# Surface States in Holographic Weyl Semimetals.

@article{Heinrich2017SurfaceSI,
title={Surface States in Holographic Weyl Semimetals.},
author={M. F. Heinrich and Amadeo Jim{\'e}nez-Alba and Sebastian Moeckel and Martin Ammon},
journal={Physical review letters},
year={2017},
volume={118 20},
pages={
201601
}
}
• Published 2 December 2016
• Physics
• Physical review letters
We study the surface states of a strongly coupled Weyl semimetal within holography. By explicit numerical computation of an inhomogeneous holographic Weyl semimetal, we observe the appearance of an electric current restricted to the surface in the presence of an electric chemical potential. The integrated current is universal in the sense that it only depends on the topology of the phases showing that the bulk-boundary correspondence holds even at strong coupling. The implications of this…
17 Citations

## Figures from this paper

### Topological nodal line semimetals in holography

• Physics
Journal of High Energy Physics
• 2018
A bstractWe show a holographic model of a strongly coupled topological nodal line semimetal (NLSM) and find that the NLSM phase could go through a quantum phase transition to a topologically trivial

### Weyl semimetal/insulator transition from holography

• Physics
Journal of High Energy Physics
• 2018
A bstractWe study a holographic model which exhibits a quantum phase transition from the strongly interacting Weyl semimetal phase to an insulating phase. In the holographic insulating phase there is

### A Weyl-Z2 semimetal from holography

• Physics
Journal 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

### Holographic topological semimetals

• Physics
Science China Physics, Mechanics & Astronomy
• 2020
The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of

### Momentum relaxation in a holographic Weyl semimetal

• Junkun Zhao
• Physics, Materials Science
Physical Review D
• 2021
We study the effects of momentum relaxation on the holographic Weyl semimetal which exhibits a topological quantum phase transition between the Weyl semimetal phase and a topological trivial phase.

### Thermodynamics and transport of holographic nodal line semimetals

• Physics
Journal of High Energy Physics
• 2021
Abstract We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a

### A smeared quantum phase transition in disordered holography

• Physics
• 2018
A bstractWe study the effects of quenched one-dimensional disorder on the holographic Weyl semimetal quantum phase transition (QPT), with a particular focus on the quantum critical region. We observe

### Chiral vortical conductivity across a topological phase transition from holography

• Physics
Physical Review D
• 2019
We study the chiral vortical conductivity in a holographic Weyl semimetal model, which describes a topological phase transition from the strongly coupled topologically nontrivial phase to a trivial

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

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 semimetal from AdS/CFT with flavour

• Physics
Journal of High Energy Physics
• 2021
Abstract We construct a top-down holographic model of Weyl semimetal states using (3 + 1)-dimensional $$\mathcal{N}$$ N = 4 supersymmetric SU(Nc) Yang-Mills theory, at large Nc and strong

## References

SHOWING 1-10 OF 55 REFERENCES

### Axial Hall effect and universality of holographic Weyl semi-metals

• Physics
• 2017
A bstractThe holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall

### Strain-induced chiral magnetic effect in Weyl semimetals

• Physics
• 2016
Here, we argue that strain applied to a time-reversal and inversion breaking Weyl semimetal in a magnetic field can induce an electric current via the chiral magnetic effect. A tight-binding model is

### Electromagnetic response of Weyl semimetals.

• Physics
Physical review letters
• 2013
It is found that chiral magnetic effect is absent in both the semimetal and the insulator phase, and the reasons for this discrepancy are elucidated.

### Quantum Phase Transition between a Topological and a Trivial Semimetal from Holography.

• Physics
Physical review letters
• 2016
A holographic model of a topological Weyl semimetal with a time-reversal breaking parameter and a mass deformation leading to restoration of time reversal at the end point of the RG flow in the trivial phase is presented.

### Elastic Gauge Fields in Weyl Semimetals.

• Physics
Physical review letters
• 2015
It is shown that, as happens in graphene, elastic deformations couple to the electronic degrees of freedom as pseudogauge fields in Weyl semimetals, and a nonzero phonon Hall viscosity for the neutral system at zero temperature is derived.

### 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

### Axion response in Weyl semimetals

• Physics
• 2013
Weyl semimetal is a new phase of matter that provides the first solid state realization of chiral Weyl fermions. Most of its unique physics is a consequence of chiral anomaly, namely nonconservation

### Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4.

• Physics
Physical review letters
• 2011
It is predicted, based on first principles calculations, that such a novel quantum state can be realized in a known ferromagnetic compound HgCr2Se4, with a single pair of Weyl fermions separated in momentum space.

### Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates

• Physics
• 2011
There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely

### Weyl semimetal in a topological insulator multilayer.

• Physics
Physical review letters
• 2011
The Weyl semimetal has a nonzero dc conductivity at zero temperature, but Drude weight vanishing as T(2), and is thus an unusual metallic phase, characterized by a finite anomalous Hall conductivity and topologically protected edge states.