Fractionalized Fermionic Quantum Criticality in Spin-Orbital Mott Insulators.

  title={Fractionalized Fermionic Quantum Criticality in Spin-Orbital Mott Insulators.},
  author={Urban F. P. Seifert and Xiao-yu Dong and Sreejith Chulliparambil and Matthias Vojta and Hong-Hao Tu and Lukas Janssen},
  journal={Physical review letters},
  volume={125 25},
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* 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… 

Figures from this paper

Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order

Two-dimensional spin-orbital magnets with strong exchange frustration have recently been predicted to facilitate the realization of a quantum critical point in the Gross-Neveu-SO(3) universality

Gross-Neveu-Heisenberg criticality from $2+\boldsymbol{\epsilon}$ expansion

The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have

Critical structure and emergent symmetry of Dirac fermion systems

  • Jiang Zhou
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2022
Emergent symmetry in Dirac system means that the system acquires an enlargement of two basic symmetries at some special critical point. The continuous quantum criticality between the two symmetry

Planar Hall effect and large anisotropic magnetoresistance in a topological superconductor candidate Cu0.05PdTe2

We report the observation of a large anisotropic magnetoresistance (AMR) and planar Hall effect (PHE) in a topological superconducting candidate Cu0.05PdTe2. The AMR and PHE data in Cu0.05PdTe2 can

Order fractionalization in a Kitaev-Kondo model

We describe a mechanism for order fractionalization in a two-dimensional Kondo lattice model, in which electrons interact with a gapless spin liquid of Majorana fermions described by the Yao-Lee (YL)

Phase diagrams of SO( N ) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions

Lukas Janssen1 and Urban F. P. Seifert2, 3 1Institut für Theoretische Physik and Würzburg-Dresden Cluster of Excellence ct.qmat, TU Dresden, 01062 Dresden, Germany 2Université de Lyon, ENS de Lyon,

Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry

We use the large N critical point formalism to compute d-dimensional critical exponents at several orders in 1/N in an Ising Gross–Neveu universality class where the core interaction includes a Lie

Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids

Spin-orbital liquids are quantum disordered states in systems with entangled spin and orbital degrees of freedom. We study exactly solvable spin-orbital models in two dimensions with selected



Microscopic models for Kitaev's sixteenfold way of anyon theories

In two dimensions, the topological order described by ${\mathbb{Z}}_{2}$ gauge theory coupled to free or weakly interacting fermions with a nonzero spectral Chern number $\ensuremath{\nu}$ is

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

We propose a general theoretical framework, using two layers of ancilla qubits, for a continuous transition between a Fermi liquid with a large Fermi surface, and a pseudogap metal with a small Fermi

Dynamics of a Two-Dimensional Quantum Spin-Orbital Liquid: Spectroscopic Signatures of Fermionic Magnons.

The spin dynamics in this Kugel-Khomskii type model is exactly the density-density correlation function of S=1 fermionic magnons, which could be probed in resonant inelastic x-ray scattering experiments.

Confinement transition in the QED3 -Gross-Neveu-XY universality class

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this

Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality

Motivated by the fermion-bag approach, we construct a new class of Hamiltonian lattice field theories that can help us to study fermionic quantum critical points, particularly those with four-fermion

Spin-1 Kitaev-Heisenberg model on a honeycomb lattice

We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method. By tuning the relative

Designer Monte Carlo simulation for the Gross-Neveu-Yukawa transition

In this paper, we study the quantum criticality of Dirac fermions via large-scale numerical simulations, focusing on the Gross-Neveu-Yukawa chiral-Ising quantum critical point (QCP) with critical

SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: Implications for twistronics and Mott insulators

The SU(4)-symmetric spin-orbital model on the honeycomb lattice was recently studied in connection to correlated insulators such as the $e_{g}$ Mott insulator Ba$_{3}$CuSb$_{2}$O$_{9}$ and the

Flat band in twisted bilayer Bravais lattices

Band engineering in twisted bilayers of the five generic two-dimensional Bravais networks is demonstrated. We first derive symmetry-based constraints on the interlayer coupling, which helps us to

N ov 2 01 4 Fermionic quantum criticality in honeycomb and π-flux Hubbard models

We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the π-flux lattice, which exhibits a direct transition from a Dirac semimetal to an antiferromagnetically