# Anomalously large conductance fluctuations in weakly disordered graphene

@article{Rycerz2006AnomalouslyLC,
title={Anomalously large conductance fluctuations in weakly disordered graphene},
author={Adam Rycerz and Jakub Tworzydło and C. W. J. Beenakker},
journal={EPL (Europhysics Letters)},
year={2006},
volume={79},
pages={57003}
}
• Published 18 December 2006
• Physics
• EPL (Europhysics Letters)
We have studied numerically the mesoscopic fluctuations of the conductance of a graphene strip (width W larger than length L), in an ensemble of samples with different realizations of the random electrostatic potential landscape. For strong disorder (potential fluctuations comparable to the hopping energy), the variance of the conductance approximates the value predicted by the Altshuler-Lee-Stone theory of universal conductance fluctuations, Var GUCF=0.12 (W/L)(2e2/h)2. For weaker disorder the…

## Figures from this paper

• Physics
Journal of physics. Condensed matter : an Institute of Physics journal
• 2016
Qualitative agreement is found with experiments shown that an applied magnetic field produces a remarkable reduction in the amplitude of these conductance fluctuations, and it appears that the reduction in magnetic field of the fluctuations arises from a field induced smoothing of the conductance landscape.
• Physics
• 2012
The temperature dependence of the mesoscopic conductance fluctuations is investigated for disordered graphene. The fluctuations are generated by varying either magnetic field or carrier density (via
• Physics
• 2015
Conductance fluctuations in graphene nanoribbons with a disordered, short-range potential are numerically studied. The authors carry out Fermi energy sweeps at different magnetic fields and magnetic
• Physics
• 2010
We investigate the mesoscopic resistance fluctuations (MRFs) that, as we showed previously, cause the exponentially decaying low‐temperature resistance anomaly in graphene monolayers. We determine
• Physics
• 2021
We present a uniﬁed understanding of the experimentally observed minimal dc conductivity in weakly disordered graphene. Firstly, based on linear response theory, we reveal that randomness or disorder
• Physics
• 2011
Using the transfer matrix method, we study the conductance of the chiral particles through a monolayer graphene superlattice with long-range correlated disorder distributed on the potential of the
• Physics
• 2012
We investigate on the conductance properties of low mobility graphene in the quantum Hall regime at filling factor less than $${\textit v}=2.$$ For this purpose, we compare the high-field
• Physics
Nanotechnology
• 2010
The mesoscopic disorder induced rms conductance variance delta G in short few-layer graphene (FLG) flakes contacted by two superconducting (S) Ti/Al contacts is investigated and pronounced conductance fluctuations superimposed on a linear background of the two-terminal conductance G are observed.

## References

SHOWING 1-10 OF 30 REFERENCES

• Physics
Physical review letters
• 2006
It is found that the minimum conductivity of order e2/h at the Dirac point (when the electron and hole excitations are degenerate) is associated with a maximum of the Fano factor (the ratio of noise power and mean current).
The electric conductance of a strip of undoped graphene increases in the presence of a disorder potential, which is smooth on atomic scales. The phenomenon is attributed to impurity-assisted resonant
• Physics
Physical review letters
• 2006
This work evaluates the dependence of the magnetoresistance of graphene on relaxation rates associated with various possible ways of breaking a "hidden" valley symmetry of the system by evaluating the dependent rates of trigonal warping and intervalley scattering.
• Physics
Physical review letters
• 2007
Weak antilocalization in 2D samples manifests itself as a broad cusplike depression in the longitudinal resistance for magnetic fields 10 mT<B<5 T and an extremely sharp weak-localization resistance peak at B=0, implying the chiral electronic character of the samples.
• Physics
• 2007
1. Introduction: mesoscopic physics 2. Wave equations in random media 3. Perturbation theory 4. Probability of quantum diffusion 5. Properties of the diffusion equation 6. Dephasing 7. Electronic
Solid State PhysicsAdvances in Research and Applications, Vol. 15. Edited by Frederick Seitz and David Turnbull. Pp. xvi + 505. (New York: Academic Press, Inc.; London: Academic Press, Inc. (London),
• Physics
Physical review letters
• 2007
It is argued that the experimentally observed saturation of conductivity at low density arises from the charged impurity induced inhomogeneity in the graphene carrier density which becomes severe for n less, similarn(i) approximately 10(12) cm(-2).

• Phys. Rev. B
• 2007

### Eur. Phys. J. B

• Eur. Phys. J. B
• 2006