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Interplay of Topology and Geometry in Fractional Quantum Hall Liquids
2017-11-06  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

 Chinese Academy of Sciences

Colloquium

Title

题目

Interplay of Topology and Geometry in Fractional Quantum Hall Liquids

Speaker

报告人

Kun Yang

Affiliation

所在单位

National High Magnetic Field Lab and Physics Department, Florida State University, Tallahassee, FL 32306, USA

Date

日期

2017年11月6日(周一)上午11:00

Venue

地点

Room 6620, ITP NEW BUILDING

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.
>
> 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.

Contact person

所内联系人

Chu-Shun Tian
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