Kerr Effect from Diffractive Skew Scattering in Chiral 
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 Superconductors

König, Elio J.; Levchenko, Alex

doi:10.1103/physrevlett.118.027001

Cited by 32 publications

(46 citation statements)

References 40 publications

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“…However, many of the recent discoveries [142][143][144][145][146][147][148][149][150][151][152][153] have been left, partly due to lack of space in this short review. We only mention that the recent work 152…”

Section: Discussionmentioning

confidence: 99%

Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond

Wysokiński

2019

Condensed Matter

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The paper reviews recent work on time reversal symmetry (TRS) breaking superconductors. The family of TRS breaking superconductors is growing relatively fast, with many of its newly discovered members being non-centrosymmetric. However, many of the superconductors which possess center of inversion also break TRS. The TRS is often identified by means of the muon spin relaxation effect (µSR) or/and the Kerr effect. Both methods effectively measure the spontaneous appearance of the bulk magnetic field below superconducting transition temperature. One of the systems most carefully studied so far is Sr 2 RuO 4 believed to be spin triplet chiral p-wave superconductor. This compound provides an example of the material whose many band, multi-condensate modelling has enjoyed a number of successes. We discuss in some details the properties of the material. Among them is the polar Kerr effect, which understanding has resulted in the discovery of the novel mechanism of the phenomenon. The mechanism is universal and thus applicable to all systems with multiorbital character of states at the Fermi energy. PACS numbers: * Electronic address: karol@tytan.umcs.lublin.pl 1 Bednorz, J.G.; Mller, K.A. Possible high-T c superconductivity in the Ba-La-Cu-O system. 2 Steglich, F.; Aarts, J.; Bredl, C.D.; Lieke, W. ; Meschede, D.; Franz, W.; Schfer, H. Superconductivity in the presence of strong Pauli paramagnetism: CeCu 2 Si 2 . Phys. Rev. Lett. 1979, perconducting State of Sr 2 RuO 4 . Phys. Rev. Lett. 2012, 108, 077004. 16 Bae, S.; Tan, Y.; Zhuravel, A.P.; Zhang, L.; Zeng, S.; Liu, Y.; Lograsso, T.A.; Prozorov, R.; Venkatesan, A.T.; Anlage, S.M. Dielectric Resonator Method For Determining Gap Symmetry Of Superconductors Through Anisotropic Nonlinear Meissner Effect. 2019, arXiv:1901.08762.. 17 Schemm, E.R.; Levenson-Falk, E.M.; Kapitulnik, A. Polar Kerr effect studies of time reversal symmetry breaking states in heavy fermion superconductors. Physica C: Superconductivity and its applications 2017, 535, 13-19. 19 Yerin, Y.; Omelyanchouk, A.; Drechsler, S.L.; Efremov, D.V.; van den Brink, J. Anomalous diamagnetic response in multiband superconductors with broken time-reversal symmetry. Phys. Rev. B 2017, 96, 144513. Gong, X.; Kargarian, M.; Stern, A.; Yue, D.; Zhou, H.; Jin, X.; Galitski, V.M.; Yakovenko, V.M.; Xia, J. Time-reversal symmetry-breaking superconductivity in epitaxial bismuth/nickel bilayers. 22 Xia, J.; Schemm, E.; Deutscher, G.; Kivelson, S.A.; Bonn, D.A.; Hardy, W.N.; Liang, R.; Siemons, W.; Koster, G.; Fejer, M.M.; Kapitulnik, A. Polar Kerr-Effect Measurements of the High-Temperature YBa 2 Cu 3 O 6+x Superconductor: Evidence for Broken Symmetry near the Pseudogap Temperature. Biswas, P.K.; Cottrell, S.P.; Xiang, H.; Yao, X.; MacLaughlin, D.E.; Shu, L. Discovery of slow magnetic fluctuations and critical slowing down in the pseudogap phase of YBa 2 Cu 3 O y ,. Sci.

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Section: Discussionmentioning

confidence: 99%

Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond

Wysokiński

2019

Condensed Matter

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“…(2) and the superconducting corrections in Eqs. (23) and (24) of the Chern numbers of the occupied bands 3 and 4 remains −2. This is consistent with the mass gaps at K and K having the same sign, which is topologically trivial.…”

Section: Topological Mass Gapmentioning

confidence: 97%

“…(24) Note that Eqs. (23) and (24) 22) is proportional to the unit matrix in the limit of vanishing q. Equation (21) can be interpreted as an effective normal-state Hamiltonian with the second-order perturbative correction due to superconducting pairing.…”

Section: Topological Mass Gapmentioning

confidence: 99%

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Loop Currents and Anomalous Hall Effect from Time-Reversal Symmetry-Breaking Superconductivity on the Honeycomb Lattice

et al. 2019

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We study a tight-binding model on the honeycomb lattice of chiral d-wave superconductivity that breaks time-reversal symmetry. Due to its nontrivial sublattice structure, we show that it is possible to construct a gauge-invariant time-reversal-odd bilinear of the pairing potential. The existence of this bilinear reflects the sublattice polarization of the pairing state. We show that it generates persistent loop current correlations around each lattice site and opens a topological mass gap at the Dirac points, resembling Haldane's model of the anomalous quantum Hall effect. In addition to the usual chiral d-wave edge states, there also exist electron-like edge resonances due to the topological mass gap. We show that the presence of loop-current correlations directly leads to a nonzero intrinsic ac Hall conductivity, which produces the polar Kerr effect without an external magnetic field. Similar results also hold for the nearest-neighbor chiral p-wave pairing. We briefly discuss the relevance of our results to superconductivity in twisted bilayer graphene.

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“…In Sr 2 RuO 4 this has been interpreted in different ways. One is to invoke impurity scattering 8 – 10 . Another is to attribute the effect to interband transitions between bands that cross the Fermi energy 11 , 12 .…”

Section: Introductionmentioning

confidence: 99%

Superconductivity in Empty Bands and Multiple Order Parameter Chirality

Joynt

2017

Sci Rep

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Recent experiments have shown rotation of the plane of polarization of light reflected from the surface of some superconductors. The photon energy exceeds the electronic bandwidth, so that completely filled or completely empty bands must play a role. We show that in strong-coupling theory a Coulomb interaction can produce an order parameter in the unoccupied band that explains the observations. Thus the phenomenology puts tight constraints on the form of the order parameter in different bands. We propose that the experiments have detected, for the first time, the existence of a superconducting order parameter in a band far from the Fermi energy. This is only possible because of the sensitivity to delicate symmetries: a positive Kerr effect indicates that time reversal and certain mirror symmetries are broken in the ordered phase. Furthermore, detailed analysis of the results implies that in UPt3 there exist bands that have different order parameter chiralities, opening up complex new possibilities for topological superconductivity.

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Kerr Effect from Diffractive Skew Scattering in Chiral px±ipy Superconductors

Cited by 32 publications

References 40 publications

Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond

Time Reversal Symmetry Breaking Superconductors: Sr2RuO4 and Beyond

Loop Currents and Anomalous Hall Effect from Time-Reversal Symmetry-Breaking Superconductivity on the Honeycomb Lattice

Superconductivity in Empty Bands and Multiple Order Parameter Chirality

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