This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Dirac points are central to many phenomena in condensed-matter physics, from massless
electrons in graphene to the emergence of conducting edge states in topological insulators …

The observation of massless Dirac fermions in monolayer graphene has generated a new
area of science and technology seeking to harness charge carriers that behave …

Inspired by the great development of graphene, more and more research has been
conducted to seek new two-dimensional (2D) materials with Dirac cones. Although 2D Dirac …

Topological stability of the edge states is investigated for non-Hermitian systems. We
examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in …

The geometric structure of a single-particle energy band in a solid is fundamental for a wide
range of many-body phenomena and is uniquely characterized by the distribution of Berry …

We present a general strategy to simulate a D+ 1-dimensional quantum system using a D-
dimensional one. We analyze in detail a feasible implementation of our scheme using …

Abstract 2D materials and heterostructures have attracted significant attention for a variety of
nanoelectronic and optoelectronic applications. At the atomically thin limit, the material …