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The transport properties of a bilayer graphene are studied theoretically within a self-consistent Born approximation. The electronic spectrum is composed of $k$-linear dispersion in the low-energy region and $k$-square dispersion as in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando

We investigate the second spectrum of charge carrier density fluctuations in graphene within the McWorther model, where noise is induced by electron traps in the substrate. Within this simple picture, we obtain a closed-form expression…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

We characterize the carrier density profile of the ground state of graphene in the presence of particle-particle interaction and random charged impurity for zero gate voltage. We provide detailed analysis on the resulting spatially…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Najafi , M. Ghasemi Nezhadhaghighi

By using the real-space Green-Kubo formalism we study numerically the electron transport properties of low-fluorinated graphene. At low temperatures the diffuse transport regime is expected to be prevalent, and we found a pronounced…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 D. V. Kolesnikov , V. A. Osipov

We study the thermal conductivity in disordered $s$-wave superconductors. Expanding on previous works for normal metals, we develop a formalism that tackles particle diffusion as well as the weak localization (WL) and weak anti-localization…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Lucia Gonzalez Rosado , Fabian Hassler , Gianluigi Catelani

The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two…

Mesoscale and Nanoscale Physics · Physics 2013-05-13 Alessandro Cresti , Frank Ortmann , Thibaud Louvet , Dinh Van Tuan , Stephan Roche

Transport properties of single-layer graphene with correlated one-dimensional defects are studied using the time-dependent real-space Kubo-Greenwood formalism. Such defects are present in epitaxial graphene, comprising atomic terraces and…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko

Two-dimensional Dirac fermions are used to discuss quasiparticles in graphene in the presence of impurity scattering. Transport properties are completely dominated by diffusion. This may explain why recent experiments did not find weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Klaus Ziegler

We have used scanning tunneling microscopy and spectroscopy to resolve the spatial variation of the density of states of twisted graphene layers on top of a highly oriented pyrolytic graphite substrate. Owing to the twist a moire pattern…

We employ the exact eigenstate basis formalism to study electrical conductivity in graphene, in the presence of short-range diagonal disorder and inter-valley scattering. We find that for disorder strength, $W \ge$ 5, the density of states…

Strongly Correlated Electrons · Physics 2015-05-28 Rajyavardhan Ray , Avinash Singh

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

We show how the weak field magneto-conductance can be used as a tool to characterize epitaxial graphene samples grown from the C or the Si face of Silicon Carbide, with mobilities ranging from 120 to 12000 cm^2/(V.s). Depending on the…

We study the dynamics of a lattice hard-core boson gas released from a domain wall initial state in the presence of two weak links (defects). When the two defects are separated by a finite distance, the resulting density profile exhibits…

Quantum Gases · Physics 2026-04-01 A. Takacs , J. Dubail , P. Calabrese

We put forward a theory of the weak localization in two dimensional graphene layers which explains experimentally observable transition between positive and negative magnetoresistance. Calculations are performed for the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 M. O. Nestoklon , N. S. Averkiev

We describe the weak localization correction to conductivity in ultra-thin graphene films, taking into account disorder scattering and the influence of trigonal warping of the Fermi surface. A possible manifestation of the chiral nature of…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 K. Kechedzhi , E. McCann , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

Conductance fluctuation is usually unavoidable in graphene nanoribbons (GNR) due to the presence of disorder along its edges. By measuring the low-frequency noise in GNR devices, we find that the conductance fluctuation is strongly…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Guangyu Xu , Carlos M. Torres , Emil B. Song , Jianshi Tang , Jingwei Bai , Xiangfeng Duan , Yuegang Zhang , Kang L. Wang

We present a theoretical description of the electronic properties of graphene in the presence of disorder, electron-electron interactions, and particle-hole symmetry breaking. We show that while particle-hole asymmetry, long-range Coulomb…

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

The density of states (DoS), $\varrho(E)$, of graphene is investigated numerically and within the self-consistent T-matrix approximation (SCTMA) in the presence of vacancies within the tight binding model. The focus is on compensated…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 V. Haefner , J. Schindler , N. Weik , T. Mayer , S. Balakrishnan , R. Narayanan , S. Bera , F. Evers

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

We study conductance across a twisted bilayer graphene coupled to single-layer graphene leads in two setups: a flake of graphene on top of an infinite graphene ribbon and two overlapping semi-infinite graphene ribbons. We find conductance…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Hadi Z. Olyaei , Bruno Amorim , Pedro Ribeiro , Eduardo V. Castro