Fragmented Cooper pair condensation in striped superconductors

Abstract

Condensation of bosons in Bose-Einstein condensates or Cooper pairs in superconductors refers to a macroscopic occupation of a few single- or two-particle states. A condensate is called "fragmented" if not a single, but multiple states are macroscopically occupied. While fragmentation is known to occur in particular Bose-Einstein condensates, we propose that fragmentation naturally takes place in striped superconductors. To this end, we investigate the nature of the superconducting ground state realized in the two-dimensional $t$-$t^{\prime }$-$J$ model. In the presence of charge density modulations, the condensate is shown to be fragmented and composed of partial condensates located on the stripes. The fragments of the condensates hybridize to form an extended macroscopic wave function across the system. The results are obtained from evaluating the singlet-pairing two-particle density matrix of the ground state on finite cylinders computed via the density matrix renormalization group (DMRG) method. Our results shed light on the intricate relation between stripe order and superconductivity in systems of strongly correlated electrons.

5 pages, 6 figures

References in corpus (13)

• The Hubbard Model
• The Hubbard model: A computational perspective
• Fragmentation of Bose-Einstein Condensates
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• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Production and characterization of a fragmented spinor Bose-Einstein condensate
• Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
• Effects of fermion exchanges on the polarization of exciton condensates

Cited by in corpus (12)

• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
• Charge Stripe Manipulation of Superconducting Pairing Symmetry Transition
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Superfluid dome in the spatially modulated two-dimensional XY model
• Odd-frequency superfluidity from a particle-number-conserving perspective