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  3. Quantum Hall Effect
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
August 2024
Print publication year:
2025
Online ISBN:
9781009053778
DOI:
https://doi.org/10.1017/9781009053778
Subjects:
Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Quantum Physics, Quantum Information and Quantum Computation
Information

Book description

This book deals with the discovery and explanation of the quantum Hall effect and its fundamental principles. It is meant for undergraduate and graduate students of physics, engineering, and applied sciences studying condensed matter physics. Doctoral students and researchers of this subject will also find it equally useful. It begins with a historical overview of this effect wherein the experiment and the physical systems are described. It progresses to cover discrete symmetries like inversion symmetry, time reversal symmetry, particle-hole symmetry, and chiral symmetry. It also examines how the Hamiltonian transforms under such symmetry operations. Two 1D models, namely the Su-Schrieffer-Heeger (SSH) model and a Kitaev chain with superconducting correlations, are discussed too. Then, the quantum Hall effect in graphene is explained. Further, the spin Hall effect is studied which may have prospects of using graphene as spintronic devices. The book ends with a brief review on fractional quantum Hall effect.

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