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

This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2.  While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abe...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Greiter, Martin (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Σειρά:Springer Tracts in Modern Physics, 244
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Greiter, Martin.  |e author. 
245 1 0 |a Mapping of Parent Hamiltonians  |h [electronic resource] :  |b From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains /  |c by Martin Greiter. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2011. 
300 |a XIV, 194 p.  |b online resource. 
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490 1 |a Springer Tracts in Modern Physics,  |x 0081-3869 ;  |v 244 
505 0 |a 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. 
520 |a This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2.  While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics.  This manifests itself through topological choices for the fractional momentum spacings.  The general model is derived by mapping exact models of quantized Hall states onto spin chains.  The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 0 |a Quantum physics. 
650 0 |a Solid state physics. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Quantum Physics. 
650 2 4 |a Solid State Physics. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Mathematical Physics. 
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776 0 8 |i Printed edition:  |z 9783642243837 
830 0 |a Springer Tracts in Modern Physics,  |x 0081-3869 ;  |v 244 
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