Topological Phases & Anyons
Topological insulators and semimetals, fractional Chern insulators, the fractional quantum anomalous Hall effect in moire materials and non-Abelian anyons.
Most influential
- Colloquium : Topological insulators
Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a close cousin of the integer quantum Hall state. A 3D topological insulator supports novel spin polarized 2D Dirac fermion…
Article19,951 citationsarXiv:1002.3895doi:10.1103/revmodphys.82.3045 - Topological insulators and superconductors
Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time-reversal symmetry. These topological materials have been theoretically predicted and experime…
Article14,414 citationsarXiv:1008.2026doi:10.1103/revmodphys.83.1057 - Topological domains in mammalian genomes identified by analysis of chromatin interactionsArticle6,829 citationsdoi:10.1038/nature11082
- Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond GrapheneReview4,888 citationsdoi:10.1021/nn400280c
- Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
In 5d transition metal oxides such as the iridates, novel properties arise from the interplay of electron correlations and spin-orbit interactions. We investigate the electronic structure of the pyrochlore iridates, (such as Y$_{2}$Ir$_{2}$O$_{7}$) using density functional theory, LDA+U method, and effective low energy models. A remarkably rich phase diagram…
Article4,724 citationsarXiv:1007.0016doi:10.1103/physrevb.83.205101 - Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH) effect in thin films of Cr-doped (Bi,Sb)2Te3, a magnetic topological insulator. At zero magnetic field, the gate-tuned ano…
Article3,891 citationsarXiv:1605.08829doi:10.1126/science.1234414 - Topological photonics
Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without dissipation even in the presence of impurities. Similarly, new optical mirrors of different wave-vector space topologie…
Article3,655 citationsarXiv:1408.6730doi:10.1038/nphoton.2014.248 - Photonic Floquet topological insulators
The topological insulator is a fundamentally new phase of matter, with the striking property that the conduction of electrons occurs only on its surface, not within the bulk, and that conduction is topologically protected. Topological protection, the total lack of scattering of electron waves by disorder, is perhaps the most fascinating and technologically i…
Article3,330 citationsarXiv:1212.3146doi:10.1038/nature12066 - The birth of topological insulatorsArticle3,232 citationsdoi:10.1038/nature08916
- WannierTools: An open-source software package for novel topological materials
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 generated by another software package Wannier90. It can help to classify the topological phase of given materials by calculating the Wilson loop and can get the surface state spectrum w…
Article2,737 citationsarXiv:1703.07789doi:10.1016/j.cpc.2017.09.033 - Weyl Semimetal in a Topological Insulator Multilayer
We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase, utilizing a multilayer structure, composed of identical thin films of a magnetically-doped 3D topological insulator (TI), separated by ordinary-insulator spacer layers. We show that the phase diagram of this system contains a Weyl semimetal phase of the simplest possible kind…
Article2,291 citationsarXiv:1105.5138doi:10.1103/physrevlett.107.127205 - Type-II Weyl semimetals
Fermions in nature come in several types: Dirac, Majorana and Weyl are theoretically thought to form a complete list. Even though Majorana and Weyl fermions have for decades remained experimentally elusive, condensed matter has recently emerged as fertile ground for their discovery as low energy excitations of realistic materials. Here we show the existence …
Article2,526 citationsarXiv:1507.01603doi:10.1038/nature15768 - Discovery of a Three-Dimensional Topological Dirac Semimetal, Na 3 Bi
Three-dimensional (3D) topological Dirac semimetals (TDSs) represent a novel state of quantum matter that can be viewed as '3D graphene'. In contrast to two-dimensional (2D) Dirac fermions in graphene or on the surface of 3D topological insulators, TDSs possess 3D Dirac fermions in the bulk. The TDS is also an important boundary state mediating numerous nove…
Article2,334 citationsarXiv:1310.0391doi:10.1126/science.1245085 - Topological insulators and superconductors: tenfold way and dimensional hierarchy
It has recently been shown that in every spatial dimension there exist precisely five distinct classes of topological insulators or superconductors. Within a given class, the different topological sectors can be distinguished, depending on the case, by a Z or a Z_2 topological invariant. This is an exhaustive classification. Here we construct representatives…
Article2,325 citationsarXiv:0912.2157doi:10.1088/1367-2630/12/6/065010 - Quantized Anomalous Hall Effect in Magnetic Topological Insulators
The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin Hall effect have been discovered in recent years. However, the quantized anomalous Hall (QAH) effect has not yet been re…
Article2,273 citationsarXiv:1002.0946doi:10.1126/science.1187485
Newest work
- Magnetotransport experiments on side-contacted topological insulator three-terminal Josephson junctionsPreprintarXiv:2610.40083
- Three-dimensional QCA that are not stably circuitsPreprintarXiv:2610.40235
- Transport in spinful non-Hermitian gauge latticesPreprintarXiv:2610.40317
- Chiral $p$-Wave Superconductivity Proximate to a Fractional Chern Insulator and a Topological Charge Density Wave in a Moiré Chern BandPreprintarXiv:2610.40469
- Toric codes all the way down: decoupling translation-invariant topological CSS codes in higher dimensionsPreprintarXiv:2610.40592
- Algebraic theory of abelian fractons and beyondPreprintarXiv:2610.40596
- Variational wavefunctions for ideal anyon gas: superfluid and skyrmion Hall crystalPreprintarXiv:2610.40657
- Time evolution in the multi-component dynamical Keldysh modelsPreprintarXiv:2610.38338
- Exploring Fractional Quantum Hall States with Deep Learning: From Abelian to Non-Abelian PhasesPreprintarXiv:2610.38533
- Gravitational anomaly spectroscopy of a Kitaev spin liquidPreprintarXiv:2610.38704