Interplay of quantum impurities and topological surface modes

Zheng, Shi-Han; Deng, Ming-Xun; Qiu, Jian-Ming; Zhong, Qing; Yang, Meijun; Wang, Rui-Qiang

doi:10.1016/j.physleta.2015.09.026

Cited by 6 publications

(11 citation statements)

References 33 publications

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“…Intriguingly, a sharp pronounced resonance for ε 0 = 0 can be located exactly at the Dirac point, completely destroying the 3D typical ω 2 Dirac spectrum. Similar Dirac-point resonance appears in doping surface of topological insulators with quantum impurities33 or quantum magnets4445. Our further calculations confirm that the scenario of Dirac-point resonance cannot emerge for classic impurity model, i.e., replacing in Eq.…”

Section: Resultssupporting

confidence: 73%

“…(5) recalls the extensively applied T-matrix approach3031, but here is expressed in terms of the Green’s function of magnetic impurity, defined as , which is the Fourier transform of . Similar relation can be found in Anderson impurities interacting with topological insulator29333839 or graphene40. In Eq.…”

Section: Model and Theorymentioning

confidence: 97%

“…Note that even for STR-broken case due to finite , is diagonal in spin space and independent of , remarkably different from the case of 2D topological insulator or graphene3341. For we can calculate by expanding the in terms of spherical harmonics according to the Rayleigh equation2442, and finally arrive at a simple analytical expression for D ≫ ω as…”

Section: Model and Theorymentioning

confidence: 99%

“…By comparison with the normal metals44 or 2D Dirac materials33, the most distinction is the specific expressions of self-energies ∑ 0 ( ω + ) and ∑ 1 ( ω + ).…”

Section: Model and Theorymentioning

confidence: 99%

“…We would like to mention that these discussions, however, are limited to the classic impurity model and only the single node scattering is taken into account. The nodal resonance induced by impurities have also been extensively studied in graphene and topological insulators2930313233. As a representational feature of quantum impurities, the Kondo effect has been intensely discussed in three-dimensional Dirac and Weyl systems34353637 of dilute magnetic impurities.…”

mentioning

confidence: 99%

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Resonance states and beating pattern induced by quantum impurity scattering in Weyl/Dirac semimetals

Zheng

Wang

Zhong

et al. 2016

Sci Rep

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Currently, Weyl semimetals (WSMs) are drawing great interest as a new topological nontrivial phase. When most of the studies concentrated on the clean host WSMs, it is expected that the dirty WSM system would present rich physics due to the interplay between the WSM states and the impurities embedded inside these materials. We investigate theoretically the change of local density of states in three-dimensional Dirac and Weyl bulk states scattered off a quantum impurity. It is found that the quantum impurity scattering can create nodal resonance and Kondo peak/dip in the host bulk states, remarkably modifying the pristine spectrum structure. Moreover, the joint effect of the separation of Weyl nodes and the Friedel interference oscillation causes the unique battering feature. We in detail an- alyze the different contribution from the intra- and inter-node scattering processes and present various scenarios as a consequence of competition between them. Importantly, these behaviors are sensitive significantly to the displacement of Weyl nodes in energy or momentum, from which the distinctive fingerprints can be extracted to identify various semimetal materials experimentally by employing the scanning tunneling microscope.

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Section: Resultssupporting

confidence: 73%

Section: Model and Theorymentioning

confidence: 97%

Section: Model and Theorymentioning

confidence: 99%

“…By comparison with the normal metals44 or 2D Dirac materials33, the most distinction is the specific expressions of self-energies ∑ 0 ( ω + ) and ∑ 1 ( ω + ).…”

Section: Model and Theorymentioning

confidence: 99%

mentioning

confidence: 99%

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Resonance states and beating pattern induced by quantum impurity scattering in Weyl/Dirac semimetals

Zheng

Wang

Zhong

et al. 2016

Sci Rep

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Dynamic conductivity modified by impurity resonant states in doping three-dimensional Dirac semimetals

Wang

Zheng

et al. 2017

Front. Phys.

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Effect of impurity resonant states on optical and thermoelectric properties on the surface of a topological insulator

Zhong

Duan

et al. 2017

Sci Rep

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We investigate the thermoelectric effect on a topological insulator surface with particular interest in impurity-induced resonant states. To clarify the role of the resonant states, we calculate the dc and ac conductivities and the thermoelectric coefficients along the longitudinal direction within the full Born approximation. It is found that at low temperatures, the impurity resonant state with strong energy de-pendence can lead to a zero-energy peak in the dc conductivity, whose height is sensitively dependent on the strength of scattering potential, and even can reverse the sign of the thermopower, implying the switching from n- to p-type carriers. Also, we exhibit the thermoelectric signatures for the filling process of a magnetic band gap by the resonant state. We further study the impurity effect on the dynamic optical conductivity, and find that the resonant state also generates an optical conductivity peak at the absorption edge for the interband transition. These results provide new perspectives for understanding the doping effect on topological insulator materials.

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Interplay of quantum impurities and topological surface modes

Cited by 6 publications

References 33 publications

Resonance states and beating pattern induced by quantum impurity scattering in Weyl/Dirac semimetals

Resonance states and beating pattern induced by quantum impurity scattering in Weyl/Dirac semimetals

Dynamic conductivity modified by impurity resonant states in doping three-dimensional Dirac semimetals

Effect of impurity resonant states on optical and thermoelectric properties on the surface of a topological insulator

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