Weyl, Dirac and high-fold chiral fermions in topological quantum matter

MZ Hasan, G Chang, I Belopolski, G Bian… - Nature Reviews …, 2021 - nature.com
Quantum materials hosting Weyl fermions have opened a new era of research in condensed
matter physics. First proposed in 1929 in the context of particle physics, Weyl fermions have …

Majorana fermions and topology in superconductors

M Sato, S Fujimoto - Journal of the Physical Society of Japan, 2016 - journals.jps.jp
Topological superconductors are novel classes of quantum condensed phases,
characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces …

Time-reversal symmetry broken by charge order in

R Khasanov, D Das, R Gupta, C Mielke III… - Physical Review …, 2022 - APS
The recently discovered vanadium-based kagome metals AV 3 Sb 5 (A= K, Rb, Cs) exhibit
superconductivity at low temperatures and charge density wave (CDW) order at high …

Chiral superconductors

C Kallin, J Berlinsky - Reports on Progress in Physics, 2016 - iopscience.iop.org
Chiral superconductivity is a striking quantum phenomenon in which an unconventional
superconductor spontaneously develops an angular momentum and lowers its free energy …

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 …

Random-matrix theory of Majorana fermions and topological superconductors

CWJ Beenakker - Reviews of Modern Physics, 2015 - APS
The theory of random matrices originated half a century ago as a universal description of the
spectral statistics of atoms and nuclei, dependent only on the presence or absence of …

Superconductivity and local inversion-symmetry breaking

MH Fischer, M Sigrist, DF Agterberg… - Annual Review of …, 2023 - annualreviews.org
Inversion and time reversal are essential symmetries for the structure of Cooper pairs in
superconductors. The loss of one or both leads to modifications to this structure and can …

Unconventional charge order and superconductivity in kagome-lattice systems as seen by muon-spin rotation

Z Guguchia, R Khasanov, H Luetkens - npj Quantum Materials, 2023 - nature.com
Kagome lattices are intriguing and rich platforms for studying the intertwining of topology,
electron correlation, and magnetism. These materials have been subject to tremendous …

Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry

DF Agterberg, PMR Brydon, C Timm - Physical review letters, 2017 - APS
It is commonly believed that, in the absence of disorder or an external magnetic field, there
are three possible types of superconducting excitation gaps: The gap is nodeless, it has …

Chiral d-wave superconductivity in doped graphene

AM Black-Schaffer, C Honerkamp - Journal of Physics …, 2014 - iopscience.iop.org
A highly unconventional superconducting state with a spin-singlet $ d_ {x^ 2-y^ 2}\pm {\rm i}
d_ {xy} $-wave, or chiral d-wave symmetry has recently been suggested to emerge from …