Bloch oscillations in the spin-1/2 XXZ chain
Bloch oscillations in the spin-1/2 XXZ chain
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自旋 1/2 XXZ 链中的布洛赫振荡
DOI：
10.1103/physrevb.104.205115
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发表时间：
2021
影响因子：
3.7
通讯作者：
and Haruki Watanabe
中科院分区：
文献类型：
--
作者：
Yankang Liu;Yohei Fuji;and Haruki Watanabe
在理想的周期电位下，由恒定电场引起的电流密度可能会表现出非平凡的振荡，即所谓的布洛赫振荡，其振幅在大系统尺寸限制下保持非零。这种振荡已经在几乎没有相互作用的粒子中得到了很好的研究，并在实验中观察到。在这项工作中，我们重新布洛赫振荡强相互作用系统。通过对自旋XXZ链的分析，我们证明了在铁磁无隙区，各向异性参数的特定值下的电流密度，即使在弱电场极限下，也与无相互作用情况下的电流密度定性地表现相同。当偏离这些值时，在弱电场下的振荡幅度被系统尺寸的一个因子抑制。我们估计所需的电场强度观察到这样的行为使用朗道-齐纳公式。
Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amplitude that remains nonzero in the large system size limit. Such oscillations have been well studied for nearly noninteracting particles and observed in experiments. In this work we revisit Bloch oscillations in strongly interacting systems. By analyzing the spin-XXZ chain, we demonstrate that the current density at special values of the anisotropy parameterin the ferromagnetic gapless regime behaves qualitatively the same as in the noninteracting caseeven in the weak electric field limit. Whendeviates from these values, the amplitude of the oscillation under a weak electric field is suppressed by a factor of the system size. We estimate the strength of the electric field required to observe such a behavior using the Landau-Zener formula.