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

Changkai Zhang1, Jheng-Wei Li2, Dimitra Nikolaidou1

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Summary
This summary is machine-generated.

Investigating the two-dimensional Hubbard model reveals that magnetic orders compete with superconductivity in cuprate materials. Enhancing magnetic frustration and doping stabilizes superconductivity by weakening competing magnetic orders.

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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.