1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
2Chinese Center of Advanced Science and Technology (World Laboratory),P.O. Box 8730, Beijing 100080
Low-Density Ferromagnetism in the Hubbard Model
AN Jin1;GONG Chang-De2,1
1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
2Chinese Center of Advanced Science and Technology (World Laboratory),P.O. Box 8730, Beijing 100080
Abstract: We study analytically the stability of the saturated ferromagnetic ground state (the Nagaoka state) of the Hubbard model in the low electron density limit with the mean-field approach. We find that the critical Uc is just 4πt, where t is the hopping integral between the nearest neighbours, i.e., when U is larger than 4πt,the paramagnetic state is unstable with respect to the ferromagnetic state, and vice versa.
AN Jin;GONG Chang-De;. Low-Density Ferromagnetism in the Hubbard Model[J]. 中国物理快报, 2001, 18(1): 109-110.
AN Jin, GONG Chang-De,. Low-Density Ferromagnetism in the Hubbard Model. Chin. Phys. Lett., 2001, 18(1): 109-110.