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 …

Topological superconductors: a review

M Sato, Y Ando - Reports on Progress in Physics, 2017 - iopscience.iop.org
This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Classification of reflection-symmetry-protected topological semimetals and nodal superconductors

CK Chiu, AP Schnyder - Physical Review B, 2014 - APS
While the topological classification of insulators, semimetals, and superconductors in terms
of nonspatial symmetries is well understood, less is known about topological states …

Symmetry and topology in superconductors–odd-frequency pairing and edge states–

Y Tanaka, M Sato, N Nagaosa - Journal of the Physical Society of …, 2011 - journals.jps.jp
Superconductivity is a phenomenon where the macroscopic quantum coherence appears
due to the pairing of electrons. This offers a fascinating arena to study the physics of …

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides

RM Fernandes, AV Chubukov, J Knolle, I Eremin… - Physical Review B …, 2012 - APS
Starting from a microscopic itinerant model, we derive and analyze the effective low-energy
model for collective magnetic excitations in the iron pnictides. We show that the stripe …

Dirac and Weyl superconductors in three dimensions

SA Yang, H Pan, F Zhang - Physical review letters, 2014 - APS
We introduce the concept of three-dimensional Dirac (Weyl) superconductors (SC), which
have protected bulk fourfold (twofold) nodal points and surface Majorana arcs at zero …

Flat bands in topological media

TT Heikkilä, NB Kopnin, GE Volovik - JETP letters, 2011 - Springer
Topological media are systems whose properties are protected by topology and thus are
robust to deformations of the system. In topological insulators and superconductors the bulk …

Protected boundary states in gapless topological phases

S Matsuura, PY Chang, AP Schnyder… - New Journal of …, 2013 - iopscience.iop.org
We systematically study gapless topological phases of (semi-) metals and nodal
superconductors described by Bloch and Bogoliubov–de Gennes Hamiltonians. Using K …

Topological surface states in nodal superconductors

AP Schnyder, PMR Brydon - Journal of Physics: Condensed …, 2015 - iopscience.iop.org
Topological superconductors have become a subject of intense research due to their
potential use for technical applications in device fabrication and quantum information …

Beyond triplet: Unconventional superconductivity in a spin-3/2 topological semimetal

H Kim, K Wang, Y Nakajima, R Hu, S Ziemak… - Science …, 2018 - science.org
In all known fermionic superfluids, Cooper pairs are composed of spin-1/2 quasi-particles
that pair to form either spin-singlet or spin-triplet bound states. The “spin” of a Bloch electron …