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Continuous topological phase transitions between clean quantum hall states

Wen1

  • 1Department of Physics and Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|October 6, 2000
PubMed
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Researchers explored continuous transitions in quantum Hall (QH) states with unique topological orders. These transitions, observed in clean bilayer QH liquids, can be induced by adjusting interlayer interactions, leading to new QH states.

Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Topological Phases of Matter

Background:

  • Topological order characterizes distinct quantum phases beyond Landau symmetry breaking.
  • Continuous transitions between topological orders with identical symmetries are theoretically challenging.
  • Quantum Hall (QH) states offer a platform to study exotic topological phenomena.

Purpose of the Study:

  • To investigate continuous transitions between quantum Hall states that share the same symmetry but exhibit different topological orders.
  • To identify conditions and mechanisms driving such transitions in clean bilayer QH systems.
  • To derive effective theories for the critical points of these transitions.

Main Methods:

  • Theoretical analysis of clean quantum Hall liquids, specifically focusing on bilayer (mmn) states.

Related Experiment Videos

  • Investigating the role of interlayer repulsion and tunneling as control parameters.
  • Derivation of effective field theories to describe the critical phenomena at transition points.

    • Main Results:

    • Demonstrated that clean quantum Hall liquids with neutral nonbosonic quasiparticles can undergo continuous topological transitions.
    • Showed that increasing interlayer repulsion/tunneling in clean bilayer (mmn) states drives continuous transitions to other QH states, including non-Abelian states.
    • Obtained the effective theories describing the critical points associated with these transitions.

    Conclusions:

    • Continuous transitions between distinct topological orders within the same symmetry class are achievable in specific quantum Hall systems.
    • Interlayer interactions provide a viable route to tune and access novel quantum Hall phases, including non-Abelian states.
    • The developed effective theories offer insights into the universal behavior at the critical points of these topological phase transitions.