Hole dynamics in an antiferromagnet across a deconfined quantum critical point

Abstract

We study the effects of a small density of holes, delta, on a square lattice antiferromagnet undergoing a continuous transition from a Neel state to a valence bond solid at a deconfined quantum critical point. We argue that at non-zero delta, it is likely that the critical point broadens into a non-Fermi liquid `holon metal' phase with fractionalized excitations. The holon metal phase is flanked on both sides by Fermi liquid states with Fermi surfaces enclosing the usual Luttinger area. However the electronic quasiparticles carry distinct quantum numbers in the two Fermi liquid phases, and consequently the limit of the ratio A_F/delta, as delta tends to zero (where A_F is the area of a hole pocket) has a factor of 2 discontinuity across the quantum critical point of the insulator. We demonstrate that the electronic spectrum at this transition is described by the `boundary' critical theory of an impurity coupled to a 2+1 dimensional conformal field theory. We compute the finite temperature quantum-critical electronic spectra and show that they resemble "Fermi arc" spectra seen in recent photoemission experiments on the pseudogap phase of the cuprates.

arXiv comment33 pages, 8 figures, Longer version of cond-mat/0611536, with additional results for electron spectrum at non-zero temperature

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Cited by in corpus (58)

• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Modeling the Fermi arc in underdoped cuprates
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Algebraic charge liquids
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Fluctuating spin density waves in metals
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• A quantum dimer model for the pseudogap metal
• Density-wave instabilities of fractionalized Fermi liquids
• Gapless superconductivity and the Fermi arc in the cuprates
• A synthesis of the phenomenology of the underdoped cuprates
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• A controlled expansion for certain non-Fermi liquid metals
• Destruction of Neel order in the cuprates by electron-doping
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Paired electron pockets in the hole-doped cuprates
• Higgs criticality in a two-dimensional metal
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Emergent gauge fields and the high temperature superconductors
• Insulator-metal transition on the triangular lattice
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• Spin density wave order, topological order, and Fermi surface reconstruction
• The enigma of the pseudogap phase of the cuprate superconductors
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Insulators and metals with topological order and discrete symmetry breaking
• The landscape of the Hubbard model
• Confinement transition to density wave order in metallic doped spin liquids
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Superconductivity from a confinement transition out of a fractionalized Fermi liquid with ${\mathbb{Z}}_2$ topological and Ising-nematic orders
• s-wave Cooper pair insulators and theory of correlated superconductors
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\mathrm{c}}$ superconductors
• Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
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• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Matter fields near quantum critical point in (2+1)-dimensional U(1) gauge theory
• Observation of the Yamaji effect in a cuprate superconductor
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Single-Particle Dispersion and Density of States of the Half-Filled 2D Hubbard Model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Lattice models for non-Fermi liquid metals
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Spin-Peierls instability of deconfined quantum critical points
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Nonequilibrium probe of paired electron pockets in the underdoped cuprates
• Yamaji effect in models of underdoped cuprates