505 citations · 4.5k across the 30 of their papers we have counts for
33 papers · 1 filter
Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
Andrei Shytov, Mark Rudner, Nan Gu +2
Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss ato…
Long-Range Interaction Between Adatoms in Graphene
Andrei Shytov, Dmitry Abanin, Leonid Levitov
We present a theory of electron-mediated interaction between adatoms in graphene. In the case of resonant scattering, relevant for hydrogentated graphene, a long-range 1/r interact…
Quantum Hall conductance of two-terminal graphene devices
J. R. Williams, D. A. Abanin, L. DiCarlo +2
Measurement and theory of the two-terminal conductance of monolayer and bilayer graphene in the quantum Hall regime are compared. We examine features of conductance as a function o…
Klein Backscattering and Fabry-Perot Interference in Graphene Heterojunctions
A. V. Shytov, M. S. Rudner, L. S. Levitov
We present a theory of quantum-coherent transport through a lateral p-n-p structure in graphene, which fully accounts for the interference of forward and backward scattering on the…
Topological Transition in a Non-Hermitian Quantum Walk
M. S. Rudner, L. S. Levitov
We analyze a quantum walk on a bipartite one-dimensional lattice, in which the particle can decay whenever it visits one of the two sublattices. The corresponding non-Hermitian tig…
Conformal Invariance and Shape-Dependent Conductance of Graphene Samples
Dmitry A. Abanin, Leonid S. Levitov
For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a c…