Time-dependent thermoelectric transport in nanosystems: reflectionless Luttinger field approach
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.
2018
2018-09-07 11:54:17
1033
thermal conductivity, thermal properties, thermoelectric effects, transport properties, quantum dots
Črt
Lozej
70
Tomaž
Rejec
70
UDK
4
530.145
ISSN pri članku
9
2469-9969
DOI
15
10.1103/PhysRevB.98.075427
COBISS_ID
3
95102721
OceCobissID
13
3042148
RAZ_Lozej_Crt_i2018.pdf
4320277
Predstavitvena datoteka
2018-09-07 11:55:18