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In this paper, we study the quantum properties of a bilayer graphene with (asymmetry) line defects. The localized states are found around the line defects. Thus, the line defects on one certain layer of the bilayer graphene can lead to an…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Xiao-Ming Zhao , Ya-Jie Wu , Chan Chen , Ying Liang , Su-Peng Kou

We investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Arisato Kawabata , Tobias Brandes

We study the transmission of a disordered waveguide subjected to a finite bias field. The statisticaldistribution of transmission is analytically shown to take a universal form. It depends on a singleparameter, the system length expressed…

The properties of conductance in one-dimensional (1D) quantum wires are statistically investigated using an array of 256 lithographically-identical split gates, fabricated on a GaAs/AlGaAs heterostructure. All the split gates are measured…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 L. W. Smith , H. Al-Taie , F. Sfigakis , P. See , A. A. J. Lesage , B. Xu , J. P. Griffiths , H. E. Beere , G. A. C. Jones , D. A. Ritchie , M. J. Kelly , C. G. Smith

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

In this research, we present a Python-based solution designed to simulate a one-dimensional quantum system that incorporates multiple Dirac $\delta -$% potentials. The primary aim of this research is to investigate the scattering problem…

Quantum Physics · Physics 2024-06-04 Erfan Keshavarz , S. Habib Mazharimousavi

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

The electron transport through the parabolic quantum wire placed in longitudinal magnetic field in the presence of the system of short-range impurities inside the wire is investigated. Using approach based on the zero-range potential theory…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 I. A. Kokurin , V. A. Margulis

We study the quantum transport in multiterminal networks of quasi-one-dimensional diffusive wires. When calculating the weak localization correction to the conductances, we show that the Cooperon must be properly weighted over each wire.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Texier , Gilles Montambaux

The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. New regime of conduction in correlated 1D systems is predicted beyond the well-known regime of…

Strongly Correlated Electrons · Physics 2015-10-01 S. N. Artemenko , P. P. Aseev , D. S. Shapiro , R. R. Vakhitov

We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the…

Strongly Correlated Electrons · Physics 2009-11-07 D. G. Polyakov , I. V. Gornyi

We investigate the conductivity of graphene sheet deformed over a gate. The effect of the deformation on the conductivity is twofold: The lattice distortion can be represented as pseudovector potential in the Dirac equation formalism,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. V. Medvedyeva , Ya. M. Blanter

We study the quantum transport through networks of diffusive wires connected to reservoirs in the Landauer-B\"uttiker formalism. The elements of the conductance matrix are computed by the diagrammatic method. We recover the combination of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Christophe Texier , Gilles Montambaux

We have studied the quantum transmission properties of serial stub and loop structures. Throughout we have considered free electron networks and the scattering arises solely due to the geometric nature of the problem. The band formation in…

Condensed Matter · Physics 2007-05-23 P. Singha Deo , A. M. Jayannavar

We investigate the propagation of electronic waves described by the Dirac equation subject to a L\'evy-type disorder distribution. Our numerical calculations, based on the transfer matrix method, in a system with a distribution of potential…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Jonas R. F. Lima , Luiz Felipe C. Pereira , Anderson L. R. Barbosa

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

Tunneling of electrons through the barriers in heterostructures has been studied, within unified transfer matrix approach. The effect of barrier width on the transmission coefficient of the electrons has been investigated for different…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 Jatindranath Gain , Madhumita Das Sarkar , Sudakshina Kundu

We study the electron transport through a quantum wire under the influence of external time-dependent gate voltages. The wire is modelled by a tight-binding Hamiltonian for which we obtain the current from the corresponding transmission.…

Mesoscale and Nanoscale Physics · Physics 2009-04-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

In this paper we will give a short rewiew about the conductance of a mesoscopic waveguide strip with a few impurities. Green-function method is used allowing to treat systems with low number of impurities, not only the completly clean case.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Cserti , G. Szálka , G. Vattay

We present a two-dimensional model of a Fermionic wire which shows a power-law conductance behavior despite the presence of uncorrelated disorder along the direction of the transport. The power-law behavior is attributed to the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Junaid Majeed Bhat