Time-dependent thermoelectric transport in nanosystems

reflectionless Luttinger field approach

Črt Lozej (Author), Tomaž Rejec (Author)

Abstract

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 thermal equilibrium. The time-dependent particle and heat currents can then be calculated by propagating the initial equilibrium state of the system in time. Unfortunately, applying a uniform Luttinger field in the whole of a lead causes a discrepancy between steady-state currents in the long time limit and those predicted by the Landauer-Büttiker formulas as well as artifacts at short times. Here we propose a modified approach where the Luttinger field gradually reaches its final value across a transition region. If the length of the transition region is sufficient, the electrons move through without reflecting. In this way the correct energy distribution of electrons originating from such a lead, corresponding to the new temperature, is established in the scattering region. Our approach is tested on a single quantum dot and a parallel double quantum dot system.

Keywords

thermal conductivity;thermal properties;thermoelectric effects;transport properties;quantum dots;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	530.145
COBISS:	95102721
ISSN:	2469-9969
Views:	762
Downloads:	598
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Pages:	str. 075427-1-075427-10
Volume:	ǂVol. ǂ98
Issue:	ǂissue ǂ7
Chronology:	2018
DOI:	10.1103/PhysRevB.98.075427
ID:	10958781