论文标题

一单粒子和相关障碍潜力的问题

One- and Two-Particle Problem with Correlated Disorder Potential

论文作者

Liu, Guangcun

论文摘要

在探索疾病在相互作用系统中的效果方面的最新实验和理论进步的动机,我们研究了两种类型的相关性疾病的影响,准周期性潜力和斑点疾病潜力,对具有垂体化(ED)方法的单粒子和两粒子问题。我们在存在准周期电位的情况下给出了单个粒子的相图,并分析了强相互作用对二维层基态相位图的影响。对于斑点疾病的潜在病例,我们既检查相关长度和无序强度对单个颗粒基态能量的影响,又研究两粒子结合能。还要计算和讨论斑点障碍潜力下不同相互作用强度的运输特性。

Motivated by the recent experimental and theoretical progresses in the exploration of the effect of disorder in interacting system, we examine the effect of two types of correlated disorder, the quasi-periodic potential and speckle disorder potential, on one- and two-particle problem with exact diagonalization (ED) method. We give the phase diagram for single particle in the presence of quasi-periodic potential and also analyse the effect of strong interaction on the phase diagram for ground state in two dimensions. For the speckle disorder potential case, we examine both the effect of correlation length and disorder strength on single particle ground state energy and two-particle binding energy. The transport property for different interaction strength under speckle disorder potential is also calculated and discussed at last.

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