Pair density wave characterized by a hidden string order parameter

Abstract

A composite pairing structure of superconducting state is revealed by density matrix renormalization group study in a two-leg $t$-$J$ model. The pairing order parameter is composed of a pairing amplitude and a phase factor, in which the latter explicitly depends on the spin background with an analytic form identified in the anisotropic limit as the interchain hopping integral $t_{\perp }\to 0$. Such a string-like phase factor is responsible for a pair density wave (PDW) induced by spin polarization with a wavevector $Q_{\mathrm{PDW}}=2\pi m$ ($m$ the magnetization). By contrast, the pairing amplitude remains smooth, unchanged by the PDW. In particular, a local spin polarization can give rise to a sign change of the order parameter across the local defect. Unlike in an Fulde-Ferrell-Larkin-Ovchinnikov state, the nonlocal phase factor here plays a role as the new order parameter characterizing the PDW, whose origin can be traced back to the essential sign structure of the doped Mott insulator.

10 pages, 8 figures

References in corpus (16)

• 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
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• On the sign structure of doped Mott insulators
• Pair density wave order from electron repulsion
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Microscopic mechanism for fluctuating pair density wave
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder

Cited by in corpus (3)

• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order