2003/12/31 by Cenke Xu, Joel E. Moore
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Boson #Combinatorics #Duality (order theory) #Ising model #Lattice (music) #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Square lattice #Superconductivity #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.93.047003
published as Phys. Rev. Lett. 93, 047003 (2004) · 4 pages
arxiv created 2004/06/25 · openalex publication_date 2004/07/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The 2D quantum phase transition that occurs in a square lattice of Josephson-coupled p +/- ip superconductors is an example of how four-body interactions in d = 2 reproduce nonperturbative effects caused by two-body interactions in d = 1. The ordered phase has an unconventional "bond order" of the local T-breaking variable. This problem can be analyzed using an exact self-duality; this duality in classical notation is the 3D generalization of the Kramers-Wannier duality of the 2D Ising model, and there are similar exact dualities in dimensions d > or = 3. We discuss the excitation spectrum and experimental signatures of the ordered and disordered phases, and the relationship between our model and previously studied behavior of 2D boson models with four-boson interactions.