Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
arXiv:1503.08762 · doi:10.1103/PhysRevB.92.125422
Abstract
We theoretically study bound states generated by magnetic impurities within conventional -wave superconductors, both analytically and numerically. In determining the effect of the hybridization of two such bound states on the energy spectrum as a function of magnetic exchange coupling, relative angle of magnetization, and distance between impurities, we find that quantum phase transitions can be modulated by each of these parameters. Accompanying such transitions, there is a change in the preferred spin configuration of the impurities. Although the interaction between the impurity spins is overwhelmingly dominated by the quasiparticle contribution, the ground state of the system is determined by the bound state energies. Self-consistently calculating the superconducting order parameter, we find a discontinuity when the system undergoes a quantum phase transition as indicated by the bound state energies.
8 pages, 7 figures
References in corpus (13)
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Nanoscale magnetic imaging of a single electron spin under ambient conditions
- Majorana qubit decoherence by quasiparticle poisoning
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Number fluctuations of sparse quasiparticles in a superconductor
- Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
- Nuclear Magnetism and Electronic Order in 13C Nanotubes
- Superconducting Gap Renormalization around two Magnetic Impurities: From Shiba to Andreev Bound States
- Self-organized topological state in the magnetic chain on the surface of a superconductor
- RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
- Phase diagram and excitations of a Shiba molecule
- Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
- Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
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