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Quantum criticality beyond the Landau paradigm represents a fundamentalproblem in condensed matter and statistical physics. Heavy fermion systems withmultipolar degrees of freedom can play an important role in the search for itsuniversal description. We consider a Kondo lattice model with both spin andquadrupole degrees of freedom, which we show to exhibit an antiferroquadrupolarphase. Using a field theoretical representation of the model, we find thatKondo couplings are exactly marginal in the renormalization group sense in thisphase. This contrasts with the relevant nature of the Kondo couplings in theparamagnetic phase and, as such, it implies that a Kondo destruction and aconcomitant small to large Fermi surface jump must occur as the system is tunedfrom the antiferroquadrupolar ordered to the paramagnetic phase. Implicationsof our results for multipolar heavy fermion physics in particular and metallicquantum criticality in general are discussed.

Kondo Destruction and Multipolar Order-- Implications for Heavy Fermion Quantum Criticality