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Universal conductance fluctuations in Sierpinski carpets

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Abstract

We theoretically investigate the conductance fluctuation of two-terminal device in Sierpinski carpets. We find that, for the circular orthogonal ensemble (COE), the conductance fluctuation does not display a universal feature; but for circular unitary ensemble (CUE) without time-reversal symmetry or circular symplectic ensemble (CSE) without spin-rotational symmetry, the conductance fluctuation can reach an identical universal value of 0:74 ± 0:01(e2/h). We further find that the conductance distributions around the critical disorder strength for both CUE and CSE systems share the similar distribution forms. Our findings provide a better understanding of the electronic transport properties of the regular fractal structure.

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Acknowledgments

This work was financially supported by the National Key Research and Development Program (Grant Nos. 2017YFB0405703 and 2016YFA0301700), the National Natural Science Foundation of China (Grant No. 11474265), and Anhui Initiative in Quantum Information Technologies. We thank the supercomputing service of AM-HPC and the Supercomputing Center of USTC for providing the high-performance computing resources.

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  1. ICQD, Hefei National Laboratory for Physical Sciences at Microscale, Synergetic Innovation Center of Quantum Information and Quantum Physics, CAS Key Laboratory of Strongly-Coupled Quantum Matter Physics, and Department of Physics, University of Science and Technology of China, Hefei, 230026, China

    Yu-Lei Han & Zhen-Hua Qiao

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  1. Yu-Lei Han
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Correspondence to Zhen-Hua Qiao.

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Han, YL., Qiao, ZH. Universal conductance fluctuations in Sierpinski carpets. Front. Phys. 14, 63603 (2019). https://doi.org/10.1007/s11467-019-0919-y

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