TY - JOUR
T1 - Quantum magnetism on the Cairo pentagonal lattice
AU - Rousochatzakis, I.
AU - Läuchli, A. M.
AU - Moessner, R.
PY - 2012/3/23
Y1 - 2012/3/23
N2 - We present an extensive analytical and numerical study of the antiferromagnetic Heisenberg model on the Cairo pentagonal lattice, the dual of the Shastry-Sutherland lattice with a close realization in the S=5/2 compound Bi 2Fe 4O 9. We consider a model with two exchange couplings suggested by the symmetry of the lattice, and we investigate the nature of the ground state as a function of their ratio x and the spin S. After establishing the classical phase diagram, we switch on quantum mechanics in a gradual way that highlights the different role of quantum fluctuations on the two inequivalent sites of the lattice. The most important findings for S=1/2 include (i) a surprising interplay between a collinear and a four-sublattice orthogonal phase due to an underlying order-by-disorder mechanism at small x (related to an emergent J 1-J 2 effective model with J 2 J 1), and (ii) a nonmagnetic and possibly spin-nematic phase with d-wave symmetry at intermediate x.
AB - We present an extensive analytical and numerical study of the antiferromagnetic Heisenberg model on the Cairo pentagonal lattice, the dual of the Shastry-Sutherland lattice with a close realization in the S=5/2 compound Bi 2Fe 4O 9. We consider a model with two exchange couplings suggested by the symmetry of the lattice, and we investigate the nature of the ground state as a function of their ratio x and the spin S. After establishing the classical phase diagram, we switch on quantum mechanics in a gradual way that highlights the different role of quantum fluctuations on the two inequivalent sites of the lattice. The most important findings for S=1/2 include (i) a surprising interplay between a collinear and a four-sublattice orthogonal phase due to an underlying order-by-disorder mechanism at small x (related to an emergent J 1-J 2 effective model with J 2 J 1), and (ii) a nonmagnetic and possibly spin-nematic phase with d-wave symmetry at intermediate x.
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U2 - 10.1103/PhysRevB.85.104415
DO - 10.1103/PhysRevB.85.104415
M3 - Article
AN - SCOPUS:84859051452
SN - 1098-0121
VL - 85
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 10
M1 - 104415
ER -