Pseudomagnetic helicons

Gorbar, É. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

doi:10.1103/physrevb.95.115422

Cited by 68 publications

(153 citation statements)

References 51 publications

(152 reference statements)

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“…We first illustrate the emergence of the Fermi arc states in the simplest case of massless Dirac fermions with Weyl nodes at different momenta, and then consider the more general and complicated case of massive Dirac fermions. While similar calculations were presented in [7,14], here we extend the analysis of the surface states also to the case when absolute value of the Dirac mass is so large that the Weyl nodes no longer exist and explicitly follow the interpolation between the Fermi arc-like and the Dirac cone-like dispersion relations.…”

Section: Surface States For Massive Dirac Fermions With Momentum Sepamentioning

confidence: 99%

Surface states of massive Dirac fermions with separated Weyl nodes

Buividovich¹

2016

AIP Conference Proceedings

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Abstract. We derive the spectra of surface states for massive Dirac Hamiltonians with either momentum or energy separation between the left-and right-handed Weyl nodes. Momentum separation between the Weyl nodes corresponds to the explicitly broken time-reversal symmetry and the energy separation -to broken parity. Such Hamiltonians provide the simplest model description of Weyl semimetals. We find that the only effect of the energy separation between the Weyl nodes is to decrease the Fermi velocity in the linear dispersion relation of the surface states of massive Dirac Hamiltonian. In the case of broken timereversal symmetry, the spectrum of surface states interpolates in a nontrivial way between the Fermi arc-type and the Dirac cone-type dispersion relations. In particular we find that for all values of the mass and the momentum separation between the Weyl nodes the surface states only exist in a strip of finite width in momentum space. We give also some simpler examples of surface states in order to make these notes more pedagogical.

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Section: Surface States For Massive Dirac Fermions With Momentum Sepamentioning

confidence: 99%

Surface states of massive Dirac fermions with separated Weyl nodes

Buividovich¹

2016

AIP Conference Proceedings

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“…As in Ref. [44], here we will consider a simplified version of model (1) with the vanishing value of d 0 , which preserves all topological properties of the original model, but gets rid of the asymmetry between the valence and conduction bands (i.e., effectively enforces the particle-hole symmetry). Note that Hamiltonian (1) can be used to investigate response in the Weyl materials, as well as in truly relativistic Weyl matter.…”

Section: Modelmentioning

confidence: 99%

“…In fact, it misses the Bardeen-Zumino-Chern-Simons (BZCS) current [39,40], which is critical for the accurate description of both the chiral magnetic effect [32,33] and the anomalous Hall effect [22][23][24][25][26][27]. In addition, the importance of the BZCS current is clearly manifested in collective excitations in Weyl matter [41,42]. Note that the corresponding term [43] was first introduced in relativistic quantum field theory in order to define the consistent anomaly.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the corresponding term [43] was first introduced in relativistic quantum field theory in order to define the consistent anomaly. In our recent paper [44], we demonstrated that the BZCS current appears automatically in lattice models of Weyl materials and is connected with the winding number of the mapping of a two-dimensional (2D) section of the Brillouin zone onto the unit sphere.…”

Section: Introductionmentioning

confidence: 99%

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Chiral response in lattice models of Weyl materials

et al. 2017

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For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced pseudoelectromagnetic fields. We find that the chiral response induced by the pseudoelectromagnetic fields is not topologically protected. Although our calculations reproduce qualitatively the anomalous chiral Hall effect, the actual result for the conductivity depends on the definition of the chirality as well as on the parameters of the lattice model. In addition, while for the well-separated Fermi surfaces surrounding the individual Weyl nodes the current induced by the magnetic field coincides almost exactly with the current of the chiral separation effect in linearized models, there are clear deviations when the Fermi surfaces undergo the Lifshitz transition. In general, we find that all chiral response coefficients vanish at large chemical potential.

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“…The relativistic-like nature of the charge carriers in Weyl materials manifests itself in the phase shift and the quadratic dependence of the DOS on the quasiparticle energy [35]. Another distinctive feature of the Weyl materials is the unusual type of quantum oscillations that involve both bulk and surface (Fermi arcs) states [36][37][38]. Recently, a different mechanism for quantum oscillations in Dirac and Weyl semimetals without magnetic fields was proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

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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Pseudomagnetic helicons

Cited by 68 publications

References 51 publications

Surface states of massive Dirac fermions with separated Weyl nodes

Surface states of massive Dirac fermions with separated Weyl nodes

Chiral response in lattice models of Weyl materials

Chiral magnetic plasmons in anomalous relativistic matter

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