Phase-Coherent Transport in Graphene Quantum Billiards

By Feng Miao, Sithara S. Wijeratne, Y. Zhang, U. Coskun, Wenzhong Bao, C. N. Lau. Science, 2007

603 citations recorded by the source corpus.

As an emergent electronic material and model system for condensed-matter physics, graphene and its electrical transport properties have become a subject of intense focus. By performing low-temperature transport spectroscopy on single-layer and bilayer graphene, we observe ballistic propagation and quantum interference of multiply reflected waves of charges from normal electrodes and multiple Andreev reflections from superconducting electrodes, thereby realizing quantum billiards in which scattering only occurs at the boundaries. In contrast to the conductivity of conventional two-dimensional materials, graphene's conductivity at the Dirac point is geometry-dependent because of conduction via evanescent modes, approaching the theoretical value 4e2/πh (where e is the electron charge and h is Planck's constant) only for short and wide devices. These distinctive transport properties have important implications for understanding chaotic quantum systems and implementing nanoelectronic devices, such as ballistic transistors.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/5a55502489aa3b13767d9232972e78d99c2adacb

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Citations in the corpus

Experimental Review of Graphene (2011, background): “(b) Minimum conductivity versus aspect ratio for small and large (inset) graphene/SiO2 devices [103].”
Colloquium: The transport properties of graphene: An introduction (2010, background): “Due to these subtleties, there is some reserve in the community (Blake et al., 2009) regarding the measured conductances (Danneau et al., 2008; Miao et al., 2007).”
Electronic transport in two-dimensional graphene (2010, methodology): “The same physics has been seen in “ballistic” graphene, where the device geometry is constructed such that the source and drain electrodes are closer than the typical electronic meanfree-path (Cho and Fuhrer, 2009; Miao et al., 2007).”