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Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko , J. M. Rubi

Topological semimetals have been at the forefront of experimental and theoretical attention in condensed matter physics. Among these, recently discovered Weyl semimetals have a dispersion described by a three-dimensional Dirac cone, which…

Mesoscale and Nanoscale Physics · Physics 2017-07-31 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer

We analyze the effects of sp^2/sp^3 bond-aspect ratio on the transport properties of amorphous carbon quasi-1D structures where structural disorder varies in a very non-linear manner with the effective bandgap. Using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mikhail V. Katkov , Somnath Bhattacharyya

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Alexander Altland , Dmitry Bagrets

Within a Kubo formalism, we study dc transport and ac optical properties of 3D Dirac and Weyl semimetals. Emphasis is placed on the approach to charge neutrality and on the differences between Dirac and Weyl materials. At charge neutrality,…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 C. J. Tabert , J. P. Carbotte , E. J. Nicol

We study quantum transport in Dirac materials with a single fermionic Dirac cone (strong topological insulators and graphene in the absence of intervalley coupling) in the presence of non-Gaussian long-range disorder. We show, by directly…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 E. Rossi , J. H. Bardarson , M. S. Fuhrer , S. Das Sarma

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear response coefficients consist of the time-independent term…

Mathematical Physics · Physics 2007-05-23 Tohru Koma

In the presence of the charged impurities, we study the weak localization (WL) effect by evaluating the quantum interference correction (QIC) to the conductivity of Dirac fermions in graphene. With the inelastic scattering rate due to…

Strongly Correlated Electrons · Physics 2008-12-22 Xin-Zhong Yan , C. S. Ting

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

Measurements of magnetotransport in SnTe/PbTe heterojunctions grown by the MBE technique on (001) undoped CdTe substrates were performed. At low magnetic fields, quantum corrections to conductivity were observed that may be attributed to…

Mesoscale and Nanoscale Physics · Physics 2023-01-23 D. Śnieżek , Jarosław Wróbel , M. Kojdecki , C. Śliwa , S. Schreyeck , K. Brunner , L. W. Molenkamp , G. Karczewski , Jerzy Wróbel

Unconventional surface states protected by non-trivial bulk orders are sources of various exotic quantum transport in topological materials. One prominent example is the unique magnetic orbit, so-called Weyl orbit, in topological semimetals…

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

New developments in the field of topological matter are often driven by materials discovery, including novel topological insulators, Dirac semimetals and Weyl semimetals. In the last few years, large efforts have been performed to classify…

In Dirac materials, the low energy excitations behave like ultra-relativistic massless particles with linear energy dispersion. A particularly intriguing phenomenon arises with the intrinsic charge transport behavior at the Dirac point…

Mesoscale and Nanoscale Physics · Physics 2016-07-12 Piranavan Kumaravadivel , Xu Du

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

We explore theoretically the magnetoresistvity of three-dimensional Weyl and Dirac semimetals in transversal magnetic fields within two alternative models of disorder: (i) short-range impurities and (ii) charged (Coulomb) impurities.…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 J. Klier , I. V. Gornyi , A. D. Mirlin

Recently synthesized 3D materials with Dirac spectrum exhibit peculiar electric transport qualitatively different from its 2D analogue, graphene. Neglecting impuritiy scattering, the real part of the conductivity is strongly frequency…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 B. Rosenstein , H. C. Kao , M. Lewkowicz