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Using the Kubo formula we develop a general and simple expression for the minimal conductivity in systems described by a two by two Hamiltonian. As an application we derive an analytical expression for the minimal conductivity tensor of…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 Gyula Dávid , Péter Rakyta , László Oroszlány , József Cserti

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 inevitably induces momentum dependent…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Weiwei Chen , Yedi Shen , Bo Fu , Qinwei Shi , W. Zhu

Results of experimental study of the weak localization phenomenon in 2D system with artificial inhomogeneity of potential relief are presented. It is shown that the shape of the magnetoconductivity curve is determined by the statistics of…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut

We investigate the transport of electrons in disordered and pristine graphene devices. Fano shot noise, a standard metric to assess the mechanism for electronic transport in mesoscopic devices, has been shown to produce almost the same…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Mario F. Borunda , H. Hennig , Eric J. Heller

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

Proximity coupling of bilayer graphene (BLG) to transition metal dichalcogenides (TMDs) offers a promising route to engineer gate-tunable spin-orbit coupling (SOC) while preserving BLG's exceptional electronic properties. This tunability…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 E. Icking , F. Wörtche , A. W. Cummings , A. Wörtche , K. Watanabe , T. Taniguchi , C. Volk , B. Beschoten , C. Stampfer

The effect of a varying pseudo-magnetic field, which falls as $1/x^2$, on a two dimensional electron gas in graphene is investigated. By considering the second order Dirac equation, we show that its correct general solution is that which…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 L. G. da Silva Leite , D. Cogollo , C. Filgueiras , Edilberto O. Silva

We study the dc conductivity of a weakly disordered 2d Dirac electron gas with two bands and two spectral nodes, employing a field theoretical version of the Kubo--Greenwood conductivity formula. In this paper we are concerned with the…

Strongly Correlated Electrons · Physics 2018-08-02 Andreas Sinner , Klaus Ziegler

Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

Cyclotron resonance has been measured in far-infrared transmission of GaAs/Al$_x$Ga$_{1-x}$As heterostructures with an etched hexagonal lateral superlattice. Non-linear dependence of the resonance position on magnetic field was observed as…

Mesoscale and Nanoscale Physics · Physics 2012-05-22 L. Nadvornik , M. Orlita , N. A. Goncharuk , L. Smrcka , V. Novak , V. Jurka , K. Hruska , Z. Vyborny , Z. R. Wasilewski , M. Potemski , K. Vyborny

We investigate optical transitions of non-interacting electron systems consisting of two symmetric energy bands touching each other at the Fermi energy (e.g. graphene at half filling). Optical conductivity is obtained using Kubo formula at…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Ádám Bácsi , Attila Virosztek

We present a detailed numerical study of the electronic transport properties of bilayer and trilayer graphene within a framework of single-electron tight-binding model. Various types of disorder are considered, such as resonant (hydrogen)…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

New materials such as nodal-line semimetals offer a unique setting for novel transport phenomena. Here, we calculate the quantum correction to conductivity in a disordered nodal-line semimetal. The torus-shaped Fermi surface and encircled…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Wei Chen , Hai-Zhou Lu , Oded Zilberberg

Transport in ultrathin graphite grown on silicon carbide is dominated by the electron-doped epitaxial layer at the interface. Weak anti-localization in 2D samples manifests itself as a broad cusp-like depression in the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xiaosong Wu , Xuebin Li , Zhimin Song , Claire Berger , Walt A. de Heer

We study transport length scales in carbon nanotubes and graphene ribbons under the influence of Anderson disorder. We present generalized analytical expressions for the density of states, the elastic mean free path and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Norbert Nemec , Klaus Richter , Gianaurelio Cuniberti

The influence of GaN nanowires on the optical and electrical properties of graphene deposited on them was studied using Raman spectroscopy and microwave induced electron transport method. It was found that interaction with the nanowires…

We have performed the first experimental investigation of quantum interference corrections to the conductivity of a bilayer graphene structure. A negative magnetoresistance - a signature of weak localisation - is observed at different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko

Using exact diagonalisation and Density Matrix Renormalisation group (DMRG) approach, we analyse the transition to a localised state of a weakly interacting quasi-1D Bose gas subjected to a quasiperiodic potential. The analysis is performed…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Xiaolong Deng , Roberta Citro , Anna Minguzzi , Edmond Orignac

We study diffusive magnetotransport in highly p-doped large area twisted bilayer graphene in 1{\deg}, 7{\deg}, 9{\deg} and 20{\deg} samples. We report weak localization in twisted bilayer graphene for the first time. All samples exhibit…