2003/09/19 by Johannes Richter, J. Richter, J. Schulenburg +5 · 26 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.1088/0953-8984/16/11/029
published as J. Phys.: Condens. Matter 16, S779 (2004) · 6 pages and 2 figures included; uses IOP style files, paper presented on the HFM2003 conference
arxiv created 2003/09/19 · openalex publication_date 2004/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
For a class of frustrated spin lattices including for example the 1D sawtooth chain, the 2D Kagomé and checkerboard, as well as the 3D pyrochlore lattices, we construct exact product eigenstates consisting of several independent, localized one-magnon states in a ferromagnetic background. Important geometrical elements of the relevant lattices are triangles being attached to polygons or lines. Then the magnons can be trapped on these polygons/lines. If the concentration of localized magnons is small, they can be distributed randomly over the lattice. On increasing the number of localized magnons, their distribution over the lattice becomes more and more regular, and finally the magnons condense in a crystal-like state. The physical relevance of these eigenstates emerges in high magnetic fields where they become groundstates of the system. As a result a macroscopic magnetization jump appears in the zero-temperature magnetization curve just below the saturation field. The height of the jump decreases with increasing spin quantum number and vanishes in the classical limit. Thus it is a true macroscopic quantum effect.