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Creating Extended Landau Levels of Large Degeneracy with Photons

Chen, Kuan-Hao
http://rave.ohiolink.edu/etdc/view?acc_num=osu1542878428843845

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Physics.
Large degeneracy in Landau levels is a key to many quantum Hall phenomena. Geometric effects on quantum Hall states is another interesting problem that can probe the correlations in the quantum Hall states. A recent experiment has reported a result in creating the energy levels and the wave functions of Landau problem in a cone with photons. Based on their system, we generalize the scheme and discover a way to create extended degenerate levels with considerably larger degeneracy than that of the conventional Landau levels. To fully understand how to achieve this degenerate levels with photons, we also present the relevant topics in optics that are not familiar to condensed matter community to make it self-contained. The reason of this dramatically large degeneracy is that each degenerate level contains the whole spectrum of a Landau problem in a cone. In another words, we compress the spectrum of a two-dimensional system into one single energy. This considerably large degeneracy is expected to cause dramatic phenomena in quantum Hall and many-body physics. We suggest experimental measurements that could show this discovery.
Tin-Lun Ho (Advisor)
Stuart Raby (Committee Member)
Ilya Gruzberg (Committee Member)
Rolando Valdes-Aguilar (Committee Member)
166 p.
Physics
Quantum Hall physics, synthetic Landau levels, geometric response, many-body physics

Recommended Citations

Citations

  • Chen, K.-H. (2018). Creating Extended Landau Levels of Large Degeneracy with Photons [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1542878428843845

    APA Style (7th edition)

  • Chen, Kuan-Hao. Creating Extended Landau Levels of Large Degeneracy with Photons. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1542878428843845.

    MLA Style (8th edition)

  • Chen, Kuan-Hao. "Creating Extended Landau Levels of Large Degeneracy with Photons." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1542878428843845

    Chicago Manual of Style (17th edition)

osu1542878428843845
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This open access ETD is published by The Ohio State University and OhioLINK.