TY - JOUR
T1 - Quantum dimer model for the spin- 12 kagome Z2 spin liquid
AU - Rousochatzakis, Ioannis
AU - Wan, Yuan
AU - Tchernyshyov, Oleg
AU - Mila, Frédéric
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/9/15
Y1 - 2014/9/15
N2 - We revisit the description of the low-energy singlet sector of the spin-12 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we show that the embedding of a given process in its kagome environment leads to dramatic modifications of the amplitudes of the elementary loop processes, an effect not accessible to the standard approach based on the truncation of the Hamiltonian to the nearest-neighbor valence-bond basis. The resulting parameters are consistent with a Z2 spin liquid rather than with a valence-bond crystal, in agreement with the last density matrix renormalization group results.
AB - We revisit the description of the low-energy singlet sector of the spin-12 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we show that the embedding of a given process in its kagome environment leads to dramatic modifications of the amplitudes of the elementary loop processes, an effect not accessible to the standard approach based on the truncation of the Hamiltonian to the nearest-neighbor valence-bond basis. The resulting parameters are consistent with a Z2 spin liquid rather than with a valence-bond crystal, in agreement with the last density matrix renormalization group results.
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U2 - 10.1103/PhysRevB.90.100406
DO - 10.1103/PhysRevB.90.100406
M3 - Article
AN - SCOPUS:84907246494
SN - 1098-0121
VL - 90
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 10
M1 - 100406
ER -