Ground-state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors

Teemu Ojanen*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)
109 Downloads (Pure)


Recently, it was discovered that the ground-state orbital angular momentum in two-dimensional chiral superfluids with pairing symmetry (px+ipy)ν depends on the winding number ν in a striking manner. The ground-state value for the ν=1 case is Lz=N/2 as expected by counting the Cooper pairs, while a dramatic cancellation takes place for ν>1. The origin of the cancellation is associated with the topological edge states that appear in a finite geometry and give rise to a spectral asymmetry. Here, we study the reduction of orbital angular momentum for different potential profiles and pairing strengths, showing that the result Lz=N/2 is robust for ν=1 under all studied circumstances. We study how angular momentum depends on the gap size Δ/EF and obtain the result Lz=ν2N(1-μEF) for ν=2,3. Thus, the gap dependence of Lz for ν

Original languageEnglish
Article number174505
Pages (from-to)1-10
JournalPhysical Review B
Issue number17
Publication statusPublished - 10 May 2016
MoE publication typeA1 Journal article-refereed

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