Microscopic Ginzburg-Landau theory and singlet ordering in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>Sr</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi>RuO</mml:mi></mml:mrow><mml:mn>4</mml:mn></mml:msub></mml:math>

Wagner, Glenn; Røising, Henrik S.; Flicker, Felix; Simon, Steven H.

doi:10.1103/physrevb.104.134506

Cited by 13 publications

(9 citation statements)

References 67 publications

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“…This puzzle has led to substantial theoretical activity. Two recent proposals are s ± i d 15 , 16 and d ± i g 17 , 18 order parameters, which require tuning to obtain T TRSB ≈ T c (where T TRSB is the time reversal symmetry breaking temperature), but avoid horizontal line nodes. A mixed-parity state 19 and superconductivity that breaks time reversal symmetry only in the vicinity of extended defects 20 have been proposed to account for the absence of a resolvable heat capacity anomaly at T TRSB 21 .…”

Section: Introductionmentioning

confidence: 99%

The superconductivity of Sr2RuO4 under c-axis uniaxial stress

et al. 2022

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Applying in-plane uniaxial pressure to strongly correlated low-dimensional systems has been shown to tune the electronic structure dramatically. For example, the unconventional superconductor Sr2RuO4 can be tuned through a single Van Hove point, resulting in strong enhancement of both Tc and Hc2. Out-of-plane (c axis) uniaxial pressure is expected to tune the quasi-two-dimensional structure even more strongly, by pushing it towards two Van Hove points simultaneously. Here, we achieve a record uniaxial stress of 3.2 GPa along the c axis of Sr2RuO4. Hc2 increases, as expected for increasing density of states, but unexpectedly Tc falls. As a first attempt to explain this result, we present three-dimensional calculations in the weak interaction limit. We find that within the weak-coupling framework there is no single order parameter that can account for the contrasting effects of in-plane versus c-axis uniaxial stress, which makes this new result a strong constraint on theories of the superconductivity of Sr2RuO4.

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Section: Introductionmentioning

confidence: 99%

The superconductivity of Sr2RuO4 under c-axis uniaxial stress

et al. 2022

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“…Again, considering strong SOC implies that all sectors are active, but the A 1g irrep is incompatible with the xy orbital sector if the strong antiferromagnetic nesting vector remains as important as we observe. Fourth, various works have proposed the g xy(x 2 −y 2 ) A 2g state [73,[93][94][95]. As a higher angular momentum version of d x 2 −y 2 , this state might involve too many gradients in k-space, thus pushing its eigenvalue lower than many other states.…”

Section: Subleading Gap Functionsmentioning

confidence: 99%

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

Gingras,

Allaglo,

Nourafkan

et al. 2022

Preprint

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The symmetry of the superconducting order parameters in multi-orbital systems involves many quantum numbers. Pairing mediated by electronic correlations being retarded, the frequency structure of superconducting order parameters bears important information. Here we generalize the frequency-dependent theory of superconductivity mediated by spin and charge fluctuations to systems with spin-orbit coupling. This formulation is applied to strontium ruthenate with a normal state obtained using density functional theory. Taking advantage of pseudospin and inversion symmetries, the inter-pseudospin sector of the normal state Eliashberg equation is mapped to a pseudospin-diagonal one. We find ubiquitous entanglement of spin and orbital quantum numbers, along with notable mixing between even-and odd-frequency correlations. We present the phase diagrams for leading and subleading symmetries in the pseudospin-orbital basis of Sr2RuO4. They are characterized using SP OT contributions, group theory, phase distributions in the complex plane and temperature dependence.

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“…This puzzle has led to substantial theoretical activity. Two recent proposals are s ± id [18,19] and d ± ig [14,20] order parameters, which require tuning to obtain T TRSB ≈ T c (where T TRSB is the time reversal symmetry breaking temperature) on the tetragonal lattice of Sr 2 RuO 4 , but avoid horizontal line nodes. A mixedparity state [21] and superconductivity that breaks time reversal symmetry only in the vicinity of extended de-fects [22] have been proposed to account for the absence of a resolvable heat capacity anomaly at T TRSB [23].…”

Section: Introductionmentioning

confidence: 99%

The Superconductivity of Sr$_2$RuO$_4$ Under $c$-Axis Uniaxial Stress

Jerzembeck,

Røising,

Steppke

et al. 2021

Preprint

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We compress the unconventional superconductor Sr2RuO4 along its c axis, achieving a maximum stress of 3.2 GPa, a record uniaxial stress for single-crystal Sr2RuO4. The energy of the Ru 4d xz and yz bands is raised relative to the xy band, which causes the largest Fermi surface sheet to expand. We present evidence that 3.2 GPa is about halfway to an electron-to-hole Fermi surface topological transition of this sheet. In line with qualitative expectations for increasing density of states, the upper critical field increases. However, Tc decreases. We present calculations of Tc in the limit of weak interactions that indicate that decreasing Tc could be obtained for order parameters that have nodes along the Γ-X and Γ-Y lines, but this conclusion is opposite to that reached from measurements under in-plane uniaxial stress. The data here therefore provide an important new constraint on theories of the superconductivity of Sr2RuO4, and the demonstration of a method to weaken the pairing interaction in Sr2RuO4 may provide a clue as to what the pairing interaction is.

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Microscopic Ginzburg-Landau theory and singlet ordering inSr2RuO4

Cited by 13 publications

References 67 publications

The superconductivity of Sr2RuO4 under c-axis uniaxial stress

The superconductivity of Sr2RuO4 under c-axis uniaxial stress

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

The Superconductivity of Sr$_2$RuO$_4$ Under $c$-Axis Uniaxial Stress

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