Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals

Mukherjee, Dibya Kanti; Carpentier, David; Goerbig, M. O.

doi:10.1103/physrevb.100.195412

Cited by 26 publications

(29 citation statements)

References 37 publications

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“…3(b)]. We note that these n > 0 modes are similar to the Volkov and Pankratov states [59] that arise at the interface between two semiconductors or insulators with inverted mass terms [60][61][62].…”

Section: Model and Icm In 2d Graphenesupporting

confidence: 62%

“…However, in this work we consider an interface between two IS broken WSMs with oppositely signed momentum shifts instead of mass. Note that the momentum shift does not open any gap, unlike the previous studies [60,61], and hence the topological character of the Weyl nodes still persists. The low energy 115306-2 effective Hamiltonian for one of these Weyl nodes reads as [64] H…”

Section: Icm In 3d Weyl Semimetalmentioning

confidence: 56%

“…The IS broken WSM hosts four inequivalent Weyl nodes in the momentum space. The interfacial modes in a 3D topological hetererojunction have been considered previously with an inverted mass term [60,61] which changes sign across the interface and opens mass gaps on the both sides of the interface, i.e., a junction is made between two insulating phases. The ICM for electromagnetic waves has also been predicted in a TRS broken WSM [63].…”

Section: Icm In 3d Weyl Semimetalmentioning

confidence: 99%

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Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

et al. 2021

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We theoretically investigate the features of Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction between two magnetic impurities, mediated by the interfacial bound states inside a domain wall (DW). The latter separates the two regions with oppositely signed inversion symmetry broken terms in graphene and Weyl semimetal. The DW is modeled by a smooth quantum well which hosts a number of discrete bound states including a pair of gapless, metallic modes with opposite chiralities. We find clear signatures of these interfacial chiral bound states in spin response (RKKY exchange interaction) which is robust to the deformation of the quantum well.

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Section: Model and Icm In 2d Graphenesupporting

confidence: 62%

Section: Icm In 3d Weyl Semimetalmentioning

confidence: 56%

Section: Icm In 3d Weyl Semimetalmentioning

confidence: 99%

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Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

et al. 2021

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“…Spin degeneracy is ensured by the centrosymmetric lattice of ZrTe 5 . Still, because we gain in simplicity, it is fitting to call this < 0 phase in a 2 × 2 Hamiltonian model a WSM phase [17,27,28].…”

Section: A Effective Two-band Modelmentioning

confidence: 99%

“…In this paper, we identify under which circumstances it is possible to distinguish between the gapped and WSM scenario, specifically for ZrTe 5 . To do this, we generalize the Hamiltonian model to allow for a negative band gap [17][18][19]. By this simple change of the sign of the band gap, we generate a minimal 2 × 2 model Hamiltonian for WSM.…”

Section: Introductionmentioning

confidence: 99%

Distinguishing the gapped and Weyl semimetal scenario in ZrTe5 : Insights from an effective two-band model

et al. 2020

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Here we study the static and dynamic transport properties of a low-energy two-band model proposed previously in Martino et al. [PRL 122, 217402 (2019)], with an anisotropic in-plane linear momentum dependence and a parabolic out-of-plane dispersion. The model is extended to include a negative band gap, which leads to the emergence of a Weyl semimetal (WSM) state, as opposed to the gapped semimetal (GSM) state when the band gap is positive. We calculate and compare the zero-and finite-frequency transport properties of the GSM and WSM cases. The DC properties that are calculated for the GSM and WSM cases are Drude spectral weight, mobility, and resistivity. We determine their dependence on the Fermi energy and crystal direction. The in-and out-of-plane optical conductivities are calculated in the limit of the vanishing interband relaxation rate for both semimetals. The main common features are an ω 1/2 in-plane and ω 3/2 out-of-plane frequency dependence of the optical conductivity. We seek particular features related to the charge transport that could unambiguously point to one ground state over the other, based on the comparison with the experiment. Differences between the WSM and GSM are in principle possible only at extremely low carrier concentrations and at low temperatures.

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Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe₅

2021

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In this paper, we give a systematic theoretical study on the Landau levels (LLs) and magneto-optical conductivity Re(σαα) in a gapped Dirac semimetal model with mixed linear and parabolic dispersions under a magnetic field, which was recently proposed by Jiang et al. [Phys. Rev. Lett. 125, 046403 (2020)] to explain the experimental magnetoinfrared spectroscopy in the three-dimensional ZrTe5 crystal. We find that the strong magnetic field can drive the LLs become noninverted and thus the strong topological insulator phase in ZrTe5 turns to be a trivial insulator. In the different magnetic field regions, the density of states and Re(σαα) can exhibit distinct signatures. Moreover, when the magnetic field is weak, a qualitative relation in Re(σzz) between the peaks at the saddle points is revealed as Re(σzz ζn) >Re(σzz Γ) , which is in good agreement with the experiment.

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Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals

Cited by 26 publications

References 37 publications

Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

Distinguishing the gapped and Weyl semimetal scenario in ZrTe5 : Insights from an effective two-band model

Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe₅

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Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals

Cited by 26 publications

References 37 publications

Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

Distinguishing the gapped and Weyl semimetal scenario in ZrTe5 : Insights from an effective two-band model

Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5

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Product

Resources

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Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe₅