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Loop Currents and Anomalous Hall Effect from Time-Reversal Symmetry-Breaking Superconductivity on the Honeycomb Lattice
Univ Otago, Dept Phys, POB 56, Dunedin 9054, New Zealand.;Univ Otago, MacDiarmid Inst Adv Mat & Nanotechnol, POB 56, Dunedin 9054, New Zealand..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..ORCID iD: 0000-0002-6166-181X
Univ Wisconsin, Dept Phys, Milwaukee, WI 53201 USA..
Univ Maryland, Dept Phys, CMTC, College Pk, MD 20742 USA.;Univ Maryland, JQI, College Pk, MD 20742 USA..
2019 (English)In: Physical Review X, ISSN 2160-3308, E-ISSN 2160-3308, Vol. 9, no 3, article id 031025Article in journal (Refereed) Published
Abstract [en]

We study a tight-binding model on the honeycomb lattice of chiral d-wave superconductivity that breaks time-reversal symmetry. Because of 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 electronlike 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.

Place, publisher, year, edition, pages
American Physical Society, 2019. Vol. 9, no 3, article id 031025
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-257439DOI: 10.1103/PhysRevX.9.031025ISI: 000480690500001Scopus ID: 2-s2.0-85074409510OAI: oai:DiVA.org:kth-257439DiVA, id: diva2:1348014
Note

QC 20190903

Available from: 2019-09-03 Created: 2019-09-03 Last updated: 2020-02-04Bibliographically approved

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