Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

The rise of graphene

AK Geim, KS Novoselov - Nature materials, 2007 - nature.com
Graphene is a rapidly rising star on the horizon of materials science and condensed-matter
physics. This strictly two-dimensional material exhibits exceptionally high crystal and …

The electronic properties of graphene

AH Castro Neto, F Guinea, NMR Peres… - Reviews of modern …, 2009 - APS
This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of
carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons …

Electronic transport in two-dimensional graphene

S Das Sarma, S Adam, EH Hwang, E Rossi - Reviews of modern physics, 2011 - APS
A broad review of fundamental electronic properties of two-dimensional graphene with the
emphasis on density and temperature-dependent carrier transport in doped or gated …

Weyl semimetal in a topological insulator multilayer

AA Burkov, L Balents - Physical review letters, 2011 - APS
We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase,
utilizing a multilayer structure, composed of identical thin films of a magnetically doped 3D …

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect

N Read, D Green - Physical Review B, 2000 - APS
We analyze pairing of fermions in two dimensions for fully gapped cases with broken parity
(P) and time reversal (T), especially cases in which the gap function is an orbital angular …

Classification of topological insulators and superconductors in three spatial dimensions

AP Schnyder, S Ryu, A Furusaki, AWW Ludwig - Physical Review B …, 2008 - APS
We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

[HTML][HTML] Graphene: carbon in two dimensions

MI Katsnelson - Materials today, 2007 - Elsevier
Carbon is one of the most intriguing elements in the Periodic Table. It forms many allotropes,
some known from ancient times (diamond and graphite) and some discovered 10-20 years …

Topological nodal semimetals

AA Burkov, MD Hook, L Balents - Physical Review B—Condensed Matter and …, 2011 - APS
We present a study of “nodal-semimetal” phases in which nondegenerate conduction and
valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in …

Anderson transitions

F Evers, AD Mirlin - Reviews of Modern Physics, 2008 - APS
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …