Nonlocal annihilation of Weyl fermions in correlated systems

@article{Crippa2019NonlocalAO,
  title={Nonlocal annihilation of Weyl fermions in correlated systems},
  author={Luca Crippa and Adriano Amaricci and Niklas Wagner and Giorgio Sangiovanni and Jan Carl Budich and Massimo Capone},
  journal={Physical Review Research},
  year={2019}
}
Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion symmetry. Within the independent electron approximation, the transition between an insulating state and a WSM requires the local creation or annihilation of one or several pairs of Weyl nodes in reciprocal space. Here, we show that strong electron-electron… 

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L. Crippa, 2, ∗ A. Amaricci, 2, † S. Adler, 4 G. Sangiovanni, and M. Capone 3, ‡ Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität

References

SHOWING 1-10 OF 59 REFERENCES

Observation of Weyl nodes in TaAs

Experiments show that TaAs is a three-dimensional topological Weyl semimetal. In 1929, H. Weyl proposed that the massless solution of the Dirac equation represents a pair of a new type of particles,

Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown.

This work derives a simple criterion to identify and characterize WSMs in an interacting setting using the exact electronic Green's function at zero frequency, which defines a topological Bloch Hamiltonian and introduces a WSM-like phase for which this criterion breaks down due to fractionalization.

Experimental discovery of Weyl semimetal TaAs

In 1929, H. Weyl proposed that the massless solution of the Dirac equation represents a pair of a new type of particles, the so-called Weyl fermions. However, their existence as a fundamental

Symmetry Enforced Stability of Interacting Weyl and Dirac Semimetals

The nodal and effectively relativistic dispersion featuring in a range of novel materials including two- dimensional graphene and three-dimensional Dirac and Weyl semimetals has attracted enormous

Weyl–Kondo semimetal in heavy-fermion systems

Theoretical work on a strongly correlated lattice model is reported to demonstrate the emergence of a Weyl–Kondo semimetal phase in a periodic Anderson model on a noncentrosymmetric lattice that is realized in a recently discovered heavy-fermion compound.

Evidence for magnetic Weyl fermions in a correlated metal.

Experimental evidence is reported for magnetic Weyl fermions in Mn3Sn, a non-collinear antiferromagnet that exhibits a large anomalous Hall effect, even at room temperature, and lays the foundation for a new field of science and technology involving the magnetic Wey excitations of strongly correlated electron systems such as Mn3 Sn.

Discovery of a Weyl fermion semimetal and topological Fermi arcs

The experimental discovery of a Weyl semimetal, tantalum arsenide (TaAs), using photoemission spectroscopy, which finds that Fermi arcs terminate on the Weyl fermion nodes, consistent with their topological character.

Density wave instabilities and surface state evolution in interacting Weyl semimetals

We investigate the interplay of many-body and band-structure effects of interacting Weyl semimetals (WSMs). Attractive and repulsive Hubbard interactions are studied within a model for a

Signature of type-II Weyl semimetal phase in MoTe2

This work directly visualize the electronic structure of MoTe2, a recently proposed type-II TWS, using angle-resolved photoemission spectroscopy (ARPES), and unravels the unique surface Fermi arcs, in good agreement with ab initio calculations that have nontrivial topological nature.

Erratum: Weyl semimetal phase in the non-centrosymmetric compound TaAs

Experiments show that TaAs is a three-dimensional topological Weyl semimetal. Three-dimensional (3D) topologicalWeyl semimetals (TWSs) represent a state of quantum matter with unusual electronic
...