有任意带满的紧束缚哈密顿量的实空间重整化群研究

REAL-SPACE RENORMALIZATION STUDY OF TIGHT-BIN-DING HAMILTONIAN WITH ARBITRARY BAND FILLING

本文运用实空间重整化群方法研究了有任意带满的无自旋的Fermi系统的行为。对于一维,求得了系统的基态能、相关函数和相关的临界分量,并与各向同性的s=1/2的X-Y模型进行了比较。对于D>1维,定性地讨论了系统的相关函数及临界分量。

In this paper, the spinless Fermi systems with arbitrary band filling have been studied by using the real-space renormalization group methods. For one dimensional case, we obtained the ground state energies, the correlation functions and the relative critical exponents of the systems. The results were compared with those of isotropic s = 1/2 X-Y model. We also discussed qualitatively the correlation fuactions and the related critical exponents for the cases of D>1.