Kavli Affiliate: Shenghan Jiang

| First 5 Authors: Brenden Roberts, Shenghan Jiang, Olexei I. Motrunich, ,

| Summary:

We perform a numerical study of a spin-1/2 model with $mathbb{Z}_2 times

mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting

similarity to the physics of two-dimensional deconfined quantum critical points

(DQCP). Specifically, we investigate the quantum phase transition between Ising

ferromagnetic and valence bond solid (VBS) symmetry-breaking phases. Working

directly in the thermodynamic limit using uniform matrix product states, we

find evidence for a direct continuous phase transition that lies outside of the

Landau-Ginzburg-Wilson paradigm. In our model, the continuous transition is

found everywhere on the phase boundary. We find that the magnetic and VBS

correlations show very close power law exponents, which is expected from the

self-duality of the parton description of this DQCP. Critical exponents vary

continuously along the phase boundary in a manner consistent with the

predictions of the field theory for this transition. We also find a regime

where the phase boundary splits, as suggested by the theory, introducing an

intermediate phase of coexisting ferromagnetic and VBS order parameters.

Interestingly, we discover a transition involving this coexistence phase which

is similar to the DQCP, being also disallowed by Landau-Ginzburg-Wilson

symmetry-breaking theory.

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