A new paradigm for two-dimensional spin-liquids

Details A new paradigm for two-dimensional spin-liquids A new paradigm for two-dimensional spin-liquids

1997-10-11

arxiv.org/abs/cond-mat/9710109v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTex, 1 postscript figure included. Submitted to the 7th Joint MMM-Intermag Conference, San Francisco, CA

Scientific paper

10.1063/1.367682

Motivated by the geometry of the materials Na_2 Ti_2 As_2 O and Na_2 Ti_2 Sb_2 O, we study a square-lattice Heisenberg antiferromagnet with spins located at the bond-centers. The largest exchange constant J couples neighboring spins in a given row or column. This leads to a mesh of isolated spin-chains running along the X and Y axes. A weaker exchange constant J' couples the nearest-neighbor spins on the lattice. Classically, J' fails to fix the relative spin orientation for different chains and hence the ground state is highly degenerate. Quantum order by disorder effect is studied by spin-wave theory and numerical methods. It is shown that a 4-sublattice order is favored by quantum fluctuations. However, several arguments are presented that suggest that the ground state of the system remains disordered, thus providing us with a paradigm for a two-dimensional spin-liquid.

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