We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry radius $R$ width $w$ subjected to magnetic flux. consider case where crystal symmetry is locally modified by replacing hexagon pentagon, square, heptagon or octagon. To model this type defect we include appropriate boundary conditions for angular coordinate. The electrons are fini...

We consider N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S. We show that, at finite weak ’t Hooft coupling, the theory is naturally described as a two dimensional Coulomb gas of complex eigenvalues of the Polyakov-Maldacena loop, valued on the cylinder. In the low temperature confined phase the eigenvalues condense onto a strip ...

Integral transform technique is employed to solve the elastodynamic problem of steadystate propagation of a Griffith crack centrally situated along the midplane of orthotropic strip of finite thickness 2h and subjected to point loading with centrally situated moving punches under constant pressure along the boundaries of the layer. The problem is reduced to the solution of a pair of simultaneou...

The off-diagonal profile φ od (v) associated with a local operator φ̂(v) (order parameter or energy density) close to the boundary of a semi-infinite strip with width L is obtained at criticality using conformal methods. It involves the surface exponent x φ and displays a simple universal behaviour which crosses over from surface finite-size scaling when v/L is held constant to corner finite-siz...