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Direct observation of incommensurate magnetism in Hubbard chains

机译:直接观察哈伯德链中不相称的磁性

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摘要

The interplay between magnetism and doping is at the origin of exotic strongly correlated electronic phases and can lead to novel forms of magnetic ordering. One example is the emergence of incommensurate spin-density waves, which have wavevectors that do not belong to the reciprocal lattice. In one dimension this effect is a hallmark of Luttinger liquid theory, which also describes the low-energy physics of the Hubbard model(1). Here we use a quantum simulator that uses ultracold fermions in an optical lattice(2-8) to directly observe such incommensurate spin correlations in doped and spin-imbalanced Hubbard chains using fully spin- and density-resolved quantum gas microscopy. Doping is found to induce a linear change in the spin-density wavevector, in excellent agreement with predictions from Luttinger theory. For non-zero polarization we observe a reduction in the wavevector with magnetization, as expected from the antiferromagnetic Heisenberg model in a magnetic field. We trace the microscopic-scale origin of these incommensurate correlations to holes, doublons (double occupancies) and excess spins, which act as delocalized domain walls for the antiferromagnetic order. In addition, by inducing interchain coupling we observe fundamentally different spin correlations around doublons and suppression of incommensurate magnetism at finite (low) temperature in the two-dimensional regime(9). Our results demonstrate how access to the full counting statistics of all local degrees of freedom can be used to study fundamental phenomena in strongly correlated many-body physics.
机译:磁性和掺杂之间的相互作用是奇异的,高度相关的电子相的起源,并且可以导致新形式的磁性有序化。一个例子是自旋密度波的出现,它们的波矢不属于倒易晶格。在一个维度上,这种效应是Luttinger液体理论的标志,该理论还描述了Hubbard模型的低能物理学(1)。在这里,我们使用量子模拟器,在光学晶格中使用超冷费米子(2-8),使用完全自旋和密度分辨的量子气体显微镜直接观察掺杂和自旋不平衡的哈伯德链中的这种不相称的自旋相关性。发现掺杂与Luttinger理论的预测非常吻合,引起了自旋密度波矢的线性变化。对于非零极化,我们观察到磁化强度的波矢减小,这是磁场中反铁磁Heisenberg模型所期望的。我们将这些不相称的相关关系的微观尺度起源追溯到孔,双分子(双重占据)和多余的自旋,这些自旋充当反铁磁阶的离域畴壁。此外,通过诱导链间耦合,我们观察到双链体之间存在根本不同的自旋相关性,并在二维状态下在有限(低温)温度下抑制了不相称的磁性(9)。我们的研究结果表明,如何使用所有局部自由度的全计数统计信息来研究高度相关的多体物理学中的基本现象。

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  • 来源
    《Nature》 |2019年第7737期|56-60|共5页
  • 作者单位

    Max Planck Inst Quantum Opt, Garching, Germany;

    Max Planck Inst Quantum Opt, Garching, Germany;

    Max Planck Inst Quantum Opt, Garching, Germany;

    Max Planck Inst Quantum Opt, Garching, Germany;

    Ludwig Maximilians Univ Munchen, Fak Phys, Munich, Germany|Univ Trento, INO CNR BEC Ctr, Povo, Italy|Univ Trento, Dipartimento Fis, Povo, Italy;

    Ludwig Maximilians Univ Munchen, Fak Phys, Munich, Germany;

    Max Planck Inst Quantum Opt, Garching, Germany|Ludwig Maximilians Univ Munchen, Fak Phys, Munich, Germany;

    Ludwig Maximilians Univ Munchen, Fak Phys, Munich, Germany;

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