Josephson effect in silicene-based SNS Josephson junction: Andreev reflection and free energy

Wu, Chen-Huan

doi:10.48550/arxiv.1806.10289

Cited by 7 publications

(10 citation statements)

References 22 publications

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“…For the low-energy Dirac-Hamilatonian of silicene in tight-binding model, it reads [3,4,5,6,7] H(t) = v F (ητ x P x (t) + τ y P y (t)) + ηλ SOC τ z σ z + aλ R 2 ητ z (P y σ x − P x σ y )…”

Section: Model Of Silicene In Optical Systemmentioning

confidence: 99%

Dynamical polarization and the optical response of silicene and related materials

2018

Results in Physics

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We discuss the dynamical polarization, optical response in low-frequency regime under in-plane polarized driving field of the silicene. The dynamical polarization, dielectric function, and absorption of radiation in infrared region are obtained and shown in the q ∼ ω space, and they are distinguishing for the cases of chemical potential larger than the band gap and smaller than the band gap. The optical properties of silicene and the related group-V and group-VI materials: MoS 2 and black phosphorus are explored through the first-principle study. The plasmon which damped into the electron-hole pair in the single-particle excitation regime is also mentioned. The spin/valley polarized electron-hole pairs can be formed through that way, especially for the high-energy π-plasmon which begin to damp at the small q-limit. The anisotropic effects induced by the warping structure or charged impurity, and the anisotropic polarization induced by the polarized incident light are also discussed. Our result exhibits the great potential in the optoelectronic applications of the materials we discussed.

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Section: Model Of Silicene In Optical Systemmentioning

confidence: 99%

Dynamical polarization and the optical response of silicene and related materials

2018

Results in Physics

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“…While for the two-dimension Dirac system with nonzero Dirac-mass (we here take the monolayer silicene and MoS 2 as example), the β-term (i.e., the pseudospin index-dependent term) is also needed for the Berry curvature and the related anomalous effects [17]. For silicene in low-energy Dirac tight-binding model, the Hamiltonian of silicene reads which reads [17,2,21,22,23,3,4]…”

Section: Modelsmentioning

confidence: 99%

Dynamical polarization, plasmon model, and the Friedel oscillation of the screened potential in doped Dirac and Weyl system

Wu¹

2018

Preprint

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We discuss the dynamical polarization, plasmon dispersion, relaxation time, and the Friedel oscillation of screened potential of the two-dimension Dirac and threedimension Weyl system (which are gapped) in the low-energy tigh-binding model. The results, like the Fermi wavevector, Thomas-Fermi wavevector, and longitudinal conductivity are obtained in different dimensions. Some important conclusions are detailedly discussed in this paper, including the screening character under short or long range Coulomb interaction, and the longitudinal conductivity in two-or threedimensions. The longitudinal conductivity in optical limit is distinguishing for the case of two-dimension system and three-dimension system. The density-dependence (including the carrier density and the impurity concentration) of the Fermi wavevector, dc conductivity, and the relaxation time are discussed. Specially, for the doped Weyl system, the pumped carrier density due to the chiral anomaly origin from electromagnetic response is controlled by the internode relaxation time which has also been analyzed. Our results is helpful to the application of the Dirac or Weyl systems as well as the study on their low-temperature characters.

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“…We at first intruduce the low-energy Dirac-Hamilatonian of silicene in tight-binding model, which reads [8,1,3,5,7,2]…”

Section: Modelmentioning

confidence: 99%

“…The many-body effect (many-electron effect) is also related to the retarded polarization function as well as the dielectric function, thus in the following computation, we define ω = ω + i0 + for simplicity. The self-energy effect in the many-electron system is generally important for the system with quasi-one-dimension band, like the graphene, silicene, and genmanene in the M − K region [3,4,1,5,6,7,8] or the black phosphorus in the M − Y region [9]. The ignorance of the electron-interaction effect also leads to the ignorance of the self-energy and the related excitonic effect and the Coulomb potential.…”

Section: Introductionmentioning

confidence: 99%

Many-electron effect to the dynamical polarization of silicene-like two-dimension Dirac materials

Wu¹

2018

Preprint

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We discuss the dynamical polarization with finite momentum and frequency in the presence of many-electron effect, including the screened Coulomb interaction, self-energy and vertex correction. The longitudinal conductivity, screened Coulomb interaction, and the response function are calculated. The behavior of the Dirac Fermions, including the propagation of the charge density which exhibits the causality, affects largely the low-temperature physical properties of the Dirac semimetal, like the silicene. For the polarization-related quantities (like the dielectric function), the method of standard random phase approximation (RPA) provides the non-interaction results (ignore the many electron effect), for a more exact result, we discuss the selfenergy and the vertex correction for the two-dimension Dirac model. We found that, after the self-energy correction, the longitudinal conductivity increase compared to the noninteracting one in optical limit. For the renormalization treatment, the ultraviolet cutoff is setted as Λ = t in our calculations, i.e., within the range between two Van Hove singularities where the density of states divergent logarithmically. The (corrected) screened Coulomb interaction and the response function are also discussed. Our results are helpful to the application of the Dirac materials (or the Weyl semimetal) in spintronics or valleytronics.

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Josephson effect in silicene-based SNS Josephson junction: Andreev reflection and free energy

Cited by 7 publications

References 22 publications

Dynamical polarization and the optical response of silicene and related materials

Dynamical polarization and the optical response of silicene and related materials

Dynamical polarization, plasmon model, and the Friedel oscillation of the screened potential in doped Dirac and Weyl system

Many-electron effect to the dynamical polarization of silicene-like two-dimension Dirac materials

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