# 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} }

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…

## 122 Citations

### Conductance fluctuations in graphene in the presence of long-range disorder

- PhysicsJournal 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.

### Robust mesoscopic fluctuations in disordered graphene

- 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…

### Conductance fluctuations in graphene subjected to short-range disorder

- 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…

### Resistance and mesoscopic fluctuations in graphene

- 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…

### On the sample-dependent minimal conductivity in weakly disordered graphene

- 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…

### Metallic phase of disordered graphene superlattices with long-range correlations

- 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…

### HIGH FIELD QUANTUM HALL EFFECT IN DISORDERED GRAPHENE NEAR THE DIRAC POINT

- 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…

### Superconductivity-enhanced conductance fluctuations in few-layer graphene

- PhysicsNanotechnology
- 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

### Sub-Poissonian shot noise in graphene.

- PhysicsPhysical 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).

### Impurity-assisted tunneling in graphene

- Physics
- 2007

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…

### Weak-localization magnetoresistance and valley symmetry in graphene.

- PhysicsPhysical 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.

### Weak antilocalization in epitaxial graphene: evidence for chiral electrons.

- PhysicsPhysical 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.

### Mesoscopic Physics of Electrons and Photons

- 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 Physics

- Political ScienceNature
- 1965

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),…

### Carrier transport in two-dimensional graphene layers.

- PhysicsPhysical 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

- Phys. Rev. B
- 2007

### Eur. Phys. J. B

- Eur. Phys. J. B
- 2006