Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

P Törmä, S Peotta, BA Bernevig - Nature Reviews Physics, 2022 - nature.com
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

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 Axion States in the Magnetic Insulator with the Quantized Magnetoelectric Effect

D Zhang, M Shi, T Zhu, D **, and chiral hinge states in crystalline insulators
WA Benalcazar, BA Bernevig, TL Hughes - Physical Review B, 2017 - APS
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 …

WannierTools: An open-source software package for novel topological materials

QS Wu, SN Zhang, HF Song, M Troyer… - Computer Physics …, 2018 - Elsevier
We present an open-source software package WannierTools, a tool for investigation of novel
topological materials. This code works in the tight-binding framework, which can be …

Quantized electric multipole insulators

WA Benalcazar, BA Bernevig, TL Hughes - Science, 2017 - science.org
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 …