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The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Dóra , K. Ziegler , P. Thalmeier

We study fluctuations of the conductance of micron-sized graphene devices as a function of the Fermi energy and magnetic field. The fluctuations are studied in combination with analysis of weak localization which is determined by the same…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. W. Horsell , A. K. Savchenko , F. V. Tikhonenko , K. Kechedzhi , I. V. Lerner , V. I. Fal'ko

We consider a graphene sheet in the vicinity of a substrate, which contains charged impurities. An analytic expression for the probability distribution function of voltage fluctuations due to the charged impurities is derived. The…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 Victor Galitski , Shaffique Adam , S. Das Sarma

We study the conductance of disordered graphene superlattices with short-range structural correlations. The system consists of electron- and hole-doped graphenes of various thicknesses, which fluctuate randomly around their mean value. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 N. Abedpour , Ayoub Esmailpour , Reza Asgari , M. Reza Rahimi Tabar

We measured the conductance fluctuation of bi- and trilayer graphene devices prepared on mechanical exfoliated graphene by an all-dry, lithography-free process using an ultrathin quartz filament as a shadow mask. Reproducible fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neal E. Staley , Conor Puls , Ying Liu

Mesoscopic conductance fluctuations in graphene samples at energies not very close to the Dirac point are studied analytically. We demonstrate that the conductance variance $<[\delta G]^2>$ is very sensitive to the elastic scattering…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

We investigate the size scaling of the conductance of surface disordered graphene sheets of width W and length L. Metallic leads are attached to the sample ends across its width. At E ~ 0, the conductance scales with the system size as…

Mesoscale and Nanoscale Physics · Physics 2008-02-26 E. Louis , J. A. Verges , F. Guinea , G. Chiappe

Graphene is a famous realization of elastic crystalline 2D membrane. Thermal fluctuations of a 2D membrane tend to destroy the long-range order in the system. Such fluctuations are stabilized by strong anharmonicity effects, which preserve…

Disordered Systems and Neural Networks · Physics 2015-10-30 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

We consider the effect of disorder on coherent tunneling through two barriers in series, in the regime of overlapping transmission resonances. We present analytical calculations (using random-matrix theory) and numerical simulations (on a…

Condensed Matter · Physics 2007-05-23 J. A. Melsen , C. W. J. Beenakker

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2020-06-24 V. V. Brazhkin , I. M. Suslov

We perform electrical field effect measurements at 4 K on insulating granular aluminium thin films. When the samples size is reduced below 100 micrometers, reproducible and stable conductance fluctuations are seen as a function of the gate…

Disordered Systems and Neural Networks · Physics 2008-09-08 J. Delahaye , T. Grenet , F. Gay

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Igor L. Aleiner

We study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori

The relationship between the universal conductance fluctuation and the weak localization effect in monolayer graphene is investigated. By comparing experimental results with the predictions of the weak localization theory for graphene, we…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 D. Terasawa , A. Fukuda , A. Fujimoto , Y. Ohno , Y. Kanai , K. Matsumoto

We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the…

Statistical Mechanics · Physics 2026-05-21 Bikram Pal

We present measurements of the electric potential fluctuations on the surface of highly oriented pyrolytic graphite using electrostatic force and atomic force microscopy. Micrometric domain-like potential distributions are observed even…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yonghua Lu , M. Munoz , C. S. Steplecaru , Cheng. Hao , Ming Bai , N. Garcia , K. Schindler , P. Esquinazi

We study anomalous mesoscopic transport effects at the onset of the superconducting transition focusing on the observed large Nernst-Ettinghausen signal in disordered thin films. In the vicinity of the transition, as the Ginzburg-Landau…

Superconductivity · Physics 2019-05-15 Mengling Hettinger , Maxim Khodas , Alex Levchenko

It has been shown that the Kohn--Luttinger superconductivity mechanism interplaying with other types of ordering can be implemented in systems with a hexagonal lattice. A number of unusual properties of such systems in the normal phase have…

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2021-12-28 I. M. Suslov

We investigate conductance fluctuations as a function of carrier density $n$ and magnetic field in diffusive mesoscopic samples made from monolayer and bilayer graphene. We show that the fluctuations' correlation energy and field, which are…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 C. Ojeda-Aristizabal , M. Monteverde , R. Weil , M. Ferrier , S. Gueron , H. Bouchiat
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