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Universal conductance fluctuations in Sierpinski carpets |
Yu-Lei Han, Zhen-Hua Qiao( ) |
| 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 |
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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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| Keywords
electronic transport
conductance fluctuation
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Corresponding Author(s):
Zhen-Hua Qiao
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Issue Date: 21 August 2019
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It should be noted that the rms(G) in Figs. 3 and 4 seem not to be exactly same mainly due to discrete distribution of disorder strength W in numerical method. In order to reasonably describe the universal conductance fluctuations, we use a range of [–0.1, 0.1] (e2/h) based on the UCF value. The same method also used in other papers (Refs. [10–12]).
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| 41 |
In circular orthogonal ensemble, there does not exist a metal-insulator transition when system dimension below 3 according to the scaling theory of localization. Therefore, there is not UCF in circular orthogonal ensemble.
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