Topological materials discovery from crystal symmetry

BJ Wieder, B Bradlyn, J Cano, Z Wang… - Nature Reviews …, 2022 - nature.com
… of solid-state topological phases, including charge-density-… address experimentally observable
signatures of topological … incorporate sources of deviation from the perfect-crystal limit, …

[PDF][PDF] Crystal symmetries in charge-orbital order and topological band theory

AC Oliveira Silva - 2019 - pure.uva.nl
… be able to analyse the origin of polonium’s crystal structure. Polonium is … We argue that this
corresponds to the experimentally … This was highlighted here by the comparison between the …

Topological classification of crystalline insulators through band structure combinatorics

J Kruthoff, J De Boer, J Van Wezel, CL Kane, RJ Slager - Physical Review X, 2017 - APS
… The topological origin of these Weyl phases ensures the … D-brane charges in these types of
superstring theories. Besides … The only difference between the treatments of symmorphic and …

Fractional corner charges in spin-orbit coupled crystals

F Schindler, M Brzezińska, WA Benalcazar… - Physical Review …, 2019 - APS
… corner charge formulas in terms of the elementary topological … our discussion to the
experimentally relevant case of 2D … We differentiate between three kinds of nested Wilson loops …

Bulk–disclination correspondence in topological crystalline insulators

Y Liu, S Leung, FF Li, ZK Lin, X Tao, Y Poo, JH Jiang - Nature, 2021 - nature.com
… The crystalline topology and the bulk charge pattern can be … The difference between the
disclination and bulk LDOS is … By tuning the phase difference and the frequency of the sources, …

[HTML][HTML] Transport in two-dimensional topological materials: recent developments in experiment and theory

D Culcer, AC Keser, Y Li, G Tkachov - 2D Materials, 2020 - iopscience.iop.org
… review theoretical and experimental highlights in transport in two-dimensional topological
the general issue of topological protection;(ii) state-of-the-art experiments on transition metal …

Quantization of fractional corner charge in -symmetric higher-order topological crystalline insulators

WA Benalcazar, T Li, TL Hughes - Physical Review B, 2019 - APS
… the immediate realization of our predictions in experiments. … theory to show that higher-order
TCIs bind fractional charge at … the corner charge and the background bulk charge scale as O…

Experimental observation of non-Abelian topological charges and edge states

Q Guo, T Jiang, RY Zhang, L Zhang, ZQ Zhang, B Yang… - Nature, 2021 - nature.com
Topological band theory describes the global topological … 2π about an axis through the origin
with an arbitrary orientation. … it as 2π to make the distinction between it and the trivial class +…

Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

WA Benalcazar, BA Bernevig, TL Hughes - Physical Review B, 2017 - APS
… the theory of charge polarization in crystalline insulators by … In this section, we draw an
important distinction between … its origin is at the center of charge of the atomic nuclei, ie, at …

Topological crystalline materials: General formulation, module structure, and wallpaper groups

K Shiozaki, M Sato, K Gomi - Physical Review B, 2017 - APS
… symmetries of time reversal and charge conjugation [42–44]. … For spinful fermions, there
exists a different source of the U(1) … without changing topological difference between E1 and E2. …