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In recent years, there is an increasing interest in transport phenomena that are fundamentally linked to the presence of multiple bands. In this thesis, we develop, discuss, and apply a theory of the electrical conductivity that includes…

Strongly Correlated Electrons · Physics 2021-05-19 Johannes Mitscherling

For many of the envisioned optoelectronic applications of graphene it is crucial to understand the sub-picosecond carrier dynamics immediately following photoexcitation, as well as the effect on the electrical conductivity - the…

Using the semiclassical quantum Boltzmann equation (QBE), we numerically calculate the DC transport properties of bilayer graphene near charge neutrality. We find, in contrast to prior discussions, that phonon scattering is crucial even at…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Glenn Wagner , Dung X. Nguyen , Steven H. Simon

By using the real-space Green-Kubo formalism we study numerically the electron transport properties of low-fluorinated graphene. At low temperatures the diffuse transport regime is expected to be prevalent, and we found a pronounced…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 D. V. Kolesnikov , V. A. Osipov

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Hongki Min , Parakh Jain , S. Adam , M. D. Stiles

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

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

We report on a capacitance study of dual gated bilayer graphene. The measured capacitance allows us to probe the electronic compressibility as a function of carrier density, temperature, and applied perpendicular electrical displacement D.…

Mesoscale and Nanoscale Physics · Physics 2013-09-17 A. F. Young , C. R. Dean , I. Meric , S. Sorgenfrei , H. Ren , K. Watanabe , T. Taniguchi , J. Hone , K. L. Shepard , P. Kim

The edges of graphene-based systems possess unusual electronic properties, originating from the non-trivial topological structure associated to the pseudo-spinorial character of the electron wave-functions. These properties, which have no…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Jian Li , Ivar Martin , Markus Buttiker , Alberto F. Morpurgo

Hall conductance $\sigma_{xy}$ as the Chern numbers of the Berry connection in the magnetic Brillouin zone is calculated for a realistic multi band tight-band model of graphene with non-orthogonal basis. It is confirmed that the envelope of…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 M. Arai , Y. Hatsugai

Flat bands play an important role in the study of strongly correlated phenomena, such as ferromagnetism, superconductivity, and fractional quantum Hall effect. Here we report direct experimental evidence for the presence of flat bands,…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 Lei Feng , Xianqing Lin , Lan Meng , Jia-Cai Nie , Jun Ni , Lin He

We report a change of three orders of magnitudes in the resistance of a suspended bilayer graphene flake which varies from a few k$\Omega$s in the high carrier density regime to several M$\Omega$s around the charge neutrality point (CNP).…

Mesoscale and Nanoscale Physics · Physics 2012-04-24 A. Veligura , H. J. van Elferen , N. Tombros , J. C. Maan , U. Zeitler , B. J. van Wees

Many quantum materials of interest, ex., bilayer graphene, possess a number of closely spaced but not fully degenerate bands near the Fermi level, where the coupling to the far detuned remote bands can induce Berry curvatures of the…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Ci Li , Matisse Wei-Yuan Tu , Wang Yao

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

The DC conductivity of monolayer and bilayer graphene is studied perturbatively for different types of disorder. In the case of monolayer, an exact cancellation of logarithmic divergences occurs for all disorder types. The total…

Disordered Systems and Neural Networks · Physics 2011-12-05 Andreas Sinner , Klaus Ziegler

The band structure and transport properties of massive Dirac Fermions in bilayer graphene with velocity modulation in space are investigated in presence of the previously created band gap. It is pointed out that the velocity engineering is…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Hosein Cheraghchi , Fatemeh Adinehvand

We argue that all anomalous transport properties of coherent quantum quantum Hall bilayers can be understood in terms of a mean-field transport theory in which the condensate phase is nearly uniform across the sample, and the strength of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 I. Sodemann , H. Chen , A. H. MacDonald

We demonstrate that for gapped bilayer graphene, the nonlinear nature of the screening of an external disorder potential and the resulting inhomogeneity of the electron liquid are crucial for describing the electronic compressibility. In…

Mesoscale and Nanoscale Physics · Physics 2012-11-06 D. S. L. Abergel , E. Rossi , S. Das Sarma

We introduce a quasi-relativistic theory of quantum transport in graphene monolayer. It is based on the Dirac -- Hartry -- Fock self-consistent field approximation, assumption on lattice anti-ferromagnetic ordering and an approach…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 Halina V. Grushevskaya , George Krylov

Graphene has evolved as a platform for quantum transport that can compete with the best and cleanest semiconductor systems. Recently, many interesting local properties of carrier transport in graphene have been investigated by various…