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Localization of preformed Cooper pairs in disordered superconductors
Disorder leads to localization of electrons at low temperatures, changing metals to insulators. In a superconductor the electrons are paired up, and scanning tunnelling microscopy shows that the
Collapse of superconductivity in a hybrid tin-graphene Josephson junction array
When a Josephson junction array is built with hybrid superconductor/metal/superconductor junctions, a quantum phase transition from a superconducting to a two-dimensional (2D) metallic ground state
Superconductor-Insulator transition and energy localization
We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to
Hidden supersymmetry of stochastic dissipative dynamics
It is shown that the generating functional of dissipative dynamics in a potential force field can be reduced to the form of the functional integral of Euclidian supersymmetric field theory. The
Protected qubits and Chern-Simons theories in Josephson junction arrays
We present general symmetry arguments that show the appearance of doubly degenerate states protected from external perturbations in a wide class of Hamiltonians. We construct the simplest spin
Keldysh action for disordered superconductors
The Keldysh representation of the functional integral for the interacting electron system with disorder is used to derive microscopically an effective action for dirty superconductors. In the most
Topologically protected quantum bits using Josephson junction arrays
It is shown how strongly correlated systems developing an isolated twofold degenerate quantum dimer liquid ground state can be used in the construction of topologically stable qubits, and their implementation using Josephson junction arrays is discussed.
Eigenfunction fractality and pseudogap state near the superconductor-insulator transition.
We develop a theory of a pseudogap state appearing near the superconductor-insulator (SI) transition in strongly disordered metals with an attractive interaction. We show that such an interaction
Topologically protected quantum bits from Josephson junction arrays
All physical implementations of quantum bits (qubits), carrying the information and computation in a putative quantum computer, have to meet the conflicting requirements of environmental decoupling
Environmentally decoupled sds -wave Josephson junctions for quantum computing
Quantum computers have the potential to outperform their classical counterparts in a qualitative manner, as demonstrated by algorithms which exploit the parallelism inherent in the time evolution of