Frustration-Induced Superconductivity in the t-t^{'} Hubbard Model

Area of Science:

• Condensed Matter Physics
• Quantum Materials Science

Background:

• The two-dimensional Hubbard model is a key theoretical framework for understanding high-temperature superconductivity in cuprates.
• Magnetic orders are known to compete with superconducting states, complicating the search for high-T_{c} superconductivity.

Purpose of the Study:

• To investigate the impact of magnetic orders on superconductivity within the doped two-dimensional t-t' Hubbard model.
• To understand the role of particle-hole asymmetry and magnetic frustration in stabilizing superconducting states.

Main Methods:

• Utilizing the infinite projected entangled-pair state (iPEPS) method.
• Employing U(1) and SU(2) spin symmetries to differentiate between states with and without antiferromagnetic order.

Main Results:

• A positive t'/t ratio significantly enhances superconducting orders.
• At higher doping levels, the model favors uniform superconducting states over stripe phases.
• Increased magnetic frustration, through stronger interactions or doping, suppresses stripe orders and promotes superconductivity.

Conclusions:

• Magnetic frustration plays a crucial role in stabilizing superconductivity by disrupting competing magnetic orders.
• The t-t' Hubbard model provides insights into the delicate balance between magnetic and superconducting phases in cuprate materials.