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Stripe order enhanced superconductivity in the Hubbard model
Hong-Chen Jiang1, Steven A Kivelson2
1Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Stanford University, Menlo Park, CA 94025; hcjiang@stanford.edu kivelson@stanford.edu.
Summary
Charge density wave order in cuprate superconductors may enhance superconductivity. Simulations show modulated stripe order significantly boosts superconducting correlations and creates a spin gap.
Area of Science:
- Condensed Matter Physics
- Materials Science
Background:
- Unidirectional charge density wave (stripe) order is common in cuprate superconductors, often competing with superconductivity.
- Theoretical models suggest stripe order might be crucial for high-temperature superconductivity.
Purpose of the Study:
- To investigate the potential positive role of stripe order in high-temperature superconductivity.
- To simulate the Hubbard model with modulated hopping to mimic stripe order.
Main Methods:
- Density matrix renormalization group (DMRG) studies.
- Simulations on long four- and six-leg Hubbard model cylinders.
- Periodic modulation of transverse hopping elements to simulate stripe order.
Main Results:
- Modest modulations mimicking stripe order greatly enhance long-distance superconducting correlations.
- The system transitions into a phase with a significant spin gap.
- Superconducting quasi-long-range order is observed with a specific Luttinger exponent.
Conclusions:
- Stripe order, or similar inhomogeneity, can positively influence superconductivity in cuprates.
- The findings support theoretical conjectures about the role of inhomogeneity in high-temperature superconductivity mechanisms.
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