1997/09/30 by Marvin Weinstein
Mathematics · Physics and Astronomy · #Class (philosophy) #Combinatorics #Computer science #Conjecture #Core (optical fiber) #Dimension (graph theory) #Epistemology #Fermion #Gauge theory #Lattice (music) #Mathematical physics #Mathematics #Philosophy #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization group #Space (punctuation) #Spin (aerodynamics) #Theoretical physics #cond-mat #hep-lat
paper · pdf · doi:10.1016/s0920-5632(97)00864-5
published in Nuclear Physics B - Proceedings Supplements 63(1-3), 661-663 (Elsevier BV) · 3 pages, 1 figure, Latex, requires espcrc2.sty. Talk presented at Lattice97, Edinburgh, 22-26 July 1997
arxiv created 1997/09/30 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The COntractor REnormalization group method (CORE), originally developed for application to lattice gauge theories, is very well adapted the study of spin systems and systems with fermions. As an warmup exercise for studying Hubbard models this method is applied to spin-1/2 and spin-1 anti-ferromagnets in one space dimension in order to see if it is able to explain the physics of the Haldane conjecture. The method not only provides support for Haldane's conjecture but provides insight into the physics of a more general class of spin-1 systems with Hamiltonians of the form H= ∑j s(j)⋅s(j+1) - β(s(j)⋅s(j+1))2 about which, until now, little was known.