Title page for etd-0604115-175715


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URN etd-0604115-175715
Author Chin-hsi Lee
Author's Email Address m032030003@student.nsysu.edu.tw
Statistics This thesis had been viewed 5561 times. Download 399 times.
Department Physics
Year 2014
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title Investigating Integer Quantum Hall effect in Kagomé and star lattice by Yasuhiro Hatsugai’s method
Date of Defense 2015-07-01
Page Count 42
Keyword
  • lattice field theory
  • Decorated honeycomb lattice
  • Topology
  • Star lattice
  • Kagomé lattice
  • Chern number
  • Quantum Hall effect
  • Abstract Since the single layer graphene are observed by Andre Geim and Konstantin Novoselov, the quantum phenomena emerging from graphene as attracted many physicists’s attentions in the two dimensional lattice structure. One of the important quantum phenomena is the unconventional quantum Hall effect which the Hall plateau (Chern number pattern) does not show successive integers but only odd integers. However, there are some other problems to calculate the quantum Hall conductivity, such as the determination of the Chern number pattern from a specific lattice structure and the reduction of the computational time. Motivated by these issues, I use Yasuhiro Hatsugai’s topological approaches to investigate the quantum Hall effect of other lattices. I use Hatsugai’s method to calculate the quantum Hall conductivity in two different lattices: Kagomé and star lattices. I find that the Dirac-like regions of quantum Hall conductivity also exists in both Kagomé and star lattices, which is similar to graphene. Unlike the graphene, the star lattice shows complicated Chern number structure in the electron-hole like regions. Hopefully, the Chern number pattern of the star lattice predicted by us can be determined by experiments in the near future.
    Advisory Committee
  • Wang-Chuang Kuo - chair
  • Chong-Der Hu - co-chair
  • Tsung-Wei Chen - advisor
  • Files
  • etd-0604115-175715.pdf
  • Indicate in-campus at 1 year and off-campus access at 1 year.
    Date of Submission 2015-07-04

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