Progress and prospects in magnetic topological materials
Magnetic topological materials represent a class of compounds with properties that are
strongly influenced by the topology of their electronic wavefunctions coupled with the …
strongly influenced by the topology of their electronic wavefunctions coupled with the …
Colloquium: Quantum anomalous Hall effect
The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …
Topological spintronics and magnetoelectronics
Topological electronic materials, such as topological insulators, are distinct from trivial
materials in the topology of their electronic band structures that lead to robust …
materials in the topology of their electronic band structures that lead to robust …
High-throughput calculations of magnetic topological materials
The discoveries of intrinsically magnetic topological materials, including semimetals with a
large anomalous Hall effect and axion insulators,–, have directed fundamental research in …
large anomalous Hall effect and axion insulators,–, have directed fundamental research in …
Quantization of fractional corner charge in -symmetric higher-order topological crystalline insulators
In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …
anomaly: a mismatch between the number of electrons in an energy band and the number of …
Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators
We extend the theory of dipole moments in crystalline insulators to higher multipole
moments. As first formulated in Benalcazar et al.[Science 357, 61 (2017) SCIEAS 0036-8075 …
moments. As first formulated in Benalcazar et al.[Science 357, 61 (2017) SCIEAS 0036-8075 …
Weyl and Dirac semimetals in three-dimensional solids
NP Armitage, EJ Mele, A Vishwanath - Reviews of Modern Physics, 2018 - APS
Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …
excitations that are protected by topology and symmetry. As three-dimensional analogs of …
Quantized electric multipole insulators
The Berry phase provides a modern formulation of electric polarization in crystals. We
extend this concept to higher electric multipole moments and determine the necessary …
extend this concept to higher electric multipole moments and determine the necessary …
[HTML][HTML] Axion electrodynamics in topological materials
One of the intriguing properties characteristic to three-dimensional topological materials is
the topological magnetoelectric phenomena arising from a topological term called the θ …
the topological magnetoelectric phenomena arising from a topological term called the θ …
[HTML][HTML] Symmetry-based indicators of band topology in the 230 space groups
The interplay between symmetry and topology leads to a rich variety of electronic topological
phases, protecting states such as the topological insulators and Dirac semimetals. Previous …
phases, protecting states such as the topological insulators and Dirac semimetals. Previous …