Quantum Criticality on a Compressible Lattice

Explore quantum criticality on a compressible lattice through a comprehensive lecture focusing on the Lorentz invariant Φ4 theory with an N-component field Φ. Delve into the study of strain coupling to the square of the order parameter in three spatial dimensions, where both this coupling and the self-interaction of the Φ field are marginal at tree-level. Examine the one-loop renormalization group equations, treating the Φ field and phonons equally. Discover how the velocities of the Φ field and phonons are renormalized, resulting in an effective dynamical exponent Z≠1. Investigate the renormalization group flow's dependence on the number of components N, including run-away flow for N≠4 and the emergence of a new fixed point for N=4. Compare these findings to known results in classical criticality and understand their relevance to insulating quantum critical antiferromagnets. This one-hour talk, presented by Saheli Sarkar from Brookhaven National Laboratory, USA, at the Dublin Institute for Advanced Studies (DIAS), offers valuable insights into quantum criticality on compressible lattices.