Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly

The discovery of a chiral anomaly in Weyl semimetals, the non-conservation of chiral charge and energy across two opposite chirality Weyl nodes, has sparked immense interest in understanding its impact on various physical phenomena. Here, we demonstrate the existence of electrical, thermal, and gravitational quantum chiral anomalies in 3D spin-orbit coupled systems. Notably, these anomalies involve chiral charge transfer across two Fermi surfaces linked to a single Weyl-like point, rather than across opposite chirality Weyl nodes as in Weyl semimetals. Our findings reveal that the Berry curvature flux piercing the Fermi surface plays a critical role in distinguishing the `chirality' of the carriers and the corresponding chiral charge and energy transfer. Importantly, we demonstrate that these quantum chiral anomalies lead to interesting thermal spin transport such as the spin Nernst effect. Our results suggest that 3D spin-orbit coupled metals offer a promising platform for investigating the interplay between quantum chiral anomalies and charge and spin transport in non-relativistic systems.Comment: 14 pages, and 4 figures. Seeking feedback, criticism or comments on this pape

Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field

Magnetotransport and magneto-optics experiments offer a very powerful probe for studying the physical properties of materials. Here, we investigate the second-order nonlinear magnetoconductivity of tilted type-I Weyl and multi-Weyl semimetal. In contrast to the presence of chiral anomaly in the linear response regime, we show that Weyl semimetal do not host chiral charge pumping in the nonlinear transport regime. We predict that an inversion symmetry broken and tilted Weyl semimetal can support finite longitudinal nonlinear magnetoconductivity, which is otherwise absent in untilted Weyl semimetal. The nonlinear magnetoconductivity vanishes in the ultra-quantum limit, oscillates in the intermediate magnetic field regime and saturates in the semiclassical limit. The nonlinear magnetoconductivity depends intricately on the tilt orientation, and it can be used to determine the tilt orientation in Weyl and multi-Weyl semimetals, via nonlinear magnetoresistivity or second harmonic generation experiments.Comment: 10 pages, 5 figures, Comments are welcom

Exploring the Role of Corporate Social Responsibility in Economic Development-A Theoretical Framework

The central aim of enhancing economic productivity of India is to improve the overall development of majority of Indian industries or corporate sectors who are not at par with govt. rules and regulation, So there is a need  of proper implementation of different corporate law which will bring some sort of economic growth vis a vis economic development. As we are observing since 7 decades after independence, the existence of corporate sector is not so fruitful to bring the economic development and growth in the country. There are many factors which are considered to be a major hindrance to overall development. There is a plea for the integrated view of the development which should embrace development in all sectors. In specific there should be growth and development in all sectors. In specific, there should be growth and development in all aspects basically in industrial sectors which are called the back bone of Indian economy. Which encompasses status, equality, security, complete physical, mental, and social well being of the target group especially the Indian population. Under the Corporate Social Responsibility the companies are supposed to set aside at least 2% of their average profit in the last three years for CSR activities. The law has listed out a wide range of activities under CSR, which cover activities such as promotion of education, gender equity and women’s empowerment, combating HIV/AIDS, malaria and other diseases, eradication of extreme poverty, contribution to the Prime Minister’s National Relief Fund and other central funds, social business projects, reduction in child mortality, improving maternal health, environmental sustainability and employment enhancing vocational skills among others

Nonlinear magnetotransport in Weyl semimetal

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of the band geometric quantities, such as the Berry curvature, and the magnetic part of the Lorentz force can give rise to finite nonlinear Hall conductivity that is linear in the magnetic field. Such nonlinear Hall conductivity can manifest through nonlinear transport measurement as well as nonlinear optical phenomena like photocurrent and the second harmonic generation.Comment: 10 pages, 1 figure; Revised to correct minor typos and add a few more reference