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Klein tunneling in graphene: optics with massless electrons
Abstract This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple…
Spin waves in a one-dimensional spinor bose gas.
A one-dimensional (iso)spin 1/2 Bose gas with repulsive delta-function interaction by the Bethe Ansatz method is studied and the excitations above the polarized ground state are discussed.
Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index
Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient…
A universal Hamiltonian for motion and merging of Dirac points in a two-dimensional crystal
AbstractWe propose a simple Hamiltonian to describe the motion and the merging of Dirac points in the electronic spectrum of two-dimensional electrons. This merging is a topological transition which…
From dia- to paramagnetic orbital susceptibility of massless fermions.
It is shown that this striking behavior of orbital susceptibility of multiband systems with a pair of Dirac points interpolating between honeycomb and dice lattices is related to a topological Berry phase varying continuously from π (graphene) to 0 (dice).
Bloch-Zener oscillations across a merging transition of Dirac points.
The agreement with a recent experiment on cold atoms in an optical lattice is very good and the tunneling probability is computed from the low-energy universal Hamiltonian describing the vicinity of the merging.
Casimir forces between defects in one-dimensional quantum liquids (13 pages)
We discuss the effective interactions between two localized perturbations in one-dimensional quantum liquids. For noninteracting fermions, the interactions exhibit Friedel oscillations, giving rise…
Tilted anisotropic Dirac cones in quinoid-type graphene and α-(BEDT-TTF) 2 I 3
We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound…
Introduction to the Physical Properties of Graphene
Dirac fermions in graphene and analogues: magnetic field and topological properties
- J. Fuchs
- 3 June 2013
This is a short review of two-dimensional Dirac fermions in graphene and similar systems such as boron nitride, quasi-2D organic salts $\alpha$-(BEDT-TTF)$_2$I$_3$, artificial graphene with cold…