PIRSA:23120020

Models of deconfined criticality for square and triangular lattice antiferromagnets

Shackleton, H. (2023). Models of deconfined criticality for square and triangular lattice antiferromagnets. Perimeter Institute. https://pirsa.org/23120020

Shackleton, Henry. Models of deconfined criticality for square and triangular lattice antiferromagnets. Perimeter Institute, Dec. 04, 2023, https://pirsa.org/23120020 

          @misc{ pirsa_PIRSA:23120020,
            doi = {10.48660/23120020},
            url = {https://pirsa.org/23120020},
            author = {Shackleton, Henry},
            keywords = {Condensed Matter},
            language = {en},
            title = {Models of deconfined criticality for square and triangular lattice antiferromagnets},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {dec},
            note = {PIRSA:23120020 see, \url{https://pirsa.org}}
          }

Henry Shackleton

Harvard University

Talk number
PIRSA:23120020
Collection
Talk Type
Subject
Abstract

Frustrated quantum magnets provide a promising platform for realizing exotic phase transitions known as deconfined quantum critical points (DQCPs), where a conventional Landau-Ginzburg description fails and the resulting description involves emergent gauge fields. In the first part of my talk, I will propose a unified theory for describing a pair of continuous phase transitions numerically observed in the frustrated square lattice Heisenberg antiferromagnet, where a spin liquid phase appears to emerge in between Neel and valence bond solid (VBS) phases. The proposed DQCPs exhibit a plethora of unconventional phenomena, including anisotropic fixed points and dangerously irrelevant perturbations. In the second part of my talk, I will describe recent work analyzing an effective model of triangular lattice antiferromagnetism which supports coplanar magnetic order as well as VBS and spin liquid phases. We show that this effective model is sign-problem-free and amenable to large-scale Monte Carlo simulations, which reveal a direct transition between magnetic and VBS phases.

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Zoom link https://pitp.zoom.us/j/98562300020?pwd=OXYrL0dJTGkzNk5memlVM0tqY3hNQT09