2003/05/08 by Predrag Nikolić, P. Nikolic, T. Senthil · 158 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Excited state #Ground state #Heisenberg model #Ising model #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Singlet state #Translational symmetry #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.68.214415
published in Physical review. B, Condensed matter 68(21) (American Physical Society) · 17 pages, 11 figures
arxiv created 2003/05/08 · openalex publication_date 2003/12/12 · arxiv updated 2010/07/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper is concerned with physics of the low-energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is obtained by exploiting an approximate mapping to a fully frustrated transverse-field Ising model on the dual dice lattice. This Ising model is shown to possess at least two phases---an ordered phase that also breaks translational symmetry with a large unit cell, and a paramagnetic phase. The former is argued to be a likely candidate for the ground state of the original Kagome magnet which thereby exhibits a specific pattern of dimer ordering with a large unit cell. Comparisons with available numerical results are made.