Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order

By M. Metlitski, S. Sachdev. 2010

295 citations recorded by the source corpus.

We present a field-theoretic renormalization group analysis of Abanov and Chubukov’s model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a local field theory and argue that the damping constant of spin density wave fluctuations tracks the renormalization of the local couplings. The divergences at two-loop order overdetermine the renormalization constants and are shown to be consistent with our renormalization scheme. We describe the physical consequences of our renormalization-group equations, including the breakdown of Fermi liquid behavior near the “hot spots” on the Fermi surface. In particular, we find that the dynamical critical exponent z receives corrections to its mean-field value z=2. At higher orders in the loop expansion, we find infrared singularities similar to those found by Lee Phys. Rev. B 80, 165102 2009 for the problem of a Fermi surface coupled to a gauge field. A treatment of these singularities implies that an expansion in 1 / N where N is the number of fermion flavors fails for the present problem. We also discuss the renormalization of the pairing vertex and find an enhancement which scales as logarithm squared of the energy scale. A similar enhancement is also found for a modulated bond order which is locally an Ising-nematic order.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/5f1c5ae5dc74e9e6a817d38a9703f160298c740d

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Theory of universal incoherent metallic transport (2014, background): “Strong microscopic momentum relaxation can appear in low energy effective descriptions as an emergent particle hole symmetry, with χJP = 0 in the effective description, as in [21, 22, 23, 24].”
Functional renormalization group approach to correlated fermion systems (2011, methodology): “The Hertz-Millis approach was also shown to be invalid for the quantum antiferromagnetic transition in two dimensions (Abanov and Chubukov, 2004; Abanov et al., 2003; Metlitski and Sachdev, 2010a).”
What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “Many recent studies [24, 38–43] have emphasized the strong-coupling nature of the theory of non-Fermi liquids in two spatial dimensions (D = 3), and noted that important questions remain unresolved.”
Electron stars for holographic metallic criticality (2010, unknown): “[2, 3, 4], as it ignores an infinite number of nonlocal marginal couplings in the effective theory for the boson.”