Emergence of localized magnetic moments near antiferromagnetic quantum criticality

Abstract

We revisit an antiferromagnetic quantum phase transition with $\mathbf{Q}=2{\mathbf{k}}_F$, where $\mathbf{Q}$ is an ordering wave vector and ${\mathbf{k}}_F$ is a Fermi momentum. Reformulating the Hertz-Moriya-Millis theory within the strong coupling approach to diagonalize the spin-fermion coupling term and performing the scaling analysis for an effective field theory with quantum corrections in the Eliashberg approximation, we propose a novel interacting fixed point for this antiferromagnetic quantum phase transition, where antiferromagnetic spin fluctuations become locally critical to interact with renormalized electrons. The emergence of local quantum criticality suggests a mechanism of $\omega /T$ scaling for antiferromagnetic quantum criticality, generally forbidden in the context of the Hertz-Moriya-Millis theory.

arXiv commentCompletely rewritten

References in corpus (17)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Locally critical quantum phase transitions in strongly correlated metals
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the low energy properies of fermions with singular interactions
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• First order transitions and multicritical points in weak itinerant ferromagnets
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Fermi liquid near Pomeranchuk quantum criticality
• Spin conservation and Fermi liquid near a ferromagnetic quantum critical point
• Nature of the Quantum Phase Transition in Clean, Itinerant Heisenberg Ferromagnets
• On the spin density wave transition in a two dimensional spin liquid
• Nonlinear Sigma Model Analysis of the AFM Phase Transition of the Kondo Lattice
• Luttinger-Ward functional approach in the Eliashberg framework : A systematic derivation of scaling for thermodynamics near a quantum critical point
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Stoner instability revisited: Emergence of local quantum criticality?