Conformal mapping and shot noise in graphene

  title={Conformal mapping and shot noise in graphene},
  author={Adam Rycerz and Patrik Recher and Michael Wimmer},
  journal={Physical Review B},
Ballistic transport through a collection of quantum billiards in undoped graphene is studied analytically within the conformal mapping technique. The billiards show pseudodiffusive behavior, with the conductance equal to that of a classical conductor characterized by the conductivity ${\ensuremath{\sigma}}_{0}=4{e}^{2}/\ensuremath{\pi}h$ and the Fano factor $F=1/3$. By shrinking at least one of the billiard openings, we observe a tunneling behavior, where the conductance shows a power-law decay… 
Conditions for Conductance Quantization in Mesoscopic Dirac Systems on the Examples of Graphene Nanoconstrictions
Ballistic transport through an impurity-free section of the Corbino disk in graphene is investigated by means of the Landauer-B\"{u}ttiker formalism in the mesoscopic limit. In the linear-responce
Quantum transport and non-unitary gauge invariance in graphene-based electronic systems
Quantum transport is studied in electronic two-terminal devices with monoand few-layer graphene samples described by the low-energy effective theories. Using the scattering approach, the full
Weak antilocalization of composite fermions in graphene
Composite fermions in fractional quantum Hall (FQH) systems are believed to form a Fermi sea of weakly interacting particles at half filling $\nu=1/2$. Recently, it was proposed (D. T. Son, Phys.
Magnetoconductance of the Corbino disk in graphene: chiral tunneling and quantum interference in the bilayer case.
  • G. Rut, A. Rycerz
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2014
Quantum transport through an impurity-free Corbino disk in bilayer graphene is investigated analytically, using the mode-matching method to give an effective Dirac equation, in the presence of
Nonstandard Transition GUE‐GOE for Random Matrices and Spectral Statistics of Graphene Nanoflakes
Spectral statistics of weakly-disordered triangular graphene flakes with zigzag edges are revisited. Earlier, we have found numerically that such systems may shown spectral fluctuations of GUE,
Unconventional fractional quantum Hall states and Wigner crystallization in suspended Corbino graphene
The authors report unconventional fractional quantum Hall phases in graphene Corbino devices originating from residual interactions of composite fermions in partially filled higher Landau levels and demonstrate the exceptional strength of the Coulomb interactions in suspended graphene by reaching the field-induced Wigner crystal state.
Random matrices and quantum chaos in weakly disordered graphene nanoflakes
Statistical distribution of energy levels for Dirac fermions confined in a quantum dot is studied numerically on the examples of triangular and hexagonal graphene flakes with random electrostatic
Quantized conductance with nonzero shot noise as a signature of Andreev edge state
Electrical conductance measurements have limited scope in identifying Andreev edge states (AESs), which form the basis for realizing various topological excitations in quantum Hall (QH)
The Physics of Graphene
Leading graphene research theorist Mikhail I. Katsnelson systematically presents the basic concepts of graphene physics in this fully revised second edition. The author illustrates and explains basic


Introduction to mesoscopic physics
Preface Preface to the second edition List of symbols 1. Introduction and a brief review of experimental systems 2. Quantum transport, Anderson Localization 3. Dephasing by coupling with the
Static and Dynamic Electricity
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