Year: 2017
Type: article
Abstract: We use the Chern-Simons (CS) fermion representation of $s=1/2$ spin operators to construct topological, long-range magnetically ordered states of interacting two-dimensional (2D) quantum spin models. We show that the fermion-fermion interactions mediated by the dynamic CS flux attachment may give rise to Cooper pairing of the fermions. Specifically, in an $XY$ model on the honeycomb lattice, this construction leads to a ``CS superconductor'', which belongs to a topologically nontrivial in 2D symmetry class DIII, with particle-hole and time-reversal symmetries. It is shown that in the original spin language, this state corresponds to a symmetry protected topological state, which coexists with a magnetic long-range order. We discuss physical manifestations of the topological character of the corresponding state.
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: G2008463610, G222768804, G4357913612, NEW: THEORY OF FLUCTUATIONS IN SUPERCONDUCTORS; PI-VICTOR GALITSKIY, ELECTRON COHERENCE IN MESOSCOPIC STRUCTURES, Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics, ELECTRON COHERENCE AND INTERACTIONS IN NANOSTRUCTURES, G6808979818, G7039555113
OpenAlex ID: W2466763598