Novel symmetries in condensed matter physics: quantum symmetries of the Hubbard model

Arianna Montorsi, Mario Rasetti

Arianna Montorsi, Mario Rasetti

E. Ahmed, A. S. Hegazi

E. Ahmed, Ahmed Sadek Hegazi

R.S. Markiewicz, Michael T. Vaughn

We discuss some applications of higher symmetry groups to condensed matter systems. We give special attention to the groups SO(n) (n = 4, 5, 6, 8) in the two-dimensional Hubbard model and its generalizations, which model the high T_c cuprate superconductors.

Xue Yang, Jing He, Xing‐Hai Zhang +1 more

The Hubbard model is one of the most important models in condensed matter physics. In this paper, we developed a theory of ferrimagnetism in the Hubbard model on bipartite lattices with spectral symmetry. By taking three models as examples, we studied the ferrimagnetic orders that emerge from three typical fermionic systems--metal, semi-metal and (Chern) insulator. In particular, we found that there may exist various ferrimagnetic orders and explored the universal features.