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Topological Pair-Density-Wave Superconducting States

Gil Young Cho, Rodrigo Soto-Garrido, Eduardo Fradkin

DOI 10.1103/PhysRevLett.113.256405 · Physical Review Letters

T1

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Abstract

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.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
La2-xBaxCuO4

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4Pressure not reportedunknown

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