2004/02/09 by Predrag Nikolić, P. Nikolic, T. Senthil · 42 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Ising model #Lattice (music) #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Transverse field #Transverse plane #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.71.024401
published in Physical Review B 71(2) (American Physical Society) · 11 pages, 10 figures
arxiv created 2004/02/09 · openalex publication_date 2005/01/05 · arxiv updated 2010/07/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the quantum Ising antiferromagnet on the kagome lattice, with weak transverse field dynamics and other local perturbations. We analytically demonstrate the possibility of a disordered zero-temperature phase that is smoothly connected to the phase at strong transverse fields. This is done by means of an appropriate mapping to a compact U(1) gauge theory on the honeycomb lattice that is coupled to a charge-1 matter field. Our results are consistent with existing Monte-Carlo calculations. The differences with commonly studied quantum Ising models on other two-dimensional lattices (in which such disordered phases are not obtained at weak transverse fields) is explained. Ordered phases are also shown to be possible in principle in the weak transverse field limit, and are briefly studied.