Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal

Abstract

We propose a general theoretical framework, using two layers of ancilla qubits, for deconfined criticality between a Fermi liquid with a large Fermi surface, and a pseudogap metal with a small Fermi surface of electron-like quasiparticles. The pseudogap metal can be a magnetically ordered metal, or a fractionalized Fermi liquid (FL*) without magnetic order. A critical 'ghost' Fermi surface emerges (alongside the large electron Fermi surface) at the transition, with the ghost fermions carrying neither spin nor charge, but minimally coupled to $(U(1)\times U(1))/Z_2$ or $(SU(2)\times U(1))/Z_2$ gauge fields. The $(U(1)\times U(1))/Z_2$ case describes simultaneous Kondo breakdown and onset of magnetic order: the two gauge fields induce nearly equal attractive and repulsive interactions between ghost Fermi surface excitations, and this competition controls the quantum criticality. Away from the transition on the pseudogap side, the ghost Fermi surface absorbs part of the large electron Fermi surface, and leads to a jump in the Hall co-efficient. We also find an example of an "unnecessary quantum critical point" between a metal with spin density wave order, and a metal with local moment magnetic order. The ghost fermions contribute an enhanced specific heat near the transition, and could also be detected in other thermal probes. We relate our results to the phases of correlated electron compounds.

42 pages one column; 6 figures; (v2) added references and discussions in the conclusions; (v3) significant changes in theory of quantum criticality; (v4) final version for PRB

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• Fermi-liquid instabilities at magnetic quantum phase transitions
• "Deconfined" quantum critical points
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• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Quantum criticality
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• Fractionalized Fermi liquids
• A Phenomenological Theory of The Pseudogap State
• Are non-Fermi-liquids stable to Cooper pairing?
• Theory of a continuous Mott transition in two dimensions
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Phonons become chiral in the pseudogap phase of cuprates
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• Fermi surface transformation at the pseudogap critical point of a cuprate superconductor
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• Quantum phase transitions out of the heavy Fermi liquid
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Destruction of Neel order in the cuprates by electron-doping
• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• Higgs criticality in a two-dimensional metal
• Non-commutative field theory and composite Fermi Liquids in some quantum Hall systems
• Majorana liquids: the complete fractionalization of the electron
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Deconfined metallic quantum criticality: A $U(2)$ gauge-theoretic approach
• Deconfined Metal-Insulator Transitions in Quantum Hall Bilayers
• Bilocal quantum criticality

Cited by in corpus (26)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Large $N$ theory of critical Fermi surfaces
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Fermi Surface Symmetric Mass Generation
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Ultraviolet-Infrared Mixing in Marginal Fermi Liquids
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
• Definition and Classification of Fermi Surface Anomalies
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• Continuous Wigner-Mott transition at $\nu =1/5$
• Fractional Fermi liquid in a generalized $t-J$ model
• Vortex structure in a $d$-wave superconductor obtained by a confinement transition from the pseudogap metal
• Spin-Peierls instability of deconfined quantum critical points
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Generalizing the composite fermion theory for fractional Chern insulators