Four-coloring model and frustrated superfluidity in the diamond lattice.

Impurity effects in highly frustrated diamond-lattice antiferromagnets

We consider the effects of local impurities in highly frustrated diamond-lattice antiferromagnets, which exhibit large but nonextensive ground-state degeneracies. Such models are appropriate to many A-site magnetic spinels. We argue very generally that sufficiently dilute impurities induce an ordered magnetic ground state and provide a mechanism of degeneracy breaking. The states that are selec...

Quantum Paramagnet and Frustrated Quantum Criticality in a Spin-One Diamond Lattice Antiferromagnet

Motivated by the proposal of topological quantum paramagnet in the diamond lattice antiferromagnet NiRh2O4, we propose a minimal model to describe the magnetic interaction and properties of the diamond material with the spin-one local moments. Our model includes the first and second neighbor Heisenberg interactions as well as a local single-ion spin anisotropy that is allowed by the spin-one na...

مطالعه مدل هایزنبرگ به روش خودسازگار گاؤسی بر روی شبکه‌ها‌ی لانه زنبوری و الماسی

The classical J1-J2 Heisenberg model on bipartite lattice exhibits "Neel" order. However if the AF interactions between the next nearest neighbor(nnn) are increased with respect to the nearest neighbor(nn), the frustration effect arises. In such situations, new phases such as ordered phases with coplanar or spiral ordering and disordered phases such as spin liquids can arise. In this paper we ...

Evolution of magnetic states in frustrated diamond lattice antiferromagnetic Co(Al1- xCox)(2)O-4 spinels

سیستمهای الکترونی همبسته قوی در شبکه‌های ناکام

 We give an overview of recent work on charge degrees of freedom of strongly correlated electrons on geometrically frustrated lattices. Special attention is paid to the checkerboard lattice, i.e., the two-dimensional version of a pyrochlore lattice and to the kagomé lattice. For the checkerboard lattice it is shown that at half filling when spin degrees of freedom are neglected and at quarter f...