Topological pair-density-wave superconducting states

Gil Young Cho, Rodrigo Soto-Garrido, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review


We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open boundary and at a junction with a uniform d-wave one-dimensional superconductor. Similarly to a conventional finite-momentum paired state, the order parameter of the PDW state is a charge-2e field with finite momentum. However, the order parameter here is a quartic electron operator and conventional mean-field theory cannot be applied to study this state. We use bosonization to show that the 1D PDW state has a MZM at a boundary. This superconducting state is an exotic topological phase supporting Majorana fermions with finite-momentum pairing fields and charge-4e superconductivity.

Original languageEnglish (US)
Article number256405
JournalPhysical review letters
Issue number25
StatePublished - Dec 19 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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