Quantum magnetism on the Cairo pentagonal lattice

Details Quantum magnetism on the Cairo pentagonal lattice Quantum magnetism on the Cairo pentagonal lattice

2012-01-15

arxiv.org/abs/1201.3079v2

Phys. Rev. B 85, 104415 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages, 19 figures; published version

Scientific paper

10.1103/PhysRevB.85.104415

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 Bi2Fe4O9. We consider a model with two exchange couplings suggested by the symmetry of the lattice, and 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 J1-J2 effective model with J2 >> J1), and (ii) a non-magnetic and possibly spin-nematic phase with d-wave symmetry at intermediate x.

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