Lindblad master equation : applications to tunnelling current

• Main Authors: Yuen Wei Rong, Joel, Yuen, Joel Wei Rong
• Other Authors: Koh Teck Seng
• Format: Final Year Project
• Language: English
• Published: 2019
• Subjects: DRNTU::Science::Physics
• Online Access: http://hdl.handle.net/10356/77089
• Institution: Nanyang Technological University

In this thesis, we study an electron transport phenomenon observed in silicon coupled quantum dots called Lifetime-Enhanced Transport. We propose an energy-dependent tunnelling model to describe this phenomenon that extends previous works by adding the effects of a finite magnetic field and spin-orbit interaction. We explore the parameter space of our model through simulations and show that in certain parameter regimes, Lifetime-Enhanced Transport can no longer be observed. The simulations demonstrates that sufficiently (1) weak singlet (coherent) tunnel coupling strength, (2) transparent tunnel barrier and (3) strong spin-orbit interaction leads to the disappearance of Lifetime-Enhanced Transport.