Exactly solvable model for a deconfined quantum critical point in 1D

PIRSA ID: 22110102
Série : Quantum Matter
Event Type: Seminar
Domaine(s) scientifique(s) :
Quantum Matter
Date de fin :
Speaker(s):
  • Carolyn Zhang, University of Chicago
November 28, 2022 at 3:00 PM Bob Room

We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely at the edge of a (2+1) dimensional bosonic symmetry protected topological phase (SPT) with ℤ2×ℤ2 symmetry. The DQCP describes a transition between two gapped edges that break different ℤ2 subgroups of the full ℤ2×ℤ2 symmetry. Our construction is based on an exact mapping between the SPT edge theory and a ℤ4 spin chain. This mapping reveals that DQCPs in this system are directly related to ordinary ℤ4 symmetry breaking critical points. Based on arXiv:2206.01222.

Zoom link:  https://pitp.zoom.us/j/93794543360?pwd=Y3lidGZhRFNrUjEyMVpaNEgwTnE3QT09