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The Thouless conjecture states that the average conductance of a disordered metallic sample in the diffusive regime can be related to the sensitivity of the sample's spectrum to a change in the boundary conditions. Here we present results…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Braun , E. Hofstetter , G. Montambaux , A. MacKinnon

We propose an extensive report on the simulation of electronic transport in 2D graphene in presence of structural defects. Amongst the large variety of such defects in sp$^2$ carbon-based materials, we focus on the Stone-Wales defect and on…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Aurelien Lherbier , Simon M. -M. Dubois , Xavier Declerck , Yann-Michel Niquet , Stephan Roche , Jean-Christophe Charlier

Using numerical simulations and analytical approximations we study a modified version of the two-dimensional lattice model [R. Piasecki,phys. stat. sol. (b) 209, 403 (1998)] for random pH:(1-p)L systems consisting of grains of high (low)…

Materials Science · Physics 2015-06-24 R. Piasecki

We study the conductance of an interconnect between two graphene leads formed by a single-atom carbon chain. Its dependence on the chemical potential and the number of atoms in the chain is qualitatively different from that in the case of…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 Wei Chen , A. V. Andreev , G. F. Bertsch

Quantum point contacts (QPCs) are cornerstones of mesoscopic physics and central building blocks for quantum electronics. Although the Fermi wave-length in high-quality bulk graphene can be tuned up to hundreds of nanometers, the…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 B. Terrés , L. A. Chizhova , F. Libisch , J. Peiro , D. Jörger , S. Engels , A. Girschik , K. Watanabe , T. Taniguchi , S. V. Rotkin , J. Burgdörfer , C. Stampfer

The effect of random surface roughness on quantum size effect in thin films is discussed. The conductivity of quantized metal films is analyzed for different types of experimentally identified correlation functions of surface…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. V. Ponomarev , A. E. Meyerovich

We have investigated electrical transport and shot noise in graphene field effect devices. In large width over length ratio $W/L$ graphene strips, we have measured shot noise at low frequency ($f$ = 600--850 MHz) in the temperature range of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Danneau , F. Wu , M. F. Craciun , S. Russo , M. Y. Tomi , J. Salmilehto , A. F. Morpurgo , P. J. Hakonen

We report on the unexpected increase in the dephasing lengths of a graphene sheet caused by the deposition of Pd nanoclusters, as demonstrated by weak localization measurements. The dephasing lengths reached saturated values at low…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yuyuan Qin , Junhao Han , Guoping Guo , Yongping Du , Zhaoguo Li , You Song , Li Pi , Xuefeng Wang , Xiangang Wan , Min Han , Fengqi Song

We measure the dependence of the conductivity of graphene as a function of magnetic field, temperature and carrier density and discover a saturation of the dephasing length at low temperatures that we ascribe to spin memory effects. Values…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. A. Kozikov , D. W. Horsell , E. McCann , V. I. Fal'ko

We study the influence of boundary conditions transverse to the transport direction for disordered mesoscopic conductors both at the Anderson metal-insulator transition and in the metallic regime. We show that the boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel Braun , Etienne Hofstetter , Gilles Montambaux , Angus MacKinnon

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

This work examines the influence of thickness on the electrical transport properties of mechanically exfoliated two-dimensional SnSe$_2$ nanosheets, derived from the bulk single crystal. Contrary to conventional trend observed in…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Aarti Lakhara , Lars Thole , Rolf J. Haug , P. A. Bhobe

The length dependence is computed of the resistance of a disordered normal-metal wire attached to a superconductor. The scaling of the transmission eigenvalue distribution with length is obtained exactly in the metallic limit, by a…

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

Weak topological insulators have an even number of Dirac cones in their surface spectrum and are thought to be unstable to disorder, which leads to an insulating surface. Here we argue that the presence of disorder alone will not localize…

Mesoscale and Nanoscale Physics · Physics 2012-02-17 Roger S. K. Mong , Jens H. Bardarson , Joel E. Moore

Transport plays a key role in characterizing topological insulators and semimetals. Understanding the effect of disorder is crucial to assess the robustness of experimental signatures for topology. In this work, we find the absence of…

Disordered Systems and Neural Networks · Physics 2024-11-05 Carolina Paiva , Jan Behrends

We present numerical studies of conduction in graphene nanoribbons with different types of disorder. We find that even when defect scattering depresses the conductance to values two orders of magnitude lower than 2e^2/h, equally spaced…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 S. Ihnatsenka , G. Kirczenow

The resistivity of ultra-clean suspended graphene is strongly temperature dependent for 5K<T<240K. At T~5K transport is near-ballistic in a device of ~2um dimension and a mobility ~170,000 cm^2/Vs. At large carrier density, n>0.5*10^11…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. I. Bolotin , K. J. Sikes , J. Hone , H. L. Stormer , P. Kim

We theoretically study the magnetoconductivity of the Weyl semimetal having a surface boundary under $E$ || $B$ geometry and demonstrate that the topological surface state plays an essential role in the magnetotransport. In the long-range…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Yuya Ominato , Mikito Koshino

We investigate the transport properties of massive Dirac fermions subjected to uncorrelated scalar potential disorder, and mass disorder. Using a finite difference method, the conductance is calculated for a wide variety of combinations of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Arman Duha , Mario Borunda

The conductance of a disordered finite-size electron system is calculated by reducing the initial dynamic problem of arbitrary dimensionality to strictly one-dimensional problems for one-particle mode propagators. The metallic ground state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. V. Tarasov