What question did this study set out to answer?

The study aims to address the contradiction in predicting phase transitions in two-dimensional systems under the Mermin-Wagner theorem.

April 10, 2026SciPost PhysicsOpen Access

Nonpertubative many-body theory for the two-dimensional Hubbard model at low temperature: From weak to strong coupling regimes

View Full Paper

Ask AI

Bookmark

Authors

This theoretical analysis investigates pseudo phase transitions in 2D systems, ensuring compliance with symmetry principles.

The study aims to address the contradiction in predicting phase transitions in two-dimensional systems under the Mermin-Wagner theorem.
Developed a symmetrization scheme to preserve the Mermin-Wagner theorem.
Applied the scheme to compute the one-body Green’s function and spin-spin correlation function for the 2D Hubbard model.
Compared results with Determinant Quantum Monte Carlo to validate findings.
Achieved good agreement between the computed and DQMC results for the spin-spin correlation functions.
Demonstrated satisfaction of fluctuation-dissipation relation and Ward-Takahashi identities.
Presented a conjecture using the -sum rule to validate many-body methods.

Xiao et al. (2026) studied this question.

View Full Paper

Ask AI

Bookmark