PIRSA:13020127

Looking for spinon deconfinement in two dimensions

Tang, Y. (2013). Looking for spinon deconfinement in two dimensions. Perimeter Institute. https://pirsa.org/13020127

Tang, Ying. Looking for spinon deconfinement in two dimensions. Perimeter Institute, Feb. 05, 2013, https://pirsa.org/13020127 

          @misc{ pirsa_PIRSA:13020127,
            doi = {10.48660/13020127},
            url = {https://pirsa.org/13020127},
            author = {Tang, Ying},
            keywords = {Condensed Matter},
            language = {en},
            title = {Looking for spinon deconfinement in two dimensions},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {feb},
            note = {PIRSA:13020127 see, \url{https://pirsa.org}}
          }

Ying Tang

Boston College

Talk number
PIRSA:13020127
Collection
Talk Type
Subject
Abstract
We have used a recently proposed quantum Monte Carlo algorithm [1] to study spinons (emergent S = 1/2 excitations) in 2D Resonating-Valence-Bond (RVB) spin liquids and in a J-Q model hosting a Neel – Valence Bond Solid (VBS) phase transition at zero temperature [2]. We confirm that spinons are well defined quasi-particles with finite intrinsic size in the RVB spin liquid. The distance distribution between two spinons shows signatures of deconfinement.
However, at the Neel–VBS transition, we found that the size of a single spinon is significantly greater than the bound-state in VBS, which indicates that spinons are “soft” and shrink when bound state is formed. Both spinon size and confinement length diverge as the critical point is approached. We have also compared spinon statistics in J-Q model with bilayer Heisenberg model and 1D spin chain. We conclude that the spinon deconfinement is marginal in the lowest-energy state in the spin-1 sector, due to very weak attractive spinon interactions. Deconfinement in the vicinity of the critical point should occur at higher energies.