2004/10/31 by Claudio Castelnovo, Claudio Chamon, Christopher Mudry +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antiferromagnetism #Condensed matter physics #Ferromagnetism #Geometry #Ground state #Line (geometry) #Mathematics #Phase (matter) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Spin (aerodynamics) #Spin representation #Theoretical and Computational Physics #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.72.104405
published as Phys. Rev. B 72, 104405 (2005) (7 pages) · (6 pages, 6 figures) - revised and expanded with additional explanatory paragraphs; published version
openalex publication_date 2005/09/02 · arxiv created 2005/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct a quantum extension of the (classical) three-coloring model introduced by Baxter [J. Math. Phys. 11, 784 (1970)] for which the ground state can be computed exactly along a continuous line of Rokhsar-Kivelson solvable points. The quantum model, which admits a local spin representation, displays at least three different phases; an antiferromagnetic phase, a line of quantum critical points, and a ferromagnetic phase. We argue that, in the ferromagnetic phase, the system cannot reach dynamically the quantum ground state when coupled to a bath through local interactions, and thus lingers in a state of quantum glassiness.