Fluctuating spin density waves in metals

Abstract

Recent work has used a U(1) gauge theory to describe the physics of Fermi pockets in the presence of fluctuating spin density wave order. We generalize this theory to an arbitrary band structure and ordering wavevector. The transition to the large Fermi surface state, without pockets induced by local spin density wave order, is described by embedding the U(1) gauge theory in a SU(2) gauge theory. The phase diagram of the SU(2) gauge theory shows that the onset of spin density wave order in the Fermi liquid occurs either directly, in the framework discussed by Hertz, or via intermediate non-Fermi liquid phases with Fermi surfaces of fractionalized excitations. We discuss application of our results to the phase diagram of the cuprates.

15 pages, 2 figures; (v2) Improved figures

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• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
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• A critical strange metal from fluctuating gauge fields in a solvable random model
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
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• Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal
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• Gauge Theories for the Thermal Hall Effect
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• Quantum phase transitions of antiferromagnets and the cuprate superconductors
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• Anisotropy in the Magnetoresistance Scaling of BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Quantum Hall spin liquids and their possible realization in moiré systems
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• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
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• Pairing Instabilities of the Yukawa-SYK Models with Controlled Fermion Incoherence
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
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• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Antiferromagnetic and spin spiral correlations in the doped two-dimensional Hubbard model: gauge symmetry, Ward identities, and dynamical mean-field theory analysis
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• Odd frequency pairing in a quantum critical metal
• Influence of Thermal Fluctuations of Spin Density Wave Order Parameter on the Quasiparticle Spectral Function
• de Haas-van Alphen oscillations for non-relativistic fermions coupled to an emergent U(1) gauge field
• Fractionalized Fermi liquids and the cuprate phase diagram
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• The dynamically induced Fermi arcs and Fermi pockets in two dimensions: a model for underdoped cuprates
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