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… They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time-reversal symmetry. 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 : ! 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. In this talk, I will describe a new aspect of topologically ordered states---the twist defects. Lauren Tompkins "Testing DAMA's long-standing claim for dark matter detection" Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds Stanislav Chadov 1 Xiaoliang Qi 2 , 4 Jürgen Kübler 3 Gerhard H. Fecher However, despite intensive searches, they have yet to be detected. What is the nature of topological phenomena in condensed matter physics and quantum entanglement? 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 We have also worked on topological states of matter. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. 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. Topological field theory of time-reversal invariant insulators Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang Phys. Xiaoliang Qi Approved for the Stanford University Committee on Graduate Studies. We helped relating holographic duality with tensor network states, a geometrical representation of quantum many-body states. 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. Xiaoliang Qi. MLA. • Topological Kondo insulators (Coleman et al) Topological insulators (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap [1–4]. Rev. Their existence could explain the missing dark matter of the universe. A topological insulator, like an ordinary insulator, has a bulk energy gap separating the highest occupied electronic band from the lowest empty band. 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. Si Li* and Zhi-Ming Yu and Yugui Yao and Shengyuan A. Yang. Proximity Effects between Topological Insulators and Insulating Ferromagnets. 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 B 78, 195424 – Published 24 November 2008; Erratum Phys. topological insulator and/or magnetic topological insulator structures. 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 … Topological Insulators and superconductors Lyon school 2009 Shoucheng Zhang, Stanford University. Pages 857-870 Download PDF. Topological insulators (TIs) are new states of matter based on the topology in the electronic band structure. Type-II topological metals. Xiaoliang Qi. 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. 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 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 , 2018. Proximity effects between topological insulators and insulating ferromagnets. The electronic band structure determines the conductivity of metals and insulators. Topological Mott insulators • Dynamic generation of spin-orbit coupling can give rise to TMI (Raghu et al, PRL 2008). • 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. Frontiers of Physics 15, 43201 (2020). Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. Edited by David Carpentier, Jérôme Cayssol. 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. We propose a com-bined magnetooptical Kerr and Faraday rotation experiment as a universal measure of the Z2 invariant. Recent discovery of topological insulators and topological superconductors in different symmetry classes bring the opportunity to study a large family of new topological phenomena. 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. Article preview. Starting with the discovery of two-dimensional TIs, the HgTe-based quantum wells [5, 6], many new topological materials have been … 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. The last two chapters are devoted to 3D topological insulators. 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. Topological insulators / Isolants topologiques. Yang, Qi, Aharon Kapitulnik, Ian R. Fisher, and Xiaoliang Qi. Volume 14, Issues 9–10, Pages 757-894 (November–December 2013) ... Pavan Hosur, Xiaoliang Qi. 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