Ashot Melikyan

Dopant-Modulated Pair Interaction in Cuprate Superconductors

A comparison of recent experimental STM data with single-impurity and many-impurity Bogoliubov-de Gennes calculations strongly suggests that random out-of-plane dopant atoms in cuprates modulate the pair interaction locally. This type of disorder is crucial to understanding the nanoscale electronic inhomogeneity observed in BSCCO-2212, and can reproduce observed correlations between the positions of impurity atoms and various aspects of the local density of states such as the gap magnitude and the height of the coherence peaks. Our results imply that each dopant atom modulates the pair interaction on a length scale of order one lattice constant.

Thermodynamic transitions in inhomogeneous d -wave superconductors

We study the spectral and thermodynamic properties of inhomogeneous

Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice

d

Index theoretic characterization of d-wave superconductors in the vortex state

-wave superconductors within a model where the inhomogeneity originates from atomic-scale pair disorder. This assumption has been shown to be consistent with the small charge and large gap modulations observed by scanning tunneling spectroscopy on

Andreev States near Short-Ranged Pairing Potential Impurities

{\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2}{\mathrm{CaCu}}_{2}{\mathrm{O}}_{8+x}

Signatures of modulated pair interaction in cuprate superconductors

. Here we calculate the specific heat within the same model, and show that it gives a transition width comparable to those found in experiments on this material. This suggests that nanoscale inhomogeneity is a bulk property of the

Gap Distributions in Cuprate Superconductors

{\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2}{\mathrm{CaCu}}_{2}{\mathrm{O}}_{8+x}

Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder

materials.

Mixed state of a lattice d -wave superconductor

In the mixed state of an extreme type-II

Index theorem and quantum order of d-wave superconductors in the vortex state

d