Topological Pair-Density-Wave Superconducting States

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 {\it 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.

5+epsilon pages, 45 references, 5 pages of supplemental material; v3: improved presentation, to appear in Phys. Rev. Lett

References in corpus (34)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• How to detect fluctuating order in the high-temperature superconductors
• Bosonization and Strongly Correlated Systems
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Nematic Fermi Fluids in Condensed Matter Physics
• The effects of interactions on the topological classification of free fermion systems
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Majorana Fermions and Disclinations in Topological Crystalline Superconductors
• Theory of the striped superconductor
• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Competing Orders in Coupled Luttinger Liquids
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
• Weak indices and dislocations in general topological band structures

Cited by in corpus (21)

• The Physics of Pair Density Waves
• Finite-momentum Cooper pairing in proximitized altermagnets
• Interaction-driven topological superconductivity in one dimension
• Microscopic mechanism for fluctuating pair density wave
• Stripe melting, a transition between weak and strong symmetry protected topological phases
• Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder
• Quasi One Dimensional Pair Density Wave Superconducting State
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Haldane phase in one-dimensional topological Kondo insulators
• Topology and the one-dimensional Kondo-Heisenberg model
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel Kondo chain
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Signature of Orbital Driven Finite Momentum Pairing in a 3D Ising Superconductor
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Topological pair density waves in kagome superconductors