The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong
perpendicular magnetic field are reviewed. One of its most salient features is the relativistic …

Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-
energy excitations. When Zeeman and spin-orbit interactions are neglected, its Landau …

We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

It is argued that an ultracold quantum degenerate gas of ytterbium 173 Yb atoms having
nuclear spin I= 5/2 exhibits an enlarged SU (6) symmetry. Within the Landau Fermi liquid …

Starting from the graphene lattice tight-binding Hamiltonian with an on-site U and long-
range Coulomb repulsion, we derive an interacting continuum Dirac theory governing the …

The ν= 0 quantum Hall state in a defect-free graphene sample is studied within the
framework of quantum Hall ferromagnetism. We perform a systematic analysis of the …

Graphene exhibits quantum Hall ferromagnetism in which an approximate SU (4) symmetry
involving spin and valley degrees of freedom is spontaneously broken. We construct a set of …

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU (N)-
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …

Graphene in the quantum Hall regime exhibits a multicomponent structure due to the
electronic spin and chirality degrees of freedom. While the applied field breaks the spin …