The integration of radiofrequency electronic methodologies on micro- as well as nanoscale platforms is crucial for information processing and data-storage technologies. In electronics, radiofrequency signals are controlled and manipulated by 'lumped' circuit elements, such as resistors, inductors and capacitors. In earlier work, we theoretically proposed that optical nanostructures, when properly designed and judiciously arranged, could behave as nanoscale lumped circuit elements--but at optical frequencies. Here, for the first time we experimentally demonstrate a two-dimensional optical nanocircuit at mid-infrared wavelengths. With the guidance of circuit theory, we design and fabricate arrays of Si3N4 nanorods with specific deep subwavelength cross-sections, quantitatively evaluate their equivalent impedance as lumped circuit elements in the mid-infrared regime, and by Fourier transform infrared spectroscopy show that these nanostructures can indeed function as two-dimensional optical lumped circuit elements. We further show that the connections among nanocircuit elements, in particular whether they are in series or in parallel combination, can be controlled by the polarization of impinging optical signals, realizing the notion of 'stereo-circuitry' in metatronics-metamaterials-inspired optical circuitry.

Mammalian target of rapamycin (mTOR) signaling has been suggested to be effective in modifying cognitive status in animal models of Alzheimer's disease (AD), but little is known about its role in AD patients. We hereby tested whether mTOR signaling was activated and whether activated mTOR signaling was related to the degree of cognitive deficits in patients with AD. Autopsy brain hippocampal tissues were obtained from controls and patients with AD and Western blots were performed using antibodies against mTOR signaling molecules and RagC, an upstream component of mTOR complex 1 (mTORC1) signaling. We found that expression of mTOR/p-mTOR and its downstream targets S6/p-S6 and Raptor/p-Raptor were expressed in the control and AD hippocampus. The expression levels of these signaling molecules were significantly increased in the hippocampus at the severe stages of AD, compared to controls and other stages of AD. Interestingly, Rictor expression level was unaltered. In addition, RagC was increased in the hippocampus at the early, moderate, and severe stages of AD. Our data indicate that mTORC1, but not mTORC2, was activated in the AD brains and that the level of mTOR signaling activation was correlated with cognitive severity of AD patients.

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We investigate the magneto-optical response of double Weyl semimetals whose energy dispersion is intrinsically anisotropic. We find that in the presence of a magnetic field, the most salient feature of the optical conductivity is a series of resonant peaks with the corresponding frequencies scaling linearly with the strength of the magnetic field. In addition, the optical conductivity is found to be anisotropic, with two of the three longitudinal components residing at a linear background and the remaining one at a constant background. The effects of chemical potential, temperature, impurity scattering, and particle-hole symmetry breaking on the optical conductivity are also studied.Comment: 7 pages, 5 figure

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We have systematically investigated the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic impurities in Weyl semimetals with arbitrary monopole charge Q. We find that the RKKY interaction becomes intrinsically anisotropic for Q ≥ 2, and its dependence on Fermi energy and impurity separation is directly controlled by the monopole charge. With the increase of Q, the RKKY interaction becomes more long-ranged and more anisotropic, which makes interesting magnetic orders easier to form and thus may have important applications in spintronics.