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Springer Mapping Parent Hamiltonians: Quantum Hall States to Spin Chains

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Description

This monograph presents an exact model for critical spin chains with arbitrary spin S, extending the Haldane-Shastry framework to encompass non-abelian statistics. The work maps quantized Hall states onto spin chain systems, revealing how spinons transition from abelian half-fermi statistics in the S=1/2 case to non-abelian statistics in generalised models. Topological fractional momentum spacings emerge as key features distinguishing the theory. Part of Springer Tracts in Modern Physics volume 244, this text provides a comprehensive pedagogical foundation covering all essential models and theoretical concepts, making it invaluable for researchers in condensed matter physics and quantum information theory.

Key Features

Introduces exact spin chain models with arbitrary spin S, generalising the Haldane-Shastry model beyond the S=1/2 case.

Explores non-abelian statistics of spinons and their topological manifestations through fractional momentum spacings.

Maps quantized Hall state models onto spin chain systems, connecting quantum Hall physics with spin dynamics.

Provides pedagogical coverage of relevant models and theoretical background for understanding non-abelian quantum Hall effects.

Part of Springer Tracts in Modern Physics series (volume 244), offering research-level treatment of critical phenomena.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 December 2011
Listed Since
27 August 2011

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