Elastic Gauge Fields in Weyl Semimetals

Cortijo, Alberto; Ferreirós, Yago; Landsteiner, Karl; Vozmediano, María A. H.

doi:10.1103/physrevlett.115.177202

Cited by 225 publications

(304 citation statements)

References 37 publications

(49 reference statements)

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“…This leads to anomaly-related phenomena in WSMs such as the anomalous Hall effect [8][9][10][11][12], the chiral magnetic effect [13,14] and related effects like the negative magnetoresistance [15,16]. Furthermore, it has been predicted that lattice deformations couple to the fermionic low-energy excitations with different signs, giving rise to effective axial gauge fields [17,18]. Such lattice deformations naturally arise at the surfaces of a WSM, inducing localised axial magnetic fields in their vicinity.…”

Section: Introductionmentioning

confidence: 99%

Surface States in Holographic Weyl Semimetals

et al. 2017

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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 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 result are subtle and may shed some light on anomalous transport at weak coupling. INTRODUCTIONWeyl semimetals (WSMs) are novel gapless topological states of matter with electronic low-energy excitations behaving as left-and right-handed Weyl fermions [1][2][3][4][5][6][7]. These quasiparticles are localized around Weyl nodes in the Brillouin zone, points where, in band theory, valence and conduction bands touch at the Fermi energy. The Nielsen-Ninomiya theorem [1] states that left-and right-handed Weyl nodes appear in pairs. The existence of these nodes requires either inversion or time reversal symmetry to be broken. In the latter case, Weyl nodes of opposite chirality are separated spatially in the Brillouin zone. Weyl nodes can be characterized as monopoles of Berry flux with charge ±1 which reflects the chirality of the excitations. As such, Weyl nodes represent topological objects in the Brillouin zone and are stable under most perturbations, including interactions. As in topological insulators, the existence of surface states is guaranteed by topology. Moreover, it has been shown [2] that the surface states of a WSM form so-called Fermi arcs connecting the projections of the Weyl nodes onto the surface Brillouin zone.The transport properties of WSMs are tightly bound to the axial anomaly of quantum field theories with Weyl fermions. This leads to anomaly-related phenomena in WSMs such as the anomalous Hall effect [8][9][10][11][12], the chiral magnetic effect [13,14] and related effects like the negative magnetoresistance [15,16]. Furthermore, it has been predicted that lattice deformations couple to the fermionic low-energy excitations with different signs, giving rise to effective axial gauge fields [17,18]. Such lattice deformations naturally arise at the surfaces of a WSM, inducing localised axial magnetic fields in their vicinity. Moreover, it was shown that the Fermi arcs can be understood from this perspective as zeroth Landau levels generated by these fields [19].It is important to remark that in the strong coupling regime the description in terms of bands, or even correlation functions, cannot be applied and therefore it is compelling to study to which extent the weak coupling intuitions can be extrapolated. In Refs. [20,21], the authors addressed the question whether the properties of a (homogeneous and infinite) WSM can be found in the strong coupling regime. To this end, they presented a holographic model which exhibits a topological phase transition from a trivial phase to a non-trivial WSM phase. In this letter...

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Section: Introductionmentioning

confidence: 99%

Surface States in Holographic Weyl Semimetals

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“…We note that η H ⊥ can be understood as Hall viscosity in the plane orthogonal to b whereas η H is specific to axisymmetric three dimensional systems. The later has been shown to arise also via the coupling of elastic gauge fields to the electron gas in Weyl semimetals [25]. In that case the odd or Hall viscosity is best thought of as a property of the phonon gas arising via the electron-phonon Chern-Simons interactions.…”

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confidence: 99%

Odd Viscosity in the Quantum Critical Region of a Holographic Weyl Semimetal

2016

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We study odd viscosity in a holographic model of a Weyl semimetal. The model is characterised by a quantum phase transition from a topological semimetal to a trivial semimetal state. Since the model is axisymmetric in three spatial dimensions there are two independent odd viscosities. Both odd viscosity coefficients are non-vanishing in the quantum critical region and non-zero only due to the mixed axial gravitational anomaly. It is therefore a novel example in which the mixed axial gravitational anomaly gives rise to a transport coefficient at first order in derivatives at finite temperature. We also compute anisotropic shear viscosities and show that one of them violates the KSS bound. In the quantum critical region, the physics of viscosities as well as conductivities is governed by the quantum critical point. Introduction.-One of the most surprising outcomes of string theory is the application of the AdS/CFT correspondence to the physics of strongly interacting quantum many-body systems [1]. The need to develop models that allow to address the question of real-time transport in strongly interacting quantum fluids has arisen from experiments in completely different areas of physics: in the quark gluon plasma generated in heavy ion collisions, the collective behavior of ultra-cold atoms, the strange metal phase of the high-T c superconductors and most recently the hydrodynamic electronic flow observed in Graphene and similar materials [2][3][4][5].

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“…Indeed, in Weyl materials, b 0 and b correspond to energy and momentum-space separations between the Weyl nodes, respectively. Strain-induced axial (or, equivalently, pseudoelectromagnetic) fields are described byÃ 5 ν , which is directly related to the deformation tensor [26][27][28][29][30]33]. As is easy to check, the consistent electric current, i.e.,…”

Section: The Consistent Chiral Kinetic Theorymentioning

confidence: 99%

“…From a physics viewpoint, the pseudoelectromagnetic fields E 5 and B 5 stem from strains in Weyl materials [27,30,33]. The pseudoelectric field E 5 is obtained by dynamically deforming the sample.…”

Section: The Consistent Chiral Kinetic Theorymentioning

confidence: 99%

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Chiral magnetic plasmons in anomalous relativistic matter

et al. 2017

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The chiral plasmon modes of relativistic matter in background magnetic and strain-induced pseudomagnetic fields are studied in detail using the consistent chiral kinetic theory. The results reveal a number of anomalous features of these chiral magnetic and pseudomagnetic plasmons that could be used to identify them in experiment. In a system with nonzero electric (chiral) chemical potential, the background magnetic (pseudomagnetic) fields not only modify the values of the plasmon frequencies in the long-wavelength limit, but also affect the qualitative dependence on the wave vector. Similar modifications can be also induced by the chiral shift parameter in Weyl materials. Interestingly, even in the absence of the chiral shift and external fields, the chiral chemical potential alone leads to a splitting of plasmon energies at linear order in the wave vector.

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Elastic Gauge Fields in Weyl Semimetals

Cited by 225 publications

References 37 publications

Surface States in Holographic Weyl Semimetals

Surface States in Holographic Weyl Semimetals

Odd Viscosity in the Quantum Critical Region of a Holographic Weyl Semimetal

Chiral magnetic plasmons in anomalous relativistic matter

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