KITP Program: Topological Insulators and Superconductors (Sep 19 - Dec 16, 2011) Coordinators: Charles Kane, Andreas Ludwig, Joel Moore, Xiaoliang Qi Scientific Advisor: Zahid Hasan Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. Their existence could explain the missing dark matter of the universe. Topological insulators (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap [1–4]. We generalize the topological response theory of three-dimensional topological insulators (TI) to metallic systems -- specifically, doped TI with finite bulk carrier density and a time-reversal symmetry breaking field near the surface. Xiao-Liang Qi and Shou-Cheng Zhang In topological insulators, spin–orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties. Xiaoliang Qi. Edited by David Carpentier, Jérôme Cayssol. Link; Xiangzhuo Wang and Zequn Chen and Jingchuan Zheng and Yongkai Li and Xianglin Peng and Xuqiang Zhang and Hongxing Yin and Xiaolu Xiong and Junxi Duan and Xiang Li and Zhiwei Wang and Zhuo Chen and Junfeng Han* and Wende Xiao* and Yugui Yao. Type-II topological metals. Lauren Tompkins "Testing DAMA's long-standing claim for dark matter detection" Topological insulators in Bi 2 Se 3, Bi 2 Te 3 and Sb 2 Te 3 with a single Dirac cone on the surface H Zhang, CX Liu, XL Qi, X Dai, Z Fang, SC Zhang Nature physics 5 (6), 438-442 , 2009 Topological insulators (TIs) are new states of matter based on the topology in the electronic band structure. Frontiers of Physics 15, 43201 (2020). Xiaoliang Qi "Strongly Interacting Synthetic Topological Insulators in High Dimensions" 05/28/2019: Irfan Siddiqi: UC Berkeley: Amir Safavi-Naeini "The Dawn of Superconducting Quantum Processors" 06/04/2019: Reina Maruyama: Yale Univ. analogy with topological insulators (Volovik, Read, Green, Roy, Schnyder, Ryu, Furusaki, Ludwig, Kitaev, Qi, Hughes, Raghu, Zhang, …) Theory of topological SF/SC Bloch Hamiltonian BdG Hamiltonian Topological Insulator (TI) Topological Superfluid/Superconductor ... Xiaoliang Qi … As stated by the Bloch theorem, eigenstates of the single-electron Schrödinger equation with a perfectly periodic potential, a crystal, are Bloch waves\begin{equation}H|\p… We propose a com-bined magnetooptical Kerr and Faraday rotation experiment as a universal measure of the Z2 invariant. Qi, Hughes, Zhang (2008) formula for topological magnetoelectric coupling θ = 0 : trivial insulator (T - invariant) θ = π : topological insulator (T - invariant) θ ≠ 0,π : magnetic insulator (T breaking) Class A (no symmetries), d=3, D=1 : ! Colloborators Stanford group: Xiaoliang Qi, Andrei Bernevig, Congjun Wu, Chaoxing Liu, Taylor Hughes, Sri Raghu, Suk-bum Chung Stanford experimentalists: Yulin Chen, Ian Fisher, ZX Shen, Yi Cui, Aharon However, despite intensive searches, they have yet to be detected. • Topological Kondo insulators (Coleman et al) MLA. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Proximity effects between topological insulators and insulating ferromagnets. In this talk, I will describe a new aspect of topologically ordered states---the twist defects. About Xiaoliang Qi's Work My research group’s recent works focus on the role of quantum entanglement in quantum many-body physics and quantum gravity. B 78, 195424 – Published 24 November 2008; Erratum Phys. Volume 14, Issues 9–10, Pages 757-894 (November–December 2013) ... Pavan Hosur, Xiaoliang Qi. A topological insulator, like an ordinary insulator, has a bulk energy gap separating the highest occupied electronic band from the lowest empty band. Si Li* and Zhi-Ming Yu and Yugui Yao and Shengyuan A. Yang. Pages 857-870 Download PDF. We have also worked on topological states of matter. Yang, Qi, Aharon Kapitulnik, Ian R. Fisher, and Xiaoliang Qi. The surface (or edge in two dimensions) of a topological insulator, however, necessarily has gapless electronic states, that are reminiscent of edge states in the quantum Hall effect. They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time-reversal symmetry. A topological insulator is a material that behaves as an insulator in its interior but whose surface contains conducting states, meaning that electrons can only move along the surface of the material. Rev. B 81, 159901 (2010) See Viewpoint: High-energy physics in a new guise An article within the collection: Physical Review B 50 th Anniversary Milestones Rev. Article preview. Topological insulators / Isolants topologiques. Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds Stanislav Chadov 1 Xiaoliang Qi 2 , 4 Jürgen Kübler 3 Gerhard H. Fecher topological insulator and/or magnetic topological insulator structures. • Interplay between spin-orbit coupling and Mott physics in 5d transition metal Ir oxides, Nagaosa, SCZ et al PRL 2009, Balents et al, Franz et al. In this work, we show that magnetic fluctuations of topological insulators couple to the electromagnetic fields exactly like the axions, and propose several experiments to detect this dynamical axion field. Xiaoliang Qi. Topological field theory of time-reversal invariant insulators Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang Phys. Topological Mott insulators • Dynamic generation of spin-orbit coupling can give rise to TMI (Raghu et al, PRL 2008). Recent discovery of topological insulators and topological superconductors in different symmetry classes bring the opportunity to study a large family of new topological phenomena. Title: Topological field theory of topological insulators and 1 Topological field theory of topological insulators and superconductors FradkinFest 2010Shoucheng Zhang, Stanford University 2 Colloborators Stanford group Xiaoliang Qi, Andrei Bernevig, Congjun Wu, Chaoxing Liu, Taylor Hughes, Sri Raghu, Suk-bum ChungStanford experimentalists The last two chapters are devoted to 3D topological insulators. Internet resource. Xiaoliang Qi Stanford University Topologically ordered states are quantum states of matter with various exotic properties such as topological ground state degeneracy, and quasiparticles with fractional quantum numbers and fractional statistics. The band theory of solid describes the electronic structure of such states, which exploits the 'discrete' translational symmetryof the crystal to classify electronic states in terms of their crystal momentum \mathbf{k}, defined in a periodic Brillouin zone. 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