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Springer Mapping of Parent Hamiltonians - Physics Monograph 244

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Description

Explore advanced theoretical physics with this Springer monograph, Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains. This specialized volume, part of the Springer Tracts in Modern Physics series (volume 244), provides a deep look into the connection between quantized Hall states and spin chains. The text introduces an exact model for a critical spin chain with arbitrary spin S. This model serves as a broader framework that includes the well-known Haldane-Shastry model as a specific case where S=1/2. A key distinction explored is the statistical behavior of particles: while spinons in the Haldane-Shastry model follow abelian half-fermi statistics, the general model presented here features spinons that obey non-abelian statistics. This difference is demonstrated through topological choices for fractional momentum spacings. Designed for researchers and advanced students, the book offers a pedagogical review of all relevant models, including the non-abelian statistics necessary to understand these complex systems. By mapping exact models of quantized Hall states onto spin chains, this work provides a clear mathematical pathway for studying these physical phenomena.

Key Features

Introduces an exact model for critical spin chains with arbitrary spin S, providing a framework that extends beyond the standard Haldane-Shastry model.

Explores the transition from abelian half-fermi statistics to non-abelian statistics in spinons through topological momentum spacing choices.

Provides a detailed mapping process that connects exact models of quantized Hall states directly to spin chain models.

Includes a pedagogical review of all relevant physical models to ensure a foundational understanding of the complex topics covered.

Part of the prestigious Springer Tracts in Modern Physics series, offering high-level academic research for the physics community.

Product Specifications

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

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