1 / 11

Understanding Quantum Hall Effects: Unconventional Graphene Phenomena

Explore Integral, Fractional, Anomalous QHEs, Spin Hall Effect, unconventional QHE in Graphene, and methods to characterize transport phenomena. Delve into direct probing techniques such as Quantum Capacitance and STM Spectroscopy.

taylorsharon
Download Presentation

Understanding Quantum Hall Effects: Unconventional Graphene Phenomena

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Quantum Hall Effects Xinyuan Lai 601 Presentation

  2. Outline • About the Quantum Hall Effects (QHEs): Integral, Fractional, Anomalous, Quantum Spin Hall Effect, etc. • Unconventional QHE in Graphene • Methods to Characterize the Effects Transport, Direct Probing (Quantum Capacitance), STM Spectroscopy…

  3. Hall Effect (1879) B +++++++++++++++++++ Ex, jx VH Ey - - - - - - - - - - - - - - - - - -

  4. Zyun Francis Ezawa, Quantum Hall Effects: Field Theoretical Approach and Related Topics Integral QHE vs. HE Shubnikov-de Hass Oscillation

  5. Zyun Francis Ezawa, Quantum Hall Effects: Field Theoretical Approach and Related Topics Landau Quantization electron center of cyclotron motion radial vector of cyclotron motion R Generalizing to Harmonic Oscillators gives: X H = hcR²/2l²= hc( + ½ ) Link of video

  6. Zyun Francis Ezawa, Quantum Hall Effects: Field Theoretical Approach and Related Topics DC Tsui, PRL, 1982 Fractional QHE Filling Factor equals to some fractional values: Composite Particle Picture: m m Described by Laughlin Wave Function: Integral Quantization of Quasi-particles !

  7. Eva Y Andrei et al, Rep. Prog. Phys. 2012 Unconventional QHE in Graphene 2x Degeneracy in Graphene System Not equally spacing LLs: Normal: Graphene:

  8. K. S. Novoselov, Science, 2009 Transport Measurement Room Temperature QHE

  9. Eva Y Andrei et al, Rep. Prog. Phys. 2012 http://research.physics.berkeley.edu/crommie/research:stm STM Spectroscopy

  10. A. F. Young, PRB, 2012 Z. Z. Zibrov, Nature, 2017 Direct Probe Differential Capacitance within the Plate Capacitor: Capacitance reflects the compressibility v connecting to chemical potential μ, which

  11. Thank you!

More Related