Incipient order in the t-J model at high temperatures

Area of Science:

• Condensed Matter Physics
• Quantum Many-Body Systems
• Theoretical Physics

Background:

• The t-J-V model is a theoretical framework used to study strongly correlated electron systems.
• Understanding the behavior of these models at high temperatures is crucial for identifying potential exotic phases of matter.

Purpose of the Study:

• To investigate the high-temperature behavior of susceptibilities in the t-J-V model.
• To determine the likelihood of high-temperature superconductivity within the t-J model.
• To explore tendencies towards other ordered states like nematic and d-density wave orders.

Main Methods:

• Utilizing the high-temperature series expansion (HTSE) method.
• Analyzing all relevant diagrams up to ten edges for reliable results.
• Examining the t-J-V model across different parameter regimes (tJ).

Main Results:

• Reliable results were obtained down to temperatures of order J, potentially J/2.
• In the unphysical regime (t
• For t>J, superconducting susceptibilities were small and decreased with temperature, indicating the t-J model does not support high-temperature superconductivity.
• Modest evidence suggests a tendency towards nematic and d-density wave orders.

Conclusions:

• The t-J model, a key component of the t-J-V model, does not appear to support high-temperature superconductivity.
• The findings suggest that other ordered states, such as nematic and d-density wave orders, might be favored in this model.
• Further research may be needed to fully elucidate the complex phase diagram of the t-J-V model.