scholarly journals Third-Order Optical Nonlinearity of Three-Dimensional Massless Dirac Fermions

ACS Photonics ◽  
2020 ◽  
Vol 7 (9) ◽  
pp. 2515-2526
Author(s):  
J. L. Cheng ◽  
J. E. Sipe ◽  
S. W. Wu
2012 ◽  
Vol 27 (3) ◽  
pp. 327-331
Author(s):  
Qiang LU ◽  
Fang-Ming CUI ◽  
Chen-Yang WEI ◽  
Zi-Le HUA ◽  
Chang-Qing DONG

2021 ◽  
Vol 114 ◽  
pp. 110914
Author(s):  
Luying Yin ◽  
Jie Jiang ◽  
Yanyan Huo ◽  
Shuyun Wang ◽  
Tingyin Ning

2021 ◽  
Vol 117 ◽  
pp. 111208
Author(s):  
Zhen Yang ◽  
Haonan Hu ◽  
Qiuli Li ◽  
Zheng Zhang ◽  
Lei Niu ◽  
...  

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
András L. Szabó ◽  
Bitan Roy

Abstract We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1) ⊗ SU(2) chiral symmetry. A concrete lattice realization of such chiral Dirac excitations is presented, and the role of electron-electron interactions is studied by performing a field theoretic renormalization group (RG) analysis, controlled by a small parameter ϵ with ϵ = d−1, about the lower-critical one spatial dimension. Besides the noninteracting Gaussian fixed point, the system supports four quantum critical and four bicritical points at nonvanishing interaction couplings ∼ ϵ. Even though the chiral symmetry is absent in the interacting model, it gets restored (either partially or fully) at various RG fixed points as emergent phenomena. A representative cut of the global phase diagram displays a confluence of scalar and pseudoscalar excitonic and superconducting (such as the s-wave and p-wave) mass ordered phases, manifesting restoration of (a) chiral U(1) symmetry between two excitonic masses for repulsive interactions and (b) pseudospin SU(2) symmetry between scalar or pseudoscalar excitonic and superconducting masses for attractive interactions. Finally, we perturbatively study the effects of weak rotational symmetry breaking on the stability of various RG fixed points.


Nanomaterials ◽  
2019 ◽  
Vol 10 (1) ◽  
pp. 34
Author(s):  
Zhihao Zhang ◽  
Pengchao Li ◽  
Yuzong Gu

It is significant to study the reason that semiconductor material has adjustable third-order optical nonlinearity through crystal form and dimensions are changed. αMnS nanoparticles with different crystal forms and sizes were successfully prepared by one-step hydrothermal synthesis method and their size-limited third-order nonlinear optical property was tested by Z-scan technique with 30 ps laser pulses at 532 nm wavelength. Nanoparticles of different crystal forms exhibited different NLO (nonlinear optical) responses. γMnS had stronger NLO response than αMnS because of higher fluorescence quantum yield. Two-photon absorption and the nonlinear refraction are enhanced as size of nanoparticlesreduced. The nanoparticles had maximum NLO susceptibility which was 3.09 × 10−12 esu. Susceptibility of αMnS increased about nine times than that of largest nanoparticles. However, it was reduced when size was further decreased. This trend was explained by the effects of light induced dipole moments. And defects in αMnS nanoparticles also had effect on this nonlinear process. MnS nanoparticles had potential application value in optical limiting and optical modulation.


2007 ◽  
Vol 244 (6) ◽  
pp. 2166-2171 ◽  
Author(s):  
Tingchao He ◽  
Yongguang Cheng ◽  
Changshun Wang ◽  
Tingjian Jia ◽  
Pengwei Li ◽  
...  

1995 ◽  
Vol 67 (3) ◽  
pp. 323-325 ◽  
Author(s):  
Fryad Z. Henari ◽  
Kai Morgenstern ◽  
Werner J. Blau ◽  
Vladimir A. Karavanskii ◽  
Vladimir S. Dneprovskii

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Estaner Claro Romão

The Galerkin Finite Element Method (GFEM) with 8- and 27-node hexahedrons elements is used for solving diffusion and transient three-dimensional reaction-diffusion with singularities. Besides analyzing the results from the primary variable (temperature), the finite element approximations were used to find the derivative of the temperature in all three directions. This technique does not provide an order of accuracy compatible with the one found in the temperature solution; thereto, a calculation from the third order finite differences is proposed here, which provide the best results, as demonstrated by the first two applications proposed in this paper. Lastly, the presentation and the discussion of a real application with two cases of boundary conditions with singularities are proposed.


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