Magnetic studies of two-dimensional frustrated systems

Background

The success in understanding the collective behavior of convetional magnets lead in the past decade to an increased interest in systems that exhibit a novel type of ordering as a consequence of ``frustration''. In particular, geometrically frustrated systems (having as a basic building block triangles of antiferromagnetic bonds) have been the object of extensive theoretical studies. It was found that frustration gives rise to spectacular and often unexpected behaviors at low temperatures due to the high degeneracy of the ground state. Recently, more and more experimental realizations of such geometrically frustrated systems have been achieved. 2D and 3D materials have been assembled from triangles and tetrahedra such that neighbouring geometrical units share either a common edge or a common corner. Such new materials have stirred a new debate, whether frustration alone is strong enough to destroy magnetic long range order.

Traditionally, spin glass behavior required both disorder and frustration. It has been argued that frustration alone can lead to large ground-states degeneracies, accompanied by extensive ground-state entropies, but cannot produce a sufficiently ``rough'' free energy landscape necessary for the development of glassiness. Since the effects of frustration are more pronounced in lower dimensions, the best candidates for disorder-free glassiness are two dimensional antiferromagnets on triangular or kagomé lattices. Such systems have been intensely studied in recent years, glassiness being found in kagomé systems as well as in other materials, all having continuous spins and sharing the same basic building block - the triangular plaquette - for their lattices. Each of these materials has its strengths and weaknesses as examples of spin glasses.

Recent Advances

Together with our collaborator from the University of Tokyo, we recently reported, to our knowledge, the first evidence for hybrid organic/inorganic triangular quantum Heisenberg antiferromagnets with additional Dzyaloshinskii-Moriya interaction, Cu2(OH)3(CmH2m+1COO), m=7,9 and 11. Based on dc magnetization and magnetic irreversibility studies, and on linear and nonlinear ac susceptibility data we showed that these compounds have an unusual magnetic behavior, presenting, due to the additional Dzyaloshinskii-Moriya interaction, neither the disordered resonant valence bond nor the ordered noncollinear Neel ground state. Instead, we proposed that the interplay between the Heisenberg antiferromagnetic exchange, causing frustration, and the Dzyaloshinskii-Moriya interaction, leading to spin canting, allow these systems to evolve, into a new, unusual state with both canted antiferromagnetic and spin glass-like characteristics. [1,2,3].

Publications

M.A. Girtu, C.M. Wynn, W. Fujita, K. Awaga, and A.J. Epstein, Coexistence of  Glassiness and Canted Antiferromagnetism in Triangular Quantum Heisenberg Antiferromagnets with Weak Dzyaloshinskii-Moriya Interaction, Physical Review B, Rapid Communications 57, 11058-11061 (1998).

M.A. Girtu, C.M. Wynn, W. Fujita, K. Awaga, and A.J. Epstein, Canted Antiferromagnetism and Spin Glasslike Behavior in a Family of 2D Organic/Inorganic NanocompositesJournal of Applied Physics, 7378-7380, (1998).

Created by Darren Gebler and Mihai Gîrtu. Maintained by John Rohrbacher. Last updated 6/1/00.