The effects of charge and finite 't Hooft coupling correction on drag force and jet quenching parameter are investigated. To study charge effect and finite 't Hooft coupling correction , we consider Maxwell charge and Gauss-Bonnet terms, respectively. The background is Reissner-Nordström-AdS black brane solution in Gauss-Bonnet gravity. It is shown that these corrections affect drag force and jet quenching parameter. We find an analytic solution of drag force in this background which depends on Gauss-Bonnet coupling and charge. We set Gauss-Bonnet coupling to be zero and find drag force in the case of Reissner-Nordström-AdS background. Also we discuss the relaxation time of a moving heavy quark in this gravity background.

Using the AdS/CFT correspondence, we study the heavy quark potential and the jet quenching parameter in the near horizon limit of D3-D(-1) background. The results are compared with those of conformal cases. It is shown that the presence of instantons tends to suppress the heavy quark potential and enhance the jet quenching parameter.

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the N = 4 supersymmetric Yang-Mills theory at large N c is carried out to the sub-leading term in the large 't Hooft coupling at a nonzero temperature. The strong coupling corresponds to the semi-classical expansion of the string-sigma model, the gravity dual of the Wilson loop operator, with the sub-leading term expressed in terms of functional determinants of fluctuations. The contribution of these determinants are evaluated numerically.

A calculation ofR2corrections to the jet quenching parameter from AdS/CFT correspondence is presented. It is shown that these corrections will increase or decrease the jet quenching parameter depending on the coefficients of the high curvature terms.

Cluster is the intermediate of individual atom and larger agglomeration. The structural evolutions of clusters are critically important to explore the physical properties of bulk solids. Here, we carry out systematic structure predictions of medium-sized vanadium-doped boron clusters by using CALYPSO method combined with DFT calculations. A great deal of low-lying isomers with attractive geometries are discovered, such as the crown-like VB18 − cluster and the drum-like VB20 − cluster. Interestingly, the VB12 − cluster possesses excellently relative stability due to its higher second-order difference and larger HOMO-LUMO energy gap. The molecular orbitals and AdNDP analysis indicate that the 3d orbitals of V atom and the 2p and 2s orbitals of B atoms are the primary constituents of the molecular orbitals, and the interactions between V and B atoms are the main factor for the robust stabilization of the anionic VB12 − cluster. The present findings advance the understanding of the structural evolution of transition metal doped boron clusters and offer crucial insights for future experiments.