Motivated by experimental observations, Samajdar et al. [Nat. Phys. 15, 1290 (2019), 10.1038/s41567-019-0669-3] have proposed that the insulating Néel state in the parent compounds of the cuprates is proximate to a quantum phase transition to a state in which Néel order coexists with semion topological order. We study the manner in which proximity to this transition can make the phonons chiral, by inducing a significant phonon Hall viscosity. We describe the spinon-phonon coupling in a lattice spinon model coupled to a strain field, and also using a general continuum theory constrained only by symmetry. We find a nonanalytic Hall viscosity across the transition, with a divergent second derivative at zero temperature.
Physical Review B
- Pub Date:
- July 2021
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Superconductivity
- 21 pages, 7 figures