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Title: Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet

Abstract

We propose a general nonperturbative scheme that quantitatively maps the low-energy sector of spin-1/2 frustrated Heisenberg antiferromagnets to effective generalized quantum dimer models. We develop the formal lattice-independent frame and establish some important results on (i) the locality of the generated Hamiltonians, (ii) how full resummations can be performed in this renormalization scheme. The method is then applied to the much debated kagome antiferromagnet for which a fully resummed effective Hamiltonian - shown to capture the essential properties and provide deep insights on the microscopic model [D. Poilblanc, M. Mambrini, and D. Schwandt, Phys. Rev. B 81, 180402(R) (2010)] - is derived.

Authors:
; ;  [1]
  1. Laboratoire de Physique Theorique, CNRS and Universite de Toulouse, F-31062 Toulouse (France)
Publication Date:
OSTI Identifier:
21386737
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 81; Journal Issue: 21; Other Information: DOI: 10.1103/PhysRevB.81.214413; (c) 2010 The American Physical Society; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CAPTURE; DIMERS; HAMILTONIANS; LOCALITY; MAPS; RENORMALIZATION; SPIN; ANGULAR MOMENTUM; MATHEMATICAL OPERATORS; PARTICLE PROPERTIES; QUANTUM OPERATORS

Citation Formats

Schwandt, David, Mambrini, Matthieu, and Poilblanc, Didier. Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet. United States: N. p., 2010. Web. doi:10.1103/PHYSREVB.81.214413.
Schwandt, David, Mambrini, Matthieu, & Poilblanc, Didier. Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet. United States. https://doi.org/10.1103/PHYSREVB.81.214413
Schwandt, David, Mambrini, Matthieu, and Poilblanc, Didier. Tue . "Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet". United States. https://doi.org/10.1103/PHYSREVB.81.214413.
@article{osti_21386737,
title = {Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet},
author = {Schwandt, David and Mambrini, Matthieu and Poilblanc, Didier},
abstractNote = {We propose a general nonperturbative scheme that quantitatively maps the low-energy sector of spin-1/2 frustrated Heisenberg antiferromagnets to effective generalized quantum dimer models. We develop the formal lattice-independent frame and establish some important results on (i) the locality of the generated Hamiltonians, (ii) how full resummations can be performed in this renormalization scheme. The method is then applied to the much debated kagome antiferromagnet for which a fully resummed effective Hamiltonian - shown to capture the essential properties and provide deep insights on the microscopic model [D. Poilblanc, M. Mambrini, and D. Schwandt, Phys. Rev. B 81, 180402(R) (2010)] - is derived.},
doi = {10.1103/PHYSREVB.81.214413},
url = {https://www.osti.gov/biblio/21386737}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 21,
volume = 81,
place = {United States},
year = {2010},
month = {6}
}