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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Springer Tracts in Modern Physics,
244 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-24384-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220119085544.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 111202s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642243844 |9 978-3-642-24384-4 | ||
| 024 | 7 | |a 10.1007/978-3-642-24384-4 |2 doi | |
| 050 | 4 | |a QC173.96-174.52 | |
| 072 | 7 | |a PHQ |2 bicssc | |
| 072 | 7 | |a SCI057000 |2 bisacsh | |
| 072 | 7 | |a PHQ |2 thema | |
| 082 | 0 | 4 | |a 530.12 |2 23 |
| 100 | 1 | |a Greiter, Martin. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XIV, 194 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Tracts in Modern Physics, |x 1615-0430 ; |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 Quantum physics. | |
| 650 | 0 | |a Condensed matter. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Condensed Matter Physics. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642243837 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642437823 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642243851 |
| 830 | 0 | |a Springer Tracts in Modern Physics, |x 1615-0430 ; |v 244 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-24384-4 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||