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DC-current induced domain wall in a chiral $p$-wave superconductor
Superconductivity · Submitted 5 Nov 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Performing quasiclassical calculations on a two-dimensional system, with an external magnetic flux to generate a DC current, we show that the current can trigger a transition to a state with a domain wall between regions of different chiralities.
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We study theoretically the impact of an applied DC-current on a mesoscopic chiral $p$-wave superconductor. Performing quasiclassical calculations on a two-dimensional system, with an external magnetic flux to generate a DC current, we show that the current can trigger a transition to a state with a domain wall between regions of different chiralities. The system shows an hysteretic behavior, as different domain wall configurations are possible for a given current. This domain wall creation mechanism can give new insights on recent experiments observing anomalous current variations in Sr${}_2$RuO${}_4$ junctions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study theoretically the impact of an applied DC-current on a mesoscopic chiral $p$-wave superconductor. | contribution 0.97 | 0.88 | 0.04 | unclear 0.51 |
| s1 | Performing quasiclassical calculations on a two-dimensional system, with an external magnetic flux to generate a DC current, we show that the current can trigger a transition to a state with a domain wall between regions of different chiralities. | result 0.67 | 0.94 | 0.82 | asserted 0.99 |
| s2 | The system shows an hysteretic behavior, as different domain wall configurations are possible for a given current. | result 1.00 | 0.88 | 0.15 | asserted 1.00 |
| s3 | This domain wall creation mechanism can give new insights on recent experiments observing anomalous current variations in Sr${}_2$RuO${}_4$ junctions. | interpretation 1.00 | 0.18 | 0.11 | hedged possibility 0.98 |
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Original abstract
We study theoretically the impact of an applied DC-current on a mesoscopic chiral $p$-wave superconductor. Performing quasiclassical calculations on a two-dimensional system, with an external magnetic flux to generate a DC current, we show that the current can trigger a transition to a state with a domain wall between regions of different chiralities. The system shows an hysteretic behavior, as different domain wall configurations are possible for a given current. This domain wall creation mechanism can give new insights on recent experiments observing anomalous current variations in Sr${}_2$RuO${}_4$ junctions.
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[ref] We write $ĝ$ in terms of the Ricatti amplitudes $a$ and $b$ (we now omit the $𝐫$, $𝐤_F$ and $ω_n$ dependence for brevity), with: [equation] The amplitudes $a$ and $b$ obey the Ricatti equations: [equation] As the derivate appears only in $𝐯_F·∇$, the Ricatti equations can be written as 1d equations along the semi-classical trajectories (given by the direction of $𝐯_F$).
Transformation of the Eilenberger Equations of Superconductivity to a Scalar Riccati Equation · Quasiclassical Theory · 0.95
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