# Non-Abelian anomalies in multi-Weyl semimetals

@article{Dantas2020NonAbelianAI, title={Non-Abelian anomalies in multi-Weyl semimetals}, author={Renato M. A. Dantas and Francisco Pe{\~n}a-Benitez and Bitan Roy and Piotr Sur'owka}, journal={Physical Review Research}, year={2020} }

We construct the effective field theory for time-reversal symmetry breaking multi-Weyl semimetals (mWSMs), composed of a single pair of Weyl nodes of (anti-)monopole charge $n$, with $n=1,2,3$ in crystalline environment. From both the continuum and lattice models, we show that a mWSM with $n>1$ can be constructed by placing $n$ flavors of linearly dispersing simple Weyl fermions (with $n=1$) in a bath of an $SU(2)$ non-Abelian static background gauge field. Such an $SU(2)$ field preserves…

## 20 Citations

### Thermoelectric transport properties of Floquet multi-Weyl semimetals

- Physics
- 2020

We discuss the circularly polarized light (of amplitude $A_0$ and frequency $\omega$) driven thermo-electric transport properties of type-I and type-II multi-Weyl semimetals (mWSMs) in the high…

### Anomalous Hall transport in tilted multi-Weyl semimetals.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2020

The presence of a perpendicular magnetic field quantizes the occupation pockets due to the presence of Fermi tubes in type-I mWSMs, and an expression for the type-II mWSM Hall conductivity is derived, which is bounded by a Landau level cutoff introduced on physical grounds.

### Four-dimensional semimetals with tensor monopoles: From surface states to topological responses

- PhysicsPhysical Review B
- 2020

Quantum anomalies offer a useful guide for the exploration of transport phenomena in topological semimetals. In this work, we introduce a model describing a semimetal in four spatial dimensions,…

### Momentum relaxation of holographic Weyl semimetal from massive gravity

- PhysicsThe European Physical Journal C
- 2022

We consider the effects of momentum relaxation on the topological quantum phase transitions in holographic Weyl semimetals. The translational symmetry breaking in the field theory is realized in the…

### A Weyl-Z2 semimetal from holography

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We present effective field theories for the weakly coupled Weyl-Z2 semimetal, as well as the holographic realization for the strongly coupled case. In both cases, the anomalous systems have…

### Phase transitions in a holographic multi-Weyl semimetal

- Physics
- 2020

Topological phases of matter have recently attracted a rather notable attention in the community dealing with the holographic methods applied to strongly interacting condensed matter systems. In…

### Skin effect as a probe of transport regimes in Weyl semimetals

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 2022

Significance Weyl semimetals are a class of three-dimensional materials, whose low-energy excitations mimic massless fermions. In consequence they exhibit various unusual transport properties related…

### Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals

- PhysicsPhysical Review Research
- 2020

Multi-Weyl semimetals feature band crossings with the dispersion that is, in general, linear in only one direction, and as a consequence their band structure is characterized by the monopole charge…

### Holographic Schwinger-Keldysh field theory of SU(2) diffusion

- PhysicsJournal of High Energy Physics
- 2022

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled…

### Nonequilibrium hybrid multi-Weyl semimetal phases

- PhysicsJournal of Physics: Materials
- 2021

Multi-Weyl semimetals are variations of Weyl semimetals characterized by isolated band touching points, each carrying multiple topological charges. Given a plethora of exotic transport properties…

## References

SHOWING 1-10 OF 132 REFERENCES

### Topological response in Weyl semimetals and the chiral anomaly

- Physics
- 2012

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semiquantized anomalous Hall effect and the chiral magnetic effect (equilibrium…

### Probing the chiral anomaly with nonlocal transport in three dimensional topological semimetals

- Physics
- 2013

Weyl semimetals are three-dimensional crystalline systems where pairs of bands touch at points in momentum space, termed Weyl nodes, that are characterized by a definite topological charge: the…

### Thermo-electric transport in Landau Quantized Hall States of a multi-Weyl Semimetal

- Physics
- 2019

We study the effect of a perpendicular magnetic field $\mathbf{B}$ on a multinode Weyl semimetal (mWSM) of arbitrary integer monopole charge $n$, with the two Weyl multinodes separated in…

### Interacting Weyl fermions: Phases, phase transitions, and global phase diagram

- Physics
- 2016

We study the effects of short-range interactions on a generalized three-dimensional Weyl semimetal, where the band touching points act as the (anti)monopoles of Abelian Berry curvature of strength…

### Magnetotransport in multi-Weyl semimetals: a kinetic theory approach

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe study the longitudinal magnetotransport in three-dimensional multi-Weyl semimetals, constituted by a pair of (anti)-monopole of arbitrary integer charge (n), with n = 1,2 and 3 in a…

### Multi-Weyl topological semimetals stabilized by point group symmetry.

- PhysicsPhysical review letters
- 2012

We perform a complete classification of two-band k·p theories at band crossing points in 3D semimetals with n-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we…

### Axionic field theory of (3+1)-dimensional Weyl semimetals

- Physics
- 2013

From a direct calculation of the anomalous Hall conductivity and an effective electromagnetic action obtained via Fujikawa's chiral rotation technique, we conclude that an axionic field theory with a…

### Origin of Bardeen-Zumino current in lattice models of Weyl semimetals

- Physics
- 2017

For a generic lattice Hamiltonian of the electron states in Weyl semimetals, we calculate the electric charge and current densities in the first order in background electromagnetic and strain-induced…

### Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality

- PhysicsPhysical Review X
- 2018

Pursuing complementary field-theoretic and numerical methods, we here paint the global phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion, augmented by a…

### Weyl fermions with arbitrary monopoles in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering

- Physics
- 2016

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge n. For n=1, 2, and 3 we realize single,…