Applications of Many-Body Theory

将对电子多体理论、复杂性和无序系统中的一些问题进行研究。要研究的课题包括：高温超导体和相关问题，如一维和二维的Hubbard模型；无序的电子和磁性系统，包括淬灭随机系统中费米液体行为的击穿；复杂物理和早期演化问题。通常采用的电子多体理论已经受到了诸如高温超导体等现象的挑战，在这些现象中，通常的微扰技术已经被发现是缺乏的。在这些材料中，磁性、无序、超导和金属-绝缘体转变之间的复杂相互作用导致了对新范式的需要。这里提出的研究将解决电子在这些非常常见的系统中的基本牙齿行为。此外，还将致力于自旋玻璃模型在生物前进化中的应用。

Research will be undertaken on a number of problems in electronic many-body theory, complexity and disordered systems. Topic to be studied include: high temperature superconductors and related problems such as the Hubbard model in one and two dimensions; disordered electronic and magnetic systems including breakdown of Fermi liquid behavior in quenched random systems; physics of complexity and problems of early evolution. %%% Electronic many-body theory as usually practiced has been challenged by phenomena such as high temperature superconductors in which usual /perturbative techniques haved been found lacking. The complex interactions in these materials between magnetism, disorder, superconductivity and metal-insulator transitions have led to the need for new paradigms. The research proposed here will address the fundamdental behavior of electrons in these highly usual systems. Addition work will be devoted to the application of spin glass models to pre-biotic evolution.