Using FRG with fixed volume, the work recovers constrained Ising fixed points and shows that renormalized Ising and spherical fixed points yield a negative anomalous dimension for strain, implying non-analytic corrections to Hooke's law while Ising criticality is preempted by bulk instability.
Aharony,Critical Behavior of Magnets with Lattice Coupling, Phys
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Functional renormalization group approach to phonon modified criticality: anomalous dimension of strain and non-analytic corrections to Hooke's law
Using FRG with fixed volume, the work recovers constrained Ising fixed points and shows that renormalized Ising and spherical fixed points yield a negative anomalous dimension for strain, implying non-analytic corrections to Hooke's law while Ising criticality is preempted by bulk instability.