Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals

Abstract

We present a functional renormalization group analysis of a quantum critical point in two-dimensional metals involving Fermi surface reconstruction due to the onset of spin-density wave order. Its critical theory is controlled by a fixed point in which the order parameter and fermionic quasiparticles are strongly coupled and acquire spectral functions with a common dynamic critical exponent. We obtain results for critical exponents and for the variation in the quasiparticle spectral weight around the Fermi surface. Our analysis is implemented on a two-band variant of the spin-fermion model which will allow comparison with sign-problem-free quantum Monte Carlo simulations.

9 pages, 7 figures

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Cited by in corpus (25)

• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Quasi-Local Strange Metal
• Quantum critical properties of a metallic spin density wave transition
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
• Higgs criticality in a two-dimensional metal
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Spin density wave order, topological order, and Fermi surface reconstruction
• Self-energy effects in functional renormalization group flows of the two-dimensional $t$-$t^{\prime }$ Hubbard model away from van Hove filling
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
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