Fractionalized fermionic quantum criticality in spin-orbital Mott insulators

Abstract

We study transitions between topological phases featuring emergent fractionalized excitations in two-dimensional models for Mott insulators with spin and orbital degrees of freedom. The models realize fermionic quantum critical points in fractionalized Gross-Neveu${}^{\ast }$ universality classes in (2+1) dimensions. They are characterized by the same set of critical exponents as their ordinary Gross-Neveu counterparts, but feature a different energy spectrum, reflecting the nontrivial topology of the adjacent phases. We exemplify this in a square-lattice model, for which an exact mapping to a $t$-$V$ model of spinless fermions allows us to make use of large-scale numerical results, as well as in a honeycomb-lattice model, for which we employ $\epsilon$-expansion and large-$N$ methods to estimate the critical behavior. Our results are potentially relevant for Mott insulators with $d^1$ electronic configurations and strong spin-orbit coupling, or for twisted bilayer structures of Kitaev materials.

6+6 pages, 2+3 figures; v3 (minor changes, discussion on strong-coupling limit)

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• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Order Fractionalization in a Kitaev-Kondo model
• Metallic and Deconfined Quantum Criticality in Dirac Systems
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Kitaev spin-orbital bilayers and their moiré superlattices
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Critical properties of metallic and deconfined quantum phase transitions in Dirac systems
• Twist-tuned quantum criticality in moiré bilayer graphene
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder
• Direct evidence of intrinsic Mott state and its layer-parity oscillation in a breathing kagome crystal down to monolayer
• Breakdown of order-fractionalization in the CPT model
• Unconventional Gross-Neveu quantum criticality: Interaction-induced SO(3)-biadjoint insulator and emergent SU(3) symmetry
• Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO($n$) spin chains
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Magnetic order through Kondo coupling to quantum spin liquids
• Gross-Neveu-Yukawa SO(2) and SO(3) tensorial criticality
• Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Exotic magnetic anisotropy near digitized dimensional Mott boundary
• Critical structure and emergent symmetry of Dirac fermion systems
• Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model