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We discuss the influence of the electromagnetic environment and the electron-electron interaction on the weak localization correction to the conductivity of a disordered metal. The theory of this phenomenon for sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Maxim Vavilov , Vinay Ambegaokar

Combining scattering matrix formalism with non-linear $\sigma$-model technique we analyze weak localization effects in arrays of chaotic quantum dots connected via barriers with arbitrary distribution of channel transmissions. With the aid…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri S. Golubev , Andrei D. Zaikin

We study the quantum diffusive transport of multivalley massive Dirac cones, where time-reversal symmetry requires opposite spin orientations in inequivalent valleys. We show that the intervalley scattering and intravalley scattering can be…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Hai-Zhou Lu , Wang Yao , Di Xiao , Shun-Qing Shen

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

Using the Feynman diagram techniques, we derive the finite-temperature conductivity and magnetoconductivity formulas from the quantum interference and electron-electron interaction, for a three-dimensional disordered Weyl semimetal. For a…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Hai-Zhou Lu , Shun-Qing Shen

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 quantum correction to conductivity on the surface of cubic topological Kondo insulators with multiple Dirac bands. We consider the model of time-reversal invariant disorder which induces the scattering of the electrons within…

Strongly Correlated Electrons · Physics 2015-10-21 Maxim Dzero , Maxim G. Vavilov , Kostyantyn Kechedzhi , Victor Galitski

On the basis of self-consistent Born approximation, we present a theory of weak localization of Dirac fermions under finite-range scatters in graphene. With an explicit solution to the ground state of singlet pseudospin Cooperons, we solve…

Strongly Correlated Electrons · Physics 2008-12-28 Xin-Zhong Yan , C. S. Ting

The quantum corrections to the conductivity and the thermopower in monolayer graphene are studied. We use the recursive Green's function method to calculate numerically the conductivity and the thermopower of graphene. We then analyze these…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Aleksander P. Hinz , Eduardo R. Mucciolo , Stefan Kettemann

We study a weakly disordered 2D electron gas with two bands and a spectral node within the weak-localization approach and compare its results with those of Gaussian fluctuations around the self-consistent Born approximation. The appearance…

Disordered Systems and Neural Networks · Physics 2015-04-06 K. Ziegler , A. Sinner

Interlayer coupling in rotationally faulted graphene multilayers breaks the local sublattice-symmetry of the individual layers. Earlier we have presented a theory of this mechanism, which reduces to an effective Dirac model with…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Kindermann , P. N. First

Theory of interference-induced quantum corrections to conductivity is developed for two dimensional systems with chiral spin textures including skyrmions. The effect of exchange interaction between electrons and spin textures on weak…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 K. S. Denisov , L. E. Golub

We have experimentally investigated quantum interference corrections to the conductivity of graphene nanoribbons at temperatures down to 20 mK studying both weak localization (WL) and universal conductance fluctuations (UCF). Since in…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 S. Minke , J. Bundesmann , D. Weiss , J. Eroms

Theory of weak antilocalization is developed for high-mobility two-dimensional systems. Spin-orbit interaction of Rashba and Dresselhaus types is taken into account. Anomalous magnetoresistance is calculated in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2010-12-30 L. E. Golub

A brief review of experiments directed to study a gradual localization of charge carriers and metal-insulator transition in samples of disordered monolayer graphene is presented. Disorder was induced by irradiation with different doses of…

Mesoscale and Nanoscale Physics · Physics 2019-07-25 I. Shlimak , E. Zion , A. Butenko , Yu. Kaganovskii , V. Richter , A. Sharoni , E. Kogan , M. Kaveh

We consider magnetotransport in a disordered two-dimensional electron gas in the presence of a periodic modulation in one direction. Existing quasiclassical and quantum approaches to this problem account for Weiss oscillations in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Schwiete , D. Taras-Semchuk , K. B. Efetov

At low temperatures, quantum corrections, originating from the interference of the many paths an electron may take between two points, tend to dominate the transport properties of two-dimensional conductors. These quantum corrections…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Frederico Sousa , David T. S. Perkins , Aires Ferreira

We discuss the difficulties to discover Kondo effect in the resistivity of graphene. Similarly to the Kondo effect, electron-electron interaction effects and weak localization appear as logarithmic corrections to the resistance. In order to…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Johannes Jobst , Ferdinand Kisslinger , Heiko B. Weber

Quantum coherent effects can be probed in multilayer graphene through electronic transport measurements at low temperatures. In particular, bilayer graphene is known to be susceptible to quantum interference corrections of the conductivity,…

Gradual localization of charge carriers was studied in a series of micro-size samples of monolayer graphene fabricated on the common large scale film and irradiated by different doses of C$^+$ ions with energy 35 keV. Measurements of the…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 E. Zion , A. Haran , A. V. Butenko , L. Wolfson , Yu. Kaganovskii , T. Havdala , A. Sharoni , D. Naveh , V. Richter , M. Kaveh , E. Kogan , I. Shlimak