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.
For an isotropic system the two princi- pal shear moduli are equal,µ=C 44 = (C11 −C 12)/2 and the bulk modulus can be written asK 0 = (C11+2C12)/3; the stiffnessρ 0 defined in Eq
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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.