外磁场中哈伯德模型的Ginzburg-Landau近似
Ginzburg-Landau approximation for the Hubbard model in the external magnetic field
摘要：
研究了外加磁场下的哈伯德模型。在描述自旋相反的电子的序参量的Ginzburg-Landau理论框架内进行唯象分析。研究是在金属态下的近半满的下哈伯德带。最后的方程是类似于相反自旋的泡利方程，并且由于具有相反自旋的电子之间的相互作用而成为非线性方程。在一些最有趣的情况下，方程可以解析地求解空间均匀分布。特别地，分析了半满Hubbard子带的金属-绝缘体转变问题。在顺磁自旋效应下，找到了从金属态到绝缘体态转变的临界磁场。
英文摘要：
The Hubbard model is studied in the external magnetic field. The analysis is carried out phenomenologically within the framework of the Ginzburg-Landau theory with the order parameter describing the opposite spin electrons. The study is performed for the nearly half-filled lower Hubbard band in the metallic state. The final equations are the Pauli-like ones for the opposite spins and nonlinear as a result of interaction between electrons with the opposite spins. The equations can analytically be solved for the spatially homogeneous distributions in a number of most interesting cases. In particular, the problem on the metal-insulator transition is analyzed for the nearly half-filled Hubbard sub-bands. The critical magnetic field at which the transition from the metallic state to the insulator one takes place is found under the paramagnetic spin effect.
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