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对哈伯德模型的全同粒子弦进行成像。

Imaging the Holon string of the Hubbard model.

作者信息

Ho Tin-Lun

机构信息

Department of Physics, The Ohio State University, Columbus, OH 43210

出版信息

Proc Natl Acad Sci U S A. 2020 Oct 20;117(42):26141-26144. doi: 10.1073/pnas.2004268117. Epub 2020 Oct 5.

Abstract

It has been a long-sought goal of quantum simulation to find answers to outstanding questions in condensed-matter physics. A famous example is finding the ground state and the excitations of the two-dimensional (2D) Hubbard model with strong repulsion below half-filling. This system is a doped antiferromagnet and is of great interest because of its possible relation to high-[Formula: see text] superconductors. Theoretically, the fermion excitations of this model are believed to split up into holons and spinons, and a moving holon is believed to leave behind it a string of "wrong" spins that mismatch with the antiferromagnetic background. Here, we show that the properties of the ground-state wavefunction and the holon excitation of the 2D Hubbard model can be revealed in unprecedented detail by using the imaging and the interference technique in atomic physics. They allow one to reveal the Marshall sign of the doped antiferromagnet. The region of wrong Marshall sign indicates the location of the holon string.

摘要

寻找凝聚态物理中悬而未决问题的答案一直是量子模拟长期以来追求的目标。一个著名的例子是找到具有强排斥力且低于半填充的二维(2D)哈伯德模型的基态和激发态。这个系统是一种掺杂反铁磁体,因其与高温超导可能存在的关系而备受关注。从理论上讲,该模型的费米子激发被认为会分裂成空穴子和自旋子,并且一个移动的空穴子被认为会在其身后留下一串与反铁磁背景不匹配的“错误”自旋。在这里,我们表明,通过使用原子物理中的成像和干涉技术,可以以前所未有的细节揭示二维哈伯德模型基态波函数和空穴子激发的性质。它们能够揭示掺杂反铁磁体的马歇尔符号。错误马歇尔符号的区域表明了空穴子弦的位置。

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本文引用的文献

1
String patterns in the doped Hubbard model.掺杂哈伯德模型中的字符串模式。
Science. 2019 Jul 19;365(6450):251-256. doi: 10.1126/science.aav3587.
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Spin transport in a Mott insulator of ultracold fermions.超冷费米子莫特绝缘体中的自旋输运
Science. 2019 Jan 25;363(6425):383-387. doi: 10.1126/science.aat4387. Epub 2018 Dec 6.
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