding thermal transport in nanoscale systems presents important challenges to both theory and experiment. In particular, the concept of local temperature at the nanoscale appears difficult to justify. Here, we propose a theoretical approach where we replace the temperature gradient with controllable external blackbody radiations. The theory recovers known physical results, for example, the linear relation between the thermal current and the temperature difference of two blackbodies…

## 18 Citations

### Atomistic Framework for Time-Dependent Thermal Transport

- PhysicsThe Journal of Physical Chemistry C
- 2018

Phonons play a major role for the performance of nanoscale devices and consequently a detailed understanding of phonon dynamics is required. Using an auxiliary-mode approach, which has successfully…

### Modelling Thermo-Electric Transport and Excited States in Low Dimensional Systems

- Physics
- 2016

The interaction of radiation with matter at the nanoscale has an inexhaustible range of applicationsin electronics, biotechnology and medicine. At the nanoscale, the length scale wherethe classical…

### Simulating time-dependent thermoelectric transport in quantum systems

- PhysicsPhysical Review B
- 2020

We put forward a gauge-invariant theoretical framework for studying time-resolved thermoelectric transport in an arbitrary multiterminal electronic quantum system described by a noninteracting…

### Functional theories of thermoelectric phenomena

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2017

The theory is shown to recover standard results of the Landauer theory for thermal transport in the steady state, while showing greater flexibility by allowing a description of fast thermal response, temperature oscillations and related phenomena.

### Landauer’s formula with finite-time relaxation: Kramers’ crossover in electronic transport

- PhysicsScientific reports
- 2016

This work calculates the steady-state current when relaxation of electrons in the reservoirs is present and demonstrates that it gives rise to three regimes of behavior: weak relaxation gives a contact-limited current; strong relaxation localizes electrons, distorting their natural dynamics and reducing the current.

### Time-dependent thermoelectric transport in nanosystems: Reflectionless Luttinger field approach

- PhysicsPhysical Review B
- 2018

Recently the Luttinger field approach was proposed by Eich et al. in Phys. Rev B 90, 115116 (2014) as a way to simulate switching on a temperature gradient across a nanoscale device initially in…

### Beyond the State of the Art: Novel Approaches for Thermal and Electrical Transport in Nanoscale Devices

- Physics, BiologyEntropy
- 2019

This review of the standard workhorses for transport in nanoscale devices, namely Boltzmann’s equation and Landauer's approach, highlights their strengths, but also analyzes their limits, proposing theories and models useful to go beyond the state of the art in the investigation of transport in nanoporous devices.

### On the inclusion of dissipation on top of mean-field approaches

- PhysicsThe European Physical Journal B
- 2018

Abstract
We discuss extensions of time-dependent mean-field theories such as time-dependent local density approximation (TDLDA) in order to include incoherent dynamical correlations, which are known…

### Periodic Energy Transport and Entropy Production in Quantum Electronics

- PhysicsEntropy
- 2016

From a thermodynamical perspective recent investigations on nonstationary heat and work generated in quantum systems, emphasizing open questions and unsolved issues are discussed.

### Ultrafast x-ray diffraction thermometry measures the influence of spin excitations on the heat transport through nanolayers

- Physics
- 2017

We investigate the heat transport through a rare earth multilayer system composed of Yttrium (Y), Dysprosium (Dy) and Niobium (Nb) by ultrafast X-ray diffraction. This is an example of a complex heat…

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