Monte Carlo study of thermal SU(2) gauge theory with Higgs boson reconciles Fermi arcs and p/8 hole pockets while describing intertwined orders and d-wave superconductivity at lower temperatures.
Topological Enrichment of Luttinger's Theorem
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We establish a generalization of Luttinger's theorem that applies to fractionalized Fermi liquids, i.e. Fermi liquids coexisting with symmetry enriched topological order. We find that, in the linear relation between the Fermi volume and the density of fermions, the contribution of the density is changed by the filling fraction associated with the topologically ordered sector, which is determined by how the symmetries fractionalize. Conversely, this places constraints on the allowed symmetry enriched topological orders that can manifest in a fractionalized Fermi liquid with a given Fermi volume and density of fermions.
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The model has a hybridized phase where spin-liquid Majorana fermions and conduction electrons form a common small Fermi surface violating the Luttinger count, with momentum-dependent coherence factors that produce Fermi arcs.
Inelastic neutron scattering on CeCoIn5 shows spin excitations consistent with fractionalized spinons coexisting with d-wave superconductivity near a quantum critical point.
Identifies a relationship between the Kondo lattice model and the ancilla layer Hubbard model as a microscopic realization of the fractionalized Fermi liquid.
Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.
The review summarizes Lieb-Schultz-Mattis anomalies and anomaly matching, starting from spin chains and extending to higher dimensions, disordered systems, fermionic systems, and symmetry-protected topological phases.
citing papers explorer
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Thermal SU(2) lattice gauge theory for intertwined orders and hole pockets in the cuprates
Monte Carlo study of thermal SU(2) gauge theory with Higgs boson reconciles Fermi arcs and p/8 hole pockets while describing intertwined orders and d-wave superconductivity at lower temperatures.
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Tractable model for a fractionalized Fermi liquid (FL$^*$) on a square lattice
The model has a hybridized phase where spin-liquid Majorana fermions and conduction electrons form a common small Fermi surface violating the Luttinger count, with momentum-dependent coherence factors that produce Fermi arcs.
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Superconductivity and fractionalized magnetic excitations in CeCoIn5
Inelastic neutron scattering on CeCoIn5 shows spin excitations consistent with fractionalized spinons coexisting with d-wave superconductivity near a quantum critical point.
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A microscopic model of fractionalized Fermi liquid
Identifies a relationship between the Kondo lattice model and the ancilla layer Hubbard model as a microscopic realization of the fractionalized Fermi liquid.
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Fractionalized Fermi liquids and the cuprate phase diagram
Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.
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Lieb-Schultz-Mattis Anomalies and Anomaly Matching
The review summarizes Lieb-Schultz-Mattis anomalies and anomaly matching, starting from spin chains and extending to higher dimensions, disordered systems, fermionic systems, and symmetry-protected topological phases.
- Lectures on insulating and conducting quantum spin liquids