Universal Landauer conductance in chiral symmetric 2d systems

Abstract

We study transport properties of an arbitrarily shaped ultraclean graphene sheet, adiabatically connected to leads,composed by the same material. If the localized interactions do not destroy chiral symmetry, we show that the conductance is quantized, since it is dominated by the quasi one-dimensional leads. As an example, we show that smooth structural deformations of the graphene plane do not modify the conductance quantization.

6 pages, no figures

References in corpus (23)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Quantum-limited shot noise in graphene
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Quantum transport of massless Dirac fermions in graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Landauer Conductance of Luttinger Liquids with Leads
• First direct observation of Dirac fermions in graphite
• Conductance quantization in mesoscopic graphene
• Graphene as an electronic membrane
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Electronic Properties of Two-Dimensional Carbon
• Topological and Universal Aspects of Bosonized Interacting Fermionic Systems in (2+1)d
• Universal Transverse Conductance between Quantum Hall Regions and (2+1)D Bosonization
• Transport in finite incommensurate Peierls-Fröhlich systems
• Non local parity transformations and anomalies
• The point-splitting regularization of (2+1)d parity breaking models
• Domain walls and dimensional reduction
• Effective action for $QE{D}_3$ in a region with borders