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Status: Präsenznutzung
Signatur: PY/UD 9310-244   QR-Code
Standort: Bereichsbibl. Physik + As / BPA
Exemplare: siehe unten
Verfasst von:Greiter, Martin   i
Titel:Mapping of parent Hamiltonians
Titelzusatz:from Abelian and non-Abelian quantum Hall states to exact models of critical spin chains
Verf.angabe:Martin Greiter
Verlagsort:Berlin ; Heidelberg [u.a.]
Verlag:Springer
Jahr:2011
Umfang:XIV, 194 S.
Illustrationen:graph. Darst.
Format:24 cm
Gesamttitel/Reihe:Springer tracts in modern physics ; 244
Fussnoten:Literaturangaben
Inhalt:Introduction and SummaryThree Models and a Ground State. The Laughlin State and Its Parent Hamiltonian ; The Haldane-Shastry Model ; The Moore-Read State and Its Parent Hamiltonian ; An S=1 Spin Liquid State Described by a Pfaffian. -- From a Laughlin State to the Haldane-Shastry Model. General Considerations ; Hilbert Space Renormalization ; Fourier Transformation ; The Defining Condition for the Gutzwiller State ; Rotations and Spherical Tensor Operators ; Construction of a Parent Hamiltonian for the Gutzwiller State ; The Rapidity Operator and More ; Concluding Remarks. -- From a Bosonic Pfaffian State to an S=1 Spin Chain. General Considerations ; Hilbert Space Renormalization ; Fourier Transformation ; The Defining Condition for the S=1 Pfaffian Chain ; Construction of a Parent Hamiltonian ; Vector Annihilation Operators ; Concluding Remarks. -- Generalization to Arbitrary Spin S. A Critical Spin Liquid State With Spin S ; The Defining Condition for the Spin S Chain ; Construction of a Parent Hamiltonian ; Vector Annihilation Operators ; Scalar Operators Constructed from Vectors ; The Case S = 1/2 Once More. -- Conclusions and Unresolved Issues.
ISBN:3-642-24383-5
 978-3-642-24383-7
Bestellnr.:80074069
Abstract:"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."--Publisher's website
URL:: Volltext ; Verlag: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=024650196&line_number=0001&func_code=DB_RECORDS& ...
 : Inhaltstext ; Verlag: http://deposit.d-nb.de/cgi-bin/dokserv?id=3873350&prov=M&dok_var=1&dok_ext=htm
 : Inhaltstext: http://deposit.d-nb.de/cgi-bin/dokserv?id=3873350&prov=M&dok_var=1&dok_ext=htm
 : Inhaltsverzeichnis ; Verlag: https://www.gbv.de/dms/tib-ub-hannover/667882057.pdf
 : Inhaltstext: https://zbmath.org/?q=an:1235.81001
Schlagwörter:(s)Quantenflüssigkeit   i / (s)Quanten-Hall-Effekt   i / (s)Spinkette   i / (s)Kritisches Phänomen   i
Sprache:eng
Reproduktion:Online-Ausg.: Greiter, Martin: Mapping of Parent Hamiltonians. - Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011. - Online-Ressource
 Online-Ausg.: Mapping of Parent Hamiltonians
Bibliogr. Hinweis:Erscheint auch als : Online-Ausgabe: Greiter, Martin: Mapping of Parent Hamiltonians. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011. - Online-Ressource (XIV, 194p. 22 illus, digital)
RVK-Notation:UO 4020   i
 UD 9310   i
K10plus-PPN:667882057
Verknüpfungen:→ Übergeordnete Aufnahme
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SignaturQRStandortStatus
PY/UD 9310-244QR-CodeBereichsbibl. Physik + Astronomie / BPAPräsenznutzung
Mediennummer: 59841776, Inventarnummer: PYM-1200021

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