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Fractional Statistics and Anyon Superconductivity

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"Fractional Statistics and Anyon Superconductivity" by Frank Wilczek is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.

The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones. In a remarkable case, the fractional quantum statistics of quasiparticles in the fractional quantized Hall effect (FQHE) contributes to the understanding of states found there. Very recent work has indicated that similar possibilities arise for two-dimensional films in certain states of liquid 3He. Perhaps most exciting, although quite speculative at this moment, are recent attempts to apply fractional statistics to spin systems, and specifically to the behaviour of the 2-dimensional copper oxide layers that seem to be critical to the phenomenon of high-temperature superconductivity. It has recently been shown that fractional statistics automatically implies superconductivity of a qualitatively new kind. This collection of reprints with comprehensive commentary will serve as a valuable reference for those interested in the subject but have found it difficult to acquire basic knowledge, or a coherent view of the whole, due to the scattered literature available at present.

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Best For: Researchers and students interested in quantum field theory and condensed matter physics
Focus: Exploring fractional statistics and their role in quantum field theory models and two-dimensional systems
Covers: Theoretical aspects of fractional statistics, quasiparticles in the fractional quantum Hall effect, and implications for two-dimensional films
Why It Matters: Provides insight into the quantum behaviors that underpin phenomena like the fractional quantum Hall effect, which is important for understanding advanced superconductivity concepts

"Fractional Statistics and Anyon Superconductivity" by Frank Wilczek is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Devices & Sensors

Author: Frank Wilczek

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones. In a remarkable case, the fractional quantum statistics of quasiparticles in the fractional quantized Hall effect (FQHE) contributes to the understanding of states found there. Very recent work has indicated that similar possibilities arise for two-dimensional films in certain states of liquid 3He. Perhaps most exciting, although quite speculative at this moment, are recent attempts to apply fractional statistics to spin systems, and specifically to the behaviour of the 2-dimensional copper oxide layers that seem to be critical to the phenomenon of high-temperature superconductivity. It has recently been shown that fractional statistics automatically implies superconductivity of a qualitatively new kind. This collection of reprints with comprehensive commentary will serve as a valuable reference for those interested in the subject but have found it difficult to acquire basic knowledge, or a coherent view of the whole, due to the scattered literature available at present.

AuthorFrank Wilczek
PublisherWorld Scientific Publishing Company Incorporated
Published1990
ISBN-139789810200480
BindingHardcover
LanguageEnglish
SubjectsScience
TopicDevices & Sensors
SeriesDirections in Condensed Matter Physics

Format: Hardcover

Language: English

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