High-temperature kinetic magnetism in triangular lattices

Quantum simulation of frustrated classical magnetism in triangular optical lattices.

Magnetism plays a key role in modern technology and stimulates research in several branches of condensed matter physics. Although the theory of classical magnetism is well developed, the demonstration of a widely tunable experimental system has remained an elusive goal. Here, we present the realization of a large-scale simulator for classical magnetism on a triangular lattice by exploiting the ...

Dilute Annealed Magnetism and High Temperature Superconductivity

It has become increasingly appreciated that the strong antiferromagnetic coupling between in-plane Cu atoms in most of the high-temperature superconductors is not merely fortuitous [ 1-4 ]. However a coherent understanding of exactly how the magnetic interactions influence the observed superconductivity has been elusive. Here we focus on the prototype compound, La2_xSrxCuO 4 ( " 2 1 4 " ) . We ...

Entropy of Triangular Lattices

Quasiperfect domination in triangular lattices

A vertex subset S of a graph G is a perfect (resp. quasiperfect) dominating set in G if each vertex v of G \ S is adjacent to only one vertex (dv ∈ {1, 2} vertices) of S. Perfect and quasiperfect dominating sets in the regular tessellation graph of Schläfli symbol {3, 6} and in its toroidal quotients are investigated, yielding the classification of their perfect dominating sets and most of thei...

Multivortex solitons in triangular photonic lattices.

We introduce a novel class of stable lattice solitons with a complex phase structure composed of many single-charge discrete vortices in a triangular photonic lattice. We demonstrate that such nonlinear self-trapped states are linked to the resonant Bloch modes, which bear a honeycomb pattern of phase dislocations.