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Fragmented Cooper Pair Condensation in Striped Superconductors
1Center for Computational Quantum Physics, Flatiron Institute, 162 Fifth Avenue, New York, New York 10010, USA and Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, Dresden 01187, Germany.
Superconductors with charge density modulations exhibit fragmented condensates, where partial condensates on stripes hybridize. This fragmentation is a natural phenomenon in striped superconductors, revealing a link between stripe order and superconductivity.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Materials science
Background:
- Superconductivity involves the formation of Cooper pairs, leading to macroscopic quantum states.
- Condensate fragmentation occurs when multiple quantum states are occupied, unlike in standard Bose-Einstein condensates.
Purpose of the Study:
- To investigate the natural occurrence of condensate fragmentation in striped superconductors.
- To explore the superconducting ground state within the two-dimensional t-t'-J model.
Main Methods:
- Utilizing the density matrix renormalization group (DMRG) method.
- Evaluating the singlet-pairing two-particle density matrix of the ground state on finite cylinders.
Main Results:
- Demonstrated that the superconducting condensate in the presence of charge density modulations is fragmented.
- Identified partial condensates localized on electronic stripes.
- Showed hybridization of these partial condensates into an extended macroscopic wave function.
Conclusions:
- Stripe order in superconductors naturally leads to condensate fragmentation.
- Fragmentation is a key feature linking stripe order and superconductivity in strongly correlated electron systems.
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