Papić, Z. and Balram, A.C. (2023) Fractional quantum Hall effect in semiconductor systems. In: Chakraborty, T., (ed.) Encyclopedia of Condensed Matter Physics (Second Edition). Elsevier , pp. 285-307. ISBN 978-0-323-91408-6
Abstract
The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems, topology and quantum mechanics conspire to give rise to exotic physics that manifests via robust quantization of the Hall resistance. In this chapter, we provide an overview of the experimental phenomenology of the FQH effect in GaAs-based semiconductor materials and present its theoretical interpretations in terms of trial wave functions, composite fermion quasiparticles, and enigmatic non-Abelian states. We also highlight some recent developments, including the Parton theory and the Dirac composite fermion field theory of FQH states, the role of anisotropy and geometrical degrees of freedom, and quantum entanglement in FQH fluids.
Metadata
Item Type: | Book Section |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Oct 2024 10:29 |
Last Modified: | 18 Oct 2024 10:29 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/b978-0-323-90800-9.00007-x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:218550 |