Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Quantum transport in Sierpinski carpets
AU - van Veen, Edo
AU - Yuan, Shengjun
AU - Katsnelson, Mikhail I.
AU - Polini, Marco
AU - Tomadin, Andrea
PY - 2016/3/15
Y1 - 2016/3/15
N2 - Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on complex geometries, such as plane fractals. In this work, we calculate the quantum conductance of a 2D electron gas roaming on a Sierpinski carpet (SC), i.e., a plane fractal with Hausdorff dimension intermediate between 1 and 2. We find that the fluctuations of the quantum conductance are a function of energy with a fractal graph, whose dimension can be chosen by changing the geometry of the SC. This behavior is independent of the underlying lattice geometry.
AB - Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on complex geometries, such as plane fractals. In this work, we calculate the quantum conductance of a 2D electron gas roaming on a Sierpinski carpet (SC), i.e., a plane fractal with Hausdorff dimension intermediate between 1 and 2. We find that the fluctuations of the quantum conductance are a function of energy with a fractal graph, whose dimension can be chosen by changing the geometry of the SC. This behavior is independent of the underlying lattice geometry.
U2 - 10.1103/PhysRevB.93.115428
DO - 10.1103/PhysRevB.93.115428
M3 - Journal article
VL - 93
JO - Physical review B
JF - Physical review B
SN - 2469-9950
IS - 11
M1 - 115428
ER -