The ground-state properties of the antiferromagnetic, nearest-neighbor, frustrated Heisenberg spin-1/2 system on a nontranslational lattice of dimension d=ln3/ln2 are investigated. The argument is presented indicating that quantum fluctuations, frustration, lack of translational symmetry, and reduction of dimension of the system from d=2, but kept above d=1, taken together lead to a disordered ground state in quantum antiferromagnets. © 1996 The American Physical Society.

• Received 10 January 1996

DOI:https://doi.org/10.1103/PhysRevB.54.395