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Within the Landauer transport formalism we demonstrate that conductance zeroes are possible in bipartite systems at half-filling when leads are contacted to different sublattice sites. In particular, we investigate the application of this…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 M. Nita , M. Tolea , D. C. Marinescu

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Pristine graphene and graphene-based heterostructures exhibit exceptionally high electron mobility and conductance if their surface contains few electron-scattering impurities. Here, we reveal a universal connection between graphene's…

In the present paper, using Pseudo-Quantum Electrodynamics to describe the interaction between electrons in graphene, we investigate the longitudinal and optical conductivities of a neutral graphene sheet near a grounded perfectly…

High Energy Physics - Theory · Physics 2020-09-04 D. C. Pedrelli , D. T. Alves , V. S. Alves

One dimensional conductors are described by Luttinger liquid theory, which predicts a power-law suppression of the density of states near the Fermi level. The scaling exponent is non-universal in the general case, but is predicted to be…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Liam A. Cohen , Noah L. Samuelson , Taige Wang , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

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

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Louis G. C. S. Sá , A. L. R. Barbosa , J. G. G. S. Ramos

We study the temperature-dependent corrections to the conductance due to electron-electron (e-e) interactions in clean two-dimensional conductors, such as lightly doped graphene or other Dirac matter. We use semiclassical Boltzmann kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. Uzair , K. Sabeeh , Markus Mueller

We theoretically revisit graphene transport properties as a function of carrier density, taking into account possible correlations in the spatial distribution of the Coulomb impurity disorder in the environment. We find that the charged…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 Qiuzi Li , E. H. Hwang , E. Rossi , S. Das Sarma

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a conducting rectangle, combined with the semicircle model for…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 Dmitry A. Abanin , Leonid S. Levitov

We introduce a non-linear frequency dependent D+1 terminal conductance that characterizes a D dimensional Fermi gas, generalizing the Landauer conductance in D=1. For a 2D ballistic conductor we show that this conductance is quantized and…

Mesoscale and Nanoscale Physics · Physics 2022-02-17 C. L. Kane

The directed network model describing chiral edge states on the surface of a cylindrical 3D quantum Hall system is known to map to a one-dimensional quantum ferromagnetic spin chain. Using the spin wave expansion for this chain, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ilya A. Gruzberg , N. Read , Subir Sachdev

In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly…

Strongly Correlated Electrons · Physics 2023-07-18 Rose Davies , Igor V. Lerner , Igor V. Yurkevich

Disordered 2D chiral fermions provide an effective description of several materials including graphene and topological insulators. While previous analysis considered delta correlated disorder and no ultraviolet cut-offs, we consider here…

Disordered Systems and Neural Networks · Physics 2013-08-21 Vieri Mastropietro

The contact conductance between graphene and two quantum wires which serve as the leads to connect graphene and electron reservoirs is theoretically studied. Our investigation indicates that the contact conductance depends sensitively on…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Haidong Li , Yisong Zheng

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

We calculate the optical (cutoff >> frequency >> temperature) conductivity in clean graphene in the ultimate low-energy regime, when retardation effects of the electromagnetic interaction become important and when the full Lorentz symmetry…

Strongly Correlated Electrons · Physics 2013-06-12 Igor F. Herbut , Vieri Mastropietro

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev
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