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Article overview
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Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions | | Francisco Borges
; Anton Borissov
; Ashutosh Singh
; Andres Schlief
; Sung-Sik Lee
; | | Date: |
1 Aug 2022 | | Abstract: | To capture the universal low-energy physics of metals within effective field
theories, one has to generalize the usual notion of scale invariance and
renormalizable field theory due to the presence of intrinsic scales (Fermi
momenta). In this paper, we develop a field-theoretic functional
renormalization group formalism for full low-energy effective field theories of
non-Fermi liquids that include all gapless modes around the Fermi surface. The
formalism is applied to the non-Fermi liquid that arises at the
antiferromagnetic quantum critical point in two space dimensions. In the space
of coupling functions, an interacting fixed point arises at a point with
momentum-independent couplings and vanishing nesting angle. In theories
deformed with non-zero nesting angles, coupling functions acquire universal
momentum profiles controlled by the bare nesting angles at low energies before
flowing to superconducting states in the low-energy limit. The superconducting
instability is unavoidable because lukewarm electrons that are coherent enough
to be susceptible to pairing end up being subject to a renormalized attractive
interaction with its minimum strength set by the nesting angle. Despite the
inevitable superconducting instability, theories with small bare nesting angles
and bare four-fermion couplings that are repulsive or weakly attractive must
pass through the region with slow RG flow due to the proximity to the non-Fermi
liquid fixed point. The bottleneck region controls the scaling behaviours of
the normal state and the quasi-universal pathway from the non-Fermi liquid to
superconductivity. In the limit that the nesting angle is small, the non-Fermi
liquid scaling dictates the physics over a large window of energy scale above
the superconducting transition temperature. | | Source: | arXiv, 2208.00730 | | Services: | Forum | Review | PDF | Favorites | |
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