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Quantum phase diagram of Shiba impurities from bosonization
Superconductivity · Submitted 5 Apr 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results indicate that the quantum phase diagram of the superconductor can be strongly affected by geometrical and dimensional effects.
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The abstract, sentence by sentence
A characteristic feature of Shiba impurities is the existence of a spin- and parity-changing quantum phase transition (known as "0-$\pi$" transition) which has been observed in scanning tunneling microscopy (STM) and transport experiments. Using the Abelian bosonization technique, here we analyze the ground-state properties and the quantum phase diagram of a classical (i.e., Ising-like) Shiba impurity. In particular, we analyze the cases of an impurity in a three- and a one-dimensional superconductor. Within the bosonization framework, the ground-state properties are determined by simple soliton-like solutions of the classical equations of motion of the bosonic fields, whose topological charge is related to the spin and parity quantum numbers. Our results indicate that the quantum phase diagram of the superconductor can be strongly affected by geometrical and dimensional effects. Exploiting this fact, in the one-dimensional case we propose an experimental superconducting nanodevice in which a novel parity-preserving, spin-changing "0-0" transition is predicted.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A characteristic feature of Shiba impurities is the existence of a spin- and parity-changing quantum phase transition (known as "0-$\pi$" transition) which has been observed in scanning tunneling microscopy (STM) and transport experiments. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s1 | Using the Abelian bosonization technique, here we analyze the ground-state properties and the quantum phase diagram of a classical (i.e., Ising-like) Shiba impurity. | contribution 0.91 | 0.94 | 0.07 | asserted 0.93 |
| s2 | In particular, we analyze the cases of an impurity in a three- and a one-dimensional superconductor. | contribution 0.97 | 0.71 | 0.03 | asserted 0.85 |
| s3 | Within the bosonization framework, the ground-state properties are determined by simple soliton-like solutions of the classical equations of motion of the bosonic fields, whose topological charge is related to the spin and parity quantum numbers. | method 0.96 | 0.81 | 0.10 | asserted 1.00 |
| s4 | Our results indicate that the quantum phase diagram of the superconductor can be strongly affected by geometrical and dimensional effects. | result 0.72 | 0.86 | 0.35 | hedged possibility 0.99 |
| s5 | Exploiting this fact, in the one-dimensional case we propose an experimental superconducting nanodevice in which a novel parity-preserving, spin-changing "0-0" transition is predicted. | contribution 0.38 | 0.85 | 0.46 | asserted 0.57 |
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Original abstract
A characteristic feature of Shiba impurities is the existence of a spin- and parity-changing quantum phase transition (known as "0-$\pi$" transition) which has been observed in scanning tunneling microscopy (STM) and transport experiments. Using the Abelian bosonization technique, here we analyze the ground-state properties and the quantum phase diagram of a classical (i.e., Ising-like) Shiba impurity. In particular, we analyze the cases of an impurity in a three- and a one-dimensional superconductor. Within the bosonization framework, the ground-state properties are determined by simple soliton-like solutions of the classical equations of motion of the bosonic fields, whose topological charge is related to the spin and parity quantum numbers. Our results indicate that the quantum phase diagram of the superconductor can be strongly affected by geometrical and dimensional effects. Exploiting this fact, in the one-dimensional case we propose an experimental superconducting nanodevice in which a novel parity-preserving, spin-changing "0-0" transition is predicted.
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This is reminiscent of a magnetic impurity in a 3-dimensional superconductor [ref] .
Kondo impurity at the edge of a superconducting wire · Introduction · 0.96
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