Inversion symmetry of Josephson current as test of chiral domain wall motion in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>RuO</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>

Saitoh, Kohta; Kashiwaya, Satoshi; Kashiwaya, Hiromi; Mawatari, Yasunori; Asano, Yasuhiro; Tanaka, Yukio; Maeno, Y.

doi:10.1103/physrevb.92.100504

Cited by 22 publications

(25 citation statements)

References 28 publications

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“…66 ). A number of observations are qualitatively consistent with such a hypothesis 51,56,67,68 , therefore seemingly favouring the existence of an odd parity order parameter, but the estimates of the characteristic sizes of such domains vary widely.…”

Section: Experiments Probing Time Reversal Symmetry Breakingmentioning

confidence: 81%

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4

et al. 2017

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In this short review, we aim to provide a topical update on the status of efforts to understand the superconductivity of Sr2RuO4. We concentrate on the quest to identify a superconducting order parameter symmetry that is compatible with all the major pieces of experimental knowledge of the material, and highlight some major discrepancies that have become even clearer in recent years. As the pun in the title suggests, we have tried to start the discussion from scratch, making no assumptions even about fundamental issues such as the parity of the superconducting state. We conclude that no consensus is currently achievable in Sr2RuO4, and that the reasons for this go to the heart of how well some of the key probes of unconventional superconductivity are really understood. This is therefore a puzzle that merits continued in-depth study.normal state is a well-understood Fermi liquid. Secondly, the extremely high purity of the best available samples means that disorder is not nearly as big a complicating factor in experiments as it is in most other materials. Thirdly, the disorder sensitivity of the superconductivity comes because as well as the order parameter being unconventional, the coherence length in the superconducting state is rather long: approximately 750 Å. This means that the thermodynamic features expected of a mean-field, BCS-like transition are seen, and that the superconducting state averages over microscopic detail in a way that is seldom the case for materials with unconventional order parameters whose coherence volumes contain only a few electrons.The fact that full understanding of the superconducting state of Sr2RuO4 has not yet been achieved shows the level of challenge that still exists at the interface between theory and experiment in quantum materials, and strongly motivates a new generation of research on this fascinating material. Our goal is to frame that research by highlighting the main problems with finding a fully self-consistent description of the key experimentally determined features of the superconducting state, and to speculate about how the current mysteries might, in future, be resolved. Because a number of lengthy and detailed reviews of the properties of Sr2RuO4 already exist 3,6,[19][20][21][22] , we will not attempt to be comprehensive. Instead, we will select the issues that we believe to be the most important, and highlight those. We believe that the discussion we will give has

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Section: Experiments Probing Time Reversal Symmetry Breakingmentioning

confidence: 81%

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4

et al. 2017

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“…Experimentally it is difficult to make a superconducting sample with a specular surface. For instance, a small ruthenate superconductor cluster can be fabricated by using the focused ion beam technique [23,24], which would seriously damage the sample quality near the surface. Several theoretical papers have already suggested the presence of edge states in a chiral p-wave superconductor when there is surface roughness [25,26].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous edge current in a small chiral superconductor with a rough surface

Suzuki

Asano

2016

Phys. Rev. B

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We study theoretically the spontaneous edge current in a small chiral superconductor with surface roughness. We obtained self-consistent solutions of the pair potential and the vector potential by solving the quasiclassical Eilenberger equation and the Maxwell equation simultaneously. We then employed them to calculate numerically the spatial distribution of the chiral edge current in a small superconductor. The characteristic behavior of the spontaneous edge current depends strongly on the symmetries of the order parameters such as chiral p-, chiral d-, and chiral f -wave pairing. The edge current is robust under the surface roughness in the chiral p-and chiral d-wave superconductors. In the chiral d-wave case, the surface roughness tends to flip the direction of the chiral current. On the other hand, the edge current in a chiral f -wave superconductor is fragile when there is surface roughness. We also discuss the temperature dependence of a spontaneous magnetization, which is a measurable value in standard experiments.

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“…Here we propose a possible phenomenon which might reconcile this. In view of the Z 2 symmetry breaking associated with the doubly degenerate nematic states, domains of different nematic orientations could coexist, as has indeed been implicated in a number of measurements [79][80][81][82]. For a state breaking U (1) × Z 2 symmetry, Z 2 domains can be formed, the corners of which could attach Z 2 vortices carrying half quantum fluxes [74][75][76].…”

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confidence: 99%

Possible 3D nematic odd-parity pairing in Sr$_2$RuO$_4$: experimental evidences and predictions

Huang,

Zhou,

Yao

2019

Preprint

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Due to the presence of a nontrivial three-dimensional spin-orbital entanglement, Sr2RuO4 may be a timereversal invariant nematic p-wave superconductor with coexisting in-plane and out-of-plane pairings. Here we discuss various signatures of such a state if the out-of-plane pairing component is dominant. First, the enhancement of the superconducting Tc under in-plane uniaxial strains is nearly a quadratic function of the strain, because the out-of-plane pairing lacks a linear-order coupling to the strain. Second, when the strain applies along a certain in-plane direction, the nematic p-wave pairing exhibits only a single phase transition as the temperature is lowered. These are consistent with several recent uniaxial strain measurements, which are otherwise hard to reconcile with chiral p-wave order. We further show that the nematic p-wave state can be distinguished from the chiral p-wave state through the velocity jumps of certain sound waves at the onset of superconductivity. Possible implications for µSR experiment under strain and NMR Knight shift measurement are also discussed.

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Inversion symmetry of Josephson current as test of chiral domain wall motion inSr2RuO4

Cited by 22 publications

References 28 publications

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4

Spontaneous edge current in a small chiral superconductor with a rough surface

Possible 3D nematic odd-parity pairing in Sr$_2$RuO$_4$: experimental evidences and predictions

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