Quantum Criticality in Quasi-Two Dimensional Itinerant Antiferromagnets

Abstract

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying linearly with temperature and a contribution to specific heat or thermopower proportional to $T\ln T$. It is shown here that a generic model of itinerant AFM can be canonically transformed such that its critical fluctuations around the AFM-vector $Q$ can be obtained from the fluctuations in the long wave-length limit of a dissipative quantum XY model. The fluctuations of the dissipative quantum XY model in 2D have been evaluated recently and in a large regime of parameters, they are determined, not by renormalized spin-fluctuations but by topological excitations. In this regime, the fluctuations are separable in their spatial and temporal dependence and have a dynamical critical exponent $z=\infty .$ The time dependence gives $\omega /T$-scaling at criticality. The observed resistivity and entropy then follow directly. Several predictions to test the theory are also given.

A supplementary section providing the derivation of the marginal fermi liquid single particle self energy is given and some other improvements made

References in corpus (12)

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• Magnetically driven superconductivity in CeCu2Si2
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• Quasi-Local Strange Metal
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• Scaling and Enhanced Symmetry at the Quantum Critical Point of the Sub-Ohmic Bose-Fermi Kondo Model
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Cited by in corpus (23)

• Linear in Temperature Resistivity and Associated Mysteries
• Monte Carlo Studies of Quantum Critical Metals
• Competing Orders in a Nearly Antiferromagnetic Metal
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Quantum critical properties of a metallic spin density wave transition
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Anisotropic Non-Fermi Liquids
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Quantum criticality in the two-dimensional dissipative quantum XY model-II
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Phase diagram and quantum-criticality of the two dimensional dissipative quantum XY model
• Quantum critical response function in quasi-two dimensional itinerant antiferromagnets
• Specific Heat of a Quantum Critical Metal
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Space of non-Fermi liquids
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Weakly damped bosons and precursor gap in the vicinity of an antiferromagnetic metallic transition
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Quantum-critical transport in marginal Fermi liquids
• Semi-phenomenological analysis of neutron scattering results for quasi-two dimensional quantum anti-ferromagnet
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals
• Enhancement of Superconductivity Linked with Linear-in-Temperature/Field Resistivity in Ion-Gated FeSe Films