Fractionalized Fermionic Quantum Criticality in Spin-Orbital Mott Insulators.

@article{Seifert2020FractionalizedFQ,
  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},
  year={2020},
  volume={125 25},
  pages={
          257202
        }
}
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… 
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References

SHOWING 1-10 OF 118 REFERENCES

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…
...