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.

arXiv comment6+6 pages, 2+3 figures; v3 (minor changes, discussion on strong-coupling limit)

References in corpus (100)

• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group in the age of matrix product states
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Entanglement spectrum of a topological phase in one dimension
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Topological phases of fermions in one dimension
• Classifying quantum phases using Matrix Product States and PEPS
• Symmetry Protected Topological phases of Quantum Matter
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Topological Superconductivity in Twisted Multilayer Graphene
• The Flux-Phase of the Half-Filled Band
• Deconfined quantum critical points: symmetries and dualities
• Theory of interacting electrons on the honeycomb lattice
• Are non-Fermi-liquids stable to Cooper pairing?
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Quantum criticality with two length scales
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Theory of a continuous Mott transition in two dimensions
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Relativistic Mott criticality in graphene
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Asymptotic safety: a simple example
• Bootstrapping 3D Fermions
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
• Algebraic spin liquid in an exactly solvable spin model
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Frustration and quantum criticality
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Heisenberg-Kitaev physics in magnetic fields
• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
• Microscopic models for Kitaev's sixteenfold way of anyon theories
• Kitaev Materials
• Bootstrapping 3D Fermions with Global Symmetries
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Universal Signatures of Fractionalized Quantum Critical Points
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• New Fermionic Description of Quantum S = 1/2 Antiferromargnet
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Quantum critical behavior in three dimensional lattice Gross-Neveu models
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Thermal Ising transitions in the vicinity of two-dimensional quantum critical points
• Critical behavior of Dirac fermions from perturbative renormalization
• Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• A simple fermionic model of deconfined phases and phase transitions
• Four loop renormalization of the Gross-Neveu model
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
• Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Ising and Gross-Neveu model in next-to-leading order
• Spin-Orbit Dimers and Non-Collinear Phases in $d^1$ Cubic Double Perovskites
• Quasi-Topological Phases of Matter and Topological Protection
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Multi-meson Yukawa interactions at criticality
• Fermion bag approach to Hamiltonian lattice field theories in continuous time
• Flat band in twisted bilayer Bravais lattices
• Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Chiral spin-orbital liquids with nodal lines
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• On the flux phase conjecture at half-filling: an improved proof
• Designer Monte Carlo Simulation for Gross-Neveu Transition
• Unconventional Quantum Critical Points
• Neel order, quantum spin liquids and quantum criticality in two dimensions
• Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal
• Deconfined criticality in the QED${}_3$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited
• Dynamical Generation of Topological Masses in Dirac Fermions
• Large $N_f$ quantum field theory
• Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain
• Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality
• Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
• Time-reversal symmetric Kitaev model and topological superconductor in two dimensions
• Stochastic series expansion simulation of the $t$-$V$ model
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• A functional perspective on emergent supersymmetry
• Transition between algebraic and ${\mathbb{Z}}_2$ quantum spin liquids at large $N$
• Spectrum of the Wilson-Fisher conformal field theory on the torus
• Dynamics of a j=3/2 quantum spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Momentum dependence of quantum critical Dirac systems
• Critical exponent $\omega$ in the Gross-Neveu-Yukawa model at $O(1/N)$

Cited by in corpus (40)

• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• 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
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
• Kitaev spin-orbital bilayers and their moiré superlattices
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• 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
• Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
• Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
• Magnetic order through Kondo coupling to quantum spin liquids
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• 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
• Exotic magnetic anisotropy near digitized dimensional Mott boundary
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• 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
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry