2019/05/12 by Ki-Seok Kim, Ki‐Seok Kim, Yuji Hirono
Mathematics · Physics and Astronomy · #Boson #Condensed matter physics #Cuprate #Discrete mathematics #Duality (order theory) #Geometry #Homogeneous space #Massless particle #Mathematics #Mott insulator #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #cond-mat.str-el #cond-mat.supr-con #hep-th
paper · pdf · doi:10.1103/physrevb.100.085142
published as Phys. Rev. B 100, 085142 (2019)
arxiv created 2019/05/12 · openalex created_date 2019/05/16 · openalex publication_date 2019/08/27 · arxiv updated 2019/09/04 · openalex updated_date 2026/08/05
One path to high-temperature cuprate superconductors is doping a Mott insulator. In this paper, we study this system from the view point of higher-form symmetries. On the introduction of slave bosons, the t\ensuremath-J model at a finite hole doping can be written in the form of U(1) gauge theories. After a duality transformation, they can be written as a generalized BF theory, in which the higher-form symmetries are more manifest. We identify the emergent continuous and discrete higher-form symmetries in both s-wave and d-wave superconducting phases, expected to be realized from a doped Mott insulator. The existence of a topological order is tested by examining if there is a spontaneously broken discrete one-form symmetry. We claim that a spontaneous breaking of discrete one-form symmetry may extend to a phase that has massless Dirac fermions in the limit of large number of flavors. We discuss the possibility of a topological phase transition inside the superconducting dome of high-Tc cuprates.