Universal Conductance Fluctuation in Sierpinski Carpet
Abstract
We report a theoretical investigation on conductance fluctuation of disordered two-terminal device in Sierpinski carpet. We find that the conductance fluctuation does not display a universal feature in circular orthogonal ensemble. But in the presence of magnetic field or spin-obit coupling, a universal conductance fluctuation (UCF) appears. More specify, in the presence of magnetic field, the UCF value is about 0.74 +/- 0.01 (e2/h), while when applied spin-orbit coupling the UCF value exists also around 0.74 +/- 0.01 (e2/h). By further investigating the conductance distribution in the critical disorder strength, we find that both of the symmetries share the same distribution function. Our work provide a better understanding of the transport properties of regular fractal structure and shed light on more transport studies of fractals.
National Key R & D Program (Program No. 2016YFA0301700), The NNSFC(Grants No. 11474265 and No. 11504240), The China Government Youth 1000-Plan Talent Program, Shenzhen Key Lab Fund (ZDSYS 20170228105421966).- Publication:
-
APS March Meeting Abstracts
- Pub Date:
- 2019
- Bibcode:
- 2019APS..MARP05004H