关联费米子混合物中的安德森局域化
Anderson localization in a correlated fermionic mixture
摘要：
研究了光晶格中两种不同质量的费米子物质的混合物。重费米子只受热涨落的影响，轻费米子也受量子涨落的影响。我们导出了重原子的类伊辛分布，并利用转移矩阵方法数值研究了轻费米子的局域化性质。在一个二维系统中的局域化长度的单参数标度被发现与从低温离域状态在高温局域化状态的过渡。局部化长度的临界指数是$ν\approx 0.88$。
英文摘要：
A mixture of two fermionic species with different masses is studied in an optical lattice. The heavy fermions are subject only to thermal fluctuations, the light fermions also to quantum fluctuations. We derive the Ising-like distribution for the heavy atoms and study the localization properties of the light fermions numerically by a transfer-matrix method. In a two-dimensional system one-parameter scaling of the localization length is found with a transition from delocalized states at low temperatures to localized states at high temperature. The critical exponent of the localization length is $ν\approx 0.88$.
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