Nonergodicity and microscopic symmetry breaking of the conductance fluctuations in disordered mesoscopic graphene

We show a dramatic deviation from ergodicity for the conductance fluctuations in graphene. In marked contrast to the ergodicity of dirty metals, fluctuations generated by varying magnetic field are shown to be much smaller than those obtained when sweeping Fermi energy. They also exhibit a strongly...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-10, Vol.86 (16), Article 161405
Main Authors: Bohra, G., Somphonsane, R., Aoki, N., Ochiai, Y., Akis, R., Ferry, D. K., Bird, J. P.
Format: Article
Language:English
Subjects:
Broken symmetry
Condensed matter
Conductance
Ergodic processes
Fermi surfaces
Fluctuation
Graphene
Magnetic fields
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Summary:We show a dramatic deviation from ergodicity for the conductance fluctuations in graphene. In marked contrast to the ergodicity of dirty metals, fluctuations generated by varying magnetic field are shown to be much smaller than those obtained when sweeping Fermi energy. They also exhibit a strongly anisotropic response to the symmetry-breaking effects of a magnetic field, when applied perpendicular or parallel to the graphene plane. These results reveal a complex picture of quantum interference in graphene, whose description appears more challenging than for conventional mesoscopic systems.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.86.161405