Effective theory of Fermi pockets in fluctuating antiferromagnets

Abstract

We describe fluctuating two-dimensional metallic antiferromagnets by transforming to a rotating reference frame in which the electron spin polarization is measured by its projections along the local antiferromagnetic order. This leads to a gauge-theoretic description of an `algebraic charge liquid' involving spinless fermions and a spin S=1/2 complex scalar. We propose a phenomenological effective lattice Hamiltonian which describes the binding of these particles into gauge-neutral, electron-like excitations, and describe its implications for the electron spectral function across the entire Brillouin zone. We discuss connections of our results to photoemission experiments in the pseudogap regime of the cuprate superconductors.

28 pages, 8 figures

References in corpus (30)

• "Deconfined" quantum critical points
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Fractionalized Fermi liquids
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• A Phenomenological Theory of The Pseudogap State
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• On the stability of U(1) spin liquids in two dimensions
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Algebraic charge liquids
• Fluctuating spin density waves in metals
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Electronic Structure of Electron-doped Sm1.86Ce0.14CuO4: Strong `Pseudo-Gap' Effects, Nodeless Gap and Signatures of Short Range Order
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Electronic structure near the 1/8-anomaly in La-based cuprates
• Destruction of Neel order in the cuprates by electron-doping
• Quasiparticle Nernst effect in stripe-ordered cuprates
• Paired electron pockets in the hole-doped cuprates
• Spin-order driven Fermi surface revealed by quantum oscillations in an underdoped high Tc superconductor
• Signatures of Fermi surface reconstruction in Raman spectra of underdoped cuprates
• Dual vortex theory of doped Mott insulators

Cited by in corpus (76)

• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Frustration and quantum criticality
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• A quantum dimer model for the pseudogap metal
• Fermi surfaces and gauge-gravity duality
• Density-wave instabilities of fractionalized Fermi liquids
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice
• Higgs criticality in a two-dimensional metal
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Emergent gauge fields and the high temperature superconductors
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Geometric phases and competing orders in two dimensions
• The enigma of the pseudogap phase of the cuprate superconductors
• Spin density wave order, topological order, and Fermi surface reconstruction
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• The landscape of the Hubbard model
• Fractionalized Fermi Liquid in a Kondo-Heisenberg Model
• A Field Theory for Fermionic Ladder with Generic Intrachain Interactions
• The cuprate phase diagram and the influence of nanoscale inhomogeneities
• Confinement transition to density wave order in metallic doped spin liquids
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Quantum phase transitions of antiferromagnets and the cuprate superconductors
• Particle-hole Asymmetry in the Cuprate Pseudogap Measured with Time-Resolved Spectroscopy
• Superconductivity from a confinement transition out of a fractionalized Fermi liquid with ${\mathbb{Z}}_2$ topological and Ising-nematic orders
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Towards the Standard Model of Fermi Arcs from a Wilsonian Reduction of the Hubbard Model
• Effects of a particle-hole asymmetric pseudogap on Bogoliubov quasiparticles
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• A gauge approach to the "pseudogap" phenomenology of the spectral weight in high Tc cuprates
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
• Electron spectral functions in a quantum dimer model for topological metals
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Polaronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Quantum Oscillation as Diagnostics of Pseudogap State in Underdoped Cuprates
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Theory of the Lightly Doped Mott Insulator
• The number of holes contained within the Fermi surface volume in underdoped high temperature superconductors
• Influence of Thermal Fluctuations of Spin Density Wave Order Parameter on the Quasiparticle Spectral Function
• Crossover from Fermi Arc to Full Fermi Surface
• Designing Heterostructures with Higher Temperature Superconductivity
• Electrons interacting with Goldstone modes and the rotating frame
• Interpreting Angle Dependent Magnetoresistance in Layered Materials: Application to Cuprates
• Bond particle theory for the pseudogap phase of underdoped cuprates
• Fractionalized Fermi liquids and the cuprate phase diagram
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Itinerant-localized model of strongly correlated electrons: Fermi-surface reconstruction
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Spontaneous breaking of four-fold rotational symmetry in two-dimensional electron systems as a topological phase transition
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Yamaji effect in models of underdoped cuprates
• Yamaji effect and quantum oscillation in Yang-Rice-Zhang model of underdoped cuprates
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Electrical Conductivity in Quantum Materials