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Topological pair-density-wave superconducting states.

Gil Young Cho1, Rodrigo Soto-Garrido1, Eduardo Fradkin2

  • 1Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.

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Summary
This summary is machine-generated.

We discovered a topological superconducting state called the pair-density-wave (PDW) state. This state supports Majorana zero modes (MZMs) at boundaries, offering new possibilities for topological quantum computing.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Superconductivity

Background:

  • The pair-density-wave (PDW) state is an exotic superconducting phase.
  • Understanding its topological properties is crucial for novel electronic applications.
  • Conventional mean-field theories are insufficient for studying quartic electron operators.

Purpose of the Study:

  • To investigate the topological nature of the PDW state in two-leg ladders.
  • To determine the existence and location of Majorana zero modes (MZMs).
  • To explore the implications of finite-momentum pairing and charge-4e superconductivity.

Main Methods:

  • Utilizing extended Heisenberg-Hubbard models.
  • Applying bosonization techniques for theoretical analysis.
  • Examining open boundaries and junctions with d-wave superconductors.

Main Results:

  • The PDW state in two-leg ladders exhibits topological properties with Ising spin symmetry.
  • A Majorana zero mode (MZM) is found at open boundaries.
  • MZMs are also present at junctions with uniform d-wave 1D superconductors.
  • The PDW state supports finite-momentum pairing and charge-4e superconductivity.

Conclusions:

  • The PDW state represents a novel topological phase of matter.
  • Its unique properties, including MZMs, open avenues for fault-tolerant quantum computing.
  • This research advances the understanding of exotic superconductivity and topological phases.