Thermodynamics of the 2D t-J Model

Alain Dasnières de Veigy

Approximate Hamiltonians for the one-dimensional (1D) Calogero and two-dimensional (2D) anyon models in a harmonic well are constructed. These Hamiltonians are exactly diagonalizable, and their spectra interpolate linearly between the Bose statistics and the Fermi statistics. In particular, in 2D, the thermodynamics is similar to that of a system obeying a generalized exclusion principle and may be viewed as a starting approximation for the thermodynamics of anyons.

C. T. Shih, Y. C. Chen, T. K. Lee

Eduardo Ibarra-García-Padilla, Sohail Dasgupta, Haotian Wei +4 more

The authors study thermodynamic properties of the SU($N$) Fermi-Hubbard model in 2D square lattices and discover simple scaling laws of the energy, the number of on-site pairs, and the kinetic energy with respect to $N$ when the temperature is above the superexchange energy. The results establish a limit to the cooling for SU($N$) fermions in 2D, in contrast to the arbitrarily low temperatures that could potentially be achieved in 1D.

A. Moreno, A. Muramatsu, Salvatore R. Manmana

Francesco Paolo Mancini, H. Matsumoto, D. Villani

Takashi Koretsune, Masao Ogata