Anomaly Non-renormalization in Interacting Weyl Semimetals

@article{Giuliani2019AnomalyNI,
  title={Anomaly Non-renormalization in Interacting Weyl Semimetals},
  author={Alessandro Giuliani and Vieri Mastropietro and Marcello Porta},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={384},
  pages={997 - 1060}
}
Weyl semimetals are 3D condensed matter systems characterized by a degenerate Fermi surface, consisting of a pair of ‘Weyl nodes’. Correspondingly, in the infrared limit, these systems behave effectively as Weyl fermions in 3+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3+1$$\end{document} dimensions. We… 

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References

SHOWING 1-10 OF 74 REFERENCES

Height fluctuations in interacting dimers

It is proved that the same holds for small non-zero interactions, as was conjectured in the theoretical physics literature, based on an exact representation of the model in terms of lattice interacting fermions, which are studied by constructive field theory methods.

The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi.

A large negative LMR with the field-steering properties specific to the chiral anomaly is observed in the half-Heusler GdPtBi, and the scheme of creating Weyl nodes from quadratic bands suggests that the Chiral anomaly may be observable in a broad class of semimetals.

Colloquium : Topological insulators

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator but have protected conducting states on their edge or surface. These states are possible due to

Quantum Theory of Large Systems of Non-Relativistic Matter

1. Introduction 2. The Pauli Equation and its Symmetries {2.1} Gauge-Invariant Form of the Pauli Equation {2.2} Aharonov-Bohm Effect {2.3} Aharonov-Casher Effect 3. Gauge Invariance in

Weyl semimetals in optical lattices: moving and merging of Weyl points, and hidden symmetry at Weyl points

It is found that there always exists a hidden symmetry at Weyl points, regardless of anywhere they located in the Brillouin zone, and the hidden symmetry has an antiunitary operator with its square being −1.

Weyl semimetals with short-range interactions

We construct a low-energy effective field theory of fermions interacting via short-range interactions in a simple two-band model of a Weyl semimetal on the cubic lattice and investigate possible

Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal

Signs of the Weyl fermion chiral anomaly in the magneto-transport of TaAs are reported and it is observed that high mobility TaAs samples become more conductive as a magnetic field is applied along the direction of the current for certain ranges of the field strength.

A stable three-dimensional topological Dirac semimetal Cd3As2.

By performing angle-resolved photoemission spectroscopy, a pair of 3D Dirac fermions in Cd3As2 are directly observed, proving that it is a model 3D TDS and by in situ doping it is able to tune its Fermi energy, making it a flexible platform for exploring exotic physical phenomena.

Axial vector vertex in spinor electrodynamics

Working within the framework of perturbation theory, we show that the axial-vector vertex in spinor electrodynamics has anomalous properties which disagree with those found by the formal manipulation

Energy Correlations of Non-Integrable Ising Models: The Scaling Limit in the Cylinder

We consider a class of non-integrable 2D Ising models whose Hamiltonian, in addition to the standard nearest neighbor couplings, includes additional weak multi-spin interactions which are even under
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