PIRSA:12110087

Dyon condensation in topological Mott insulators

Cho, G.Y. (2012). Dyon condensation in topological Mott insulators. Perimeter Institute. https://pirsa.org/12110087

Cho, Gil Young. Dyon condensation in topological Mott insulators. Perimeter Institute, Nov. 28, 2012, https://pirsa.org/12110087 

          @misc{ pirsa_PIRSA:12110087,
            doi = {10.48660/12110087},
            url = {https://pirsa.org/12110087},
            author = {Cho, Gil Young},
            keywords = {Condensed Matter},
            language = {en},
            title = {Dyon condensation in topological Mott insulators},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {nov},
            note = {PIRSA:12110087 see, \url{https://pirsa.org}}
          }

Gil Young Cho Pohang University of Science and Technology

DOI 10.48660/12110087
Collection
Talk Type Scientific Series
Subject

Abstract

We consider quantum phase transitions out of topological Mott insulators in which the ground state of the fractionalized excitations (fermionic spinons) is topologically non-trivial. The spinons in topological Mott insulators are coupled to an emergent compact U(1) gauge field with a so-called "axion" term. We study the confinement transitions from the topological Mott insulator to broken symmetry phases, which may occur via the condensation of dyons. Dyons carry both "electric" and "magnetic" charges, and arise naturally in this system because the monopoles of the emergent U(1) gauge theory acquires gauge charge due to the axion term. It is shown that the dyon condensate, in general, induces simultaneous current and bond orders. When the magnetic transition is driven by dyon condensation, we identify the bond order as valence bond solid order and the current order as scalar spin chirality order. Hence, the confined phase of the topological Mott insulator is an exotic phase where the scalar spin chirality and the valence bond order coexist and appear via a single transition.   If time allows, I will also discuss our recent work on the proximate symmetry-broken phases of Z2 spin liquid on Kagome lattice.