Spin density wave order, topological order, and Fermi surface reconstruction

Abstract

In the conventional theory of density wave ordering in metals, the onset of spin density wave (SDW) order co-incides with the reconstruction of the Fermi surfaces into small 'pockets'. We present models which display this transition, while also displaying an alternative route between these phases via an intermediate phase with topological order, no broken symmetry, and pocket Fermi surfaces. The models involve coupling emergent gauge fields to a fractionalized SDW order, but retain the canonical electron operator in the underlying Hamiltonian. We establish an intimate connection between the suppression of certain defects in the SDW order, and the presence of Fermi surface sizes distinct from the Luttinger value in Fermi liquids. We discuss the relevance of such models to the physics of the hole-doped cuprates near optimal doping.

32 pages, 3 figures; (v2) 33 pages, 4 figures, added figure, clarifications and references

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Cited by in corpus (21)

• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high-Tc superconductor
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Topological order in the pseudogap metal
• Dynamical charge density waves rule the phase diagram of cuprates
• Gauge theory for the cuprates near optimal doping
• Charge order at high temperature in cuprate superconductors
• Cavity magnon-polaritons in cuprate parent compounds
• Dynamical Generation of Topological Masses in Dirac Fermions
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• The Hall number across a van Hove singularity
• Insulators and metals with topological order and discrete symmetry breaking
• Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Strange metal from incoherent bosons
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Single-Particle Dispersion and Density of States of the Half-Filled 2D Hubbard Model
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Carrier dynamics in doped bilayer iridates near magnetic quantum criticality