The concept of mass generation by means of the Higgs mechanism was strongly inspired by
earlier works on the Meissner–Ochsenfeld effect in superconductors. In quantum field …

Recently, the THz spectroscopy has been efficiently used to investigate varieties of quantum
materials, including superconductors, novel magnetic, and topological materials. These …

The multifractal superconducting state originates from the interplay of Anderson localization
and interaction effects. In this article we overview the recent theory of the superconductivity …

Microwave circuit electrodynamics of disordered superconductors is a very active research
topic spawning a wide range of experiments and applications. For compact superconducting …

Relativistic O (N) field theories are studied near the quantum-critical point in two space
dimensions. We compute dynamical correlations by large-scale Monte Carlo simulations …

According to the Goldstone theorem the breaking of a continuous U (1) symmetry comes
along with the existence of low-energy collective modes. In the context of superconductivity …

There is growing evidence that a key feature of sufficiently disordered superconductors is
the spatial inhomogeneity of the order parameter. However, not much is known analytically …

The interplay of superconductivity and disorder generates a wealth of complex phenomena.
In particular, the peculiar structure of diffusive electronic wave functions is predicted to …

We use the density-matrix renormalization group method to investigate the superconductor-
insulator transition (SIT) in disordered quasi-one-dimensional systems. Focusing on the …

We study the superconductor-insulator quantum phase transition in disordered Josephson-
junction chains. To this end, we derive the field theory from the lattice model that describes a …