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.

Quantum Criticality on a Compressible Lattice