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Loop Currents and Anomalous Hall Effect from Time-Reversal Symmetry-Breaking Superconductivity on the Honeycomb Lattice
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0002-6166-181X
Number of Authors: 42019 (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
2019. Vol. 9, no 3, article id 031025
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-173153DOI: 10.1103/PhysRevX.9.031025ISI: 000480690500001OAI: oai:DiVA.org:su-173153DiVA, id: diva2:1354013
Available from: 2019-09-24 Created: 2019-09-24 Last updated: 2019-12-12Bibliographically approved

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