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Mobility edge of two interacting particles in three-dimensional random potentials

机译:三维随机电位的两个相互作用粒子的移动边缘

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摘要

We investigate Anderson transitions for a system of two particles moving in a three-dimensional disordered lattice and subject to on-site (Hubbard) interactions of strength U. The two-body problem is exactly mapped into an effective single-particle equation for the center-of-mass motion, whose localization properties are studied numerically. We show that, for zero total energy of the pair, the transition occurs in a regime where all single-particle states are localized. In particular, the critical disorder strength exhibits a nonmonotonic behavior as a function of vertical bar U vertical bar, increasing sharply for weak interactions and converging to a finite value in the strong-coupling limit. Within our numerical accuracy, short-range interactions do not affect the universality class of the transition.
机译:我们调查Anderson过渡的两个颗粒的系统在三维无序晶格中移动,受到强度U的现场(Hubbard)相互作用。两个体问题完全映射到中心的有效单粒子方程-OF-质量运动,其定位特性在数值上进行了数量。我们表明,对于该对的零总能量,转换发生在所有单粒子状态的状态下。特别地,临界紊乱强度表现出非单调的行为作为垂直条U垂直条的函数,弱相互作用急剧增加,并在强耦合极限中会聚到有限值。在我们的数值准确性中,短程交互不会影响过渡的普遍性类。

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  • 来源
    《Physical review》 |2019年第22期|224209.1-224209.5|共5页
  • 作者

    Stellin Filippo; Orso Giuliano;

  • 作者单位

    Univ Paris CNRS Lab Mat & Phenomenes Quant F-75013 Paris France;

    Univ Paris CNRS Lab Mat & Phenomenes Quant F-75013 Paris France;

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  • 正文语种 eng
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