Theoretical Studies of Quantum Systems with Strong Interactions

该补助金由材料研究和数学科学部门共同支持。 该研究将侧重于强相互作用驱动的电子系统中的干扰效应，并扩展到非线性物理。 特别是，在量子物理中要解决的问题包括p-和d-波手性超导体中的干涉效应;有机准一维导体中的磁输运和量子霍尔效应;量子霍尔制度中的Aharanov-Bohm效应。 在非线性物理学领域，要解决的问题包括移动前沿和扩散驱动聚集的奇异性;非线性动力学的可积方面;随机矩阵在分析问题中的应用。该补助金由材料研究和数学科学部门共同支持。 该研究将侧重于强相互作用驱动的电子系统中的干扰效应，并扩展到非线性物理。

This grant is supported jointly by the Divisions of Materials Research and Mathematical Sciences. The research will focus on interference effects in electronic systems driven by strong interactions and extends to nonlinear physics. In particular, problems to be addressed in quantum physics include interference effects in p- and d-wave chiral superconductors; magnetotransport and quantum Hall effect in organic quasi-one-dimensional conductors; and Aharanov-Bohm effect in the quantum Hall regime. In the area of nonlinear physics, problems to be addressed include singularities in moving fronts and diffusion driven aggregations; integrable aspects of nonlinear dynamics; application of random matrices in problems of analysis. This grant is supported jointly by the Divisions of Materials Research and Mathematical Sciences. The research will focus on interference effects in electronic systems driven by strong interactions and extends to nonlinear physics.