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Department of Physics
People

Xiao-Liang Qi

Assistant Professor of Physics

Xiao-Liang Qi (click for larger version of photo)

GLAM
Room 312, McCullough Bldg
476 Lomita Mall
Stanford, CA 94305-4045

Phone: (650)724-5259

Email: xlqi(at)stanford.edu

Stanford Directory

Personal web site

Research Interests

At this moment I am mainly interested in two fields in condensed matterphysics -- topological phenomena and quantum entanglement.

Topological phenomena are the phenomena which are determined by some topological structure in the physical system, which are thus usually universal and robust against perturbations. For example, two famous topological phenomena are the flux quantization in superconductors and Hall conductance quantization in the Quantum Hall states. Recent discovery of topological insulators and topological superconductors in different symmetry classes bring the opportunity to study a large family of new topological phenomena. For example the three-dimensional topological insulator provides a condensed matter realization of the important theoretical concepts in high energy physics such as ”\theta-vacuum” and “axion”. The interplay of topological insulators and superconductors with conventional phases of matter such as ferromagnets and superconductors lead to richer topological phenomena. For an intuitive introduction to topological insulators, see Qi and Zhang, Physics Today Jan 2010.

Quantum entanglement is the unique feature of quantum mechanics, which is essential for quantum information and quantum computation. The understanding of quantum entanglement provides a new probe to the physical properties of the many-body systems compared to the conventional response properties such as conductivity, spin susceptibility, etc. On the other hand, more systematical understanding of quantum entanglement in many-body systems may also lead to breakthrough in building a quantum computer. It is far more difficult to study entanglement properties in many-body systems compared to few-body systems. There are a lot of open questions for which the answer is not known or only known for specific systems. For example, what is the general relation between entanglement properties and other physical observables in a given system? What is the relation between quantum entanglement and topological states of matter? Besides the known description of entanglement such as von Neumann entropy, what other measure can be defined to provide more refined characterization of entanglement? I am pursuing these directions. For a recent work I did along this line, click here.

Career History

Teaching

  • Physics 370: Theory of Many-Particle Systems

Selected Publications

1. Entanglement Entropy and Entanglement Spectrum of the Kitaev Model, Hong Yao and Xiao-Liang Qi, Phys. Rev. Lett. 105, 080501 (2010)

2. The quantum spin Hall effect and topological insulators Xiao-Liang Qi and Shou-Cheng Zhang Physics Today 63, 33-38 (2010)

3. Inducing a Magnetic Monopole with Topological Surface States, Xiao-Liang Qi, Rundong Li, Jiadong Zang and Shou-Cheng Zhang Science 323, 1184 (2009)

4. Topological Insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with single Dirac cone on the surface Haijun Zhang, Chao-Xing Liu, Xiao-Liang Qi, Xi Dai, Zhong Fang, Shou-Cheng Zhang Nature Physics 5, 438 (2009)

5. Topological Field Theory of Time-Reversal Invariant Insulators, Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang Phys. Rev. B 78, 195424 (2008)

6. Fractional charge and quantized current in the quantum spin Hall state, Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang Nat. Phys. 4, 273 - 276 (2008)

7. Spin-Charge Separation in the Quantum Spin Hall State, Xiao-Liang Qi and Shou-Cheng Zhang Phys. Rev. Lett. 101, 086802 (2008)


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