We present a theoretical framework for understanding the behavior of the normal and
superconducting states of overdoped cuprate high temperature superconductors in the …

We study the interplay of superconductivity and a wide spectrum of critical (multifractal) wave
functions (“spectrum-wide quantum criticality,” SWQC) in the one-dimensional Aubry-André …

We study superconductivity in a two-dimensional, disordered marginal Fermi liquid. At the
semiclassical level, the transition temperature T c is strongly suppressed because marginal …

With substantial evidence of glassy behavior in the phase diagram of high-T c
superconductors and its coexistence with superconductivity, we attempt to answer the …

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is
known to possess a nontrivial topological band structure. For this model, which is …

Scanning tunneling spectroscopy has recently discovered a positive correlation between the
magnitude of the superconducting gap and positions of dopant oxygen atoms in Bi-based …

We investigate the two-dimensional Hubbard model with next-nearest-neighbor hopping,
t′, using the dynamical cluster approximation. We confirm the existence of a first-order …

We show that at the level of BCS mean-field theory, the superconducting T c is always
increased in the presence of disorder, regardless of order parameter symmetry, disorder …

Striped phases, in which spin, charge, and pairing correlations vary inhomogeneously in the
CuO 2 planes, are a known experimental feature of cuprate superconductors, and are also …

We study the spectral and thermodynamic properties of inhomogeneous d-wave
superconductors within a model where the inhomogeneity originates from atomic-scale pair …