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| Interplay of Topology and Geometry in Fractional Quantum Hall Liquids |
| 2017-11-06
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CAS Key Laboratory of Theoretical Physics |
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Institute of Theoretical Physics |
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Chinese Academy of Sciences |
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Colloquium |
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Title
题目 |
Interplay of Topology and Geometry in Fractional Quantum Hall Liquids |
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Speaker
报告人 |
Kun Yang |
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Affiliation
所在单位 |
National High Magnetic Field Lab and Physics Department, Florida State University, Tallahassee, FL 32306, USA |
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Date
日期 |
2017年11月6日（周一）上午11：00 |
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Venue
地点 |
Room 6620, ITP NEW BUILDING |
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Abstract
摘要 |
Fractional Quantum Hall Liquids (FQHL) are the ultimate strongly correlated electron systems, and the birth place of topological phase of matter. Early theoretical work has emphasized the universal or topological aspects of quantum Hall physics. More recently it has become increasingly clear that there is very interesting bulk dynamics in FQHL, associated with an internal geometrical degree of freedom, or metric. The appropriate quantum theory of this internal dynamics is thus expected to take the form of a “quantum gravity”, whose elementary excitations are spin-2 gravitons. After briefly reviewing the topological aspect of FQHL, I will discuss in this talk how to couple and probe the presence of this internal geometrical degree of freedom experimentally in the static limit [1], and detect the graviton excitation in a spectroscopic measurement [2], using "gravitational wave". Comparison will be made with recent experimental [3] and numerical [4] work.
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> Reference:
> [1] Kun Yang, Geometry of compressible and incompressible quantum Hall States: Application to anisotropic composite-fermion liquids, Phys. Rev. B 88, 241105 (2013).
> [2] Kun Yang, Acoustic Wave Absorption as a Probe of Dynamical Gravitational Response of Fractional Quantum Hall Liquids, Phys. Rev. B 93, 161302 (2016).
> [3] Insun Jo, K. A. Villegas Rosales, M. A. Mueed, L. N. Pfeiffer, K. W. West, K. W. Baldwin, R. Winkler, Medini Padmanabhan, M. Shayegan, Transference of Fermi Contour Anisotropy to Composite Fermions, arXiv:1701.06684.
> [4] Matteo Ippoliti, Scott D. Geraedts, R. N. Bhatt, Numerical Study of Anisotropy in the Composite Fermi Liquid, arXiv:1701.07832. |
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Contact person
所内联系人 |
Chu-Shun Tian |
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