Mapping of Parent Hamiltonians: From Abelian and Non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains

By Martin Greiter

Book Overview

Introduction and summary.- Three models and a ground state.- From a Laughlin state to the Haldane-Shastry model.- From a bosonic Pfaffian state to an S = 1 spin chain.- Generalization to arbitrary spin S.- Conclusions and unresolved issues.- Spherical coordinates.- Fourier sums for one-dimensional lattices.- Angular momentum algebra.- Tensor decompositions of spin operators.

• Format: Hardcover
• Language: English
• ISBN: 3642243835
• ISBN13: 9783642243837
• Release Date: December 2011
• Publisher: Springer
• Length: 194 Pages
• Weight: 1.04 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"