Time-dependent thermoelectric transport in nanosystems: reflectionless Luttinger field approach

Lozej, Črt (author), Rejec, Tomaž (author)

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.

• Language: English
• Keywords: thermal conductivity, thermal properties, thermoelectric effects, transport properties, quantum dots
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 075427-1 - 075427-10
• Numbering: Vol. 98, issue 7
• PID: 20.500.12556/RUL-102751
• UDC: 530.145
• ISSN on article: 2469-9969
• DOI: 10.1103/PhysRevB.98.075427
• COBISS.SI-ID: 95102721
• Publication date in RUL: 07.09.2018

Record is a part of a journal

• Title: Physical review
• Shortened title: Phys. rev. B.
• Publisher: American Physical Society
• ISSN: 2469-9969
• COBISS.SI-ID: 3042148