arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.05509cond-mat.str-elcond-mat.quant-gasquant-ph
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反铁磁莫特绝缘体中ARPES谱的部分子理论

Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators

Annabelle Bohrdt, Eugene Demler, Frank Pollmann, Michael Knap, Fabian Grusdt

摘要:

角分辨光电子能谱(ARPES)揭示了关联反铁磁体中可移动杂质的特殊性质。但从理论上描述它们,即使是在简化的玩具模型中,仍然是一个挑战。本文研究了$t-J$模型中单个可动空穴的ARPES谱。最近的进展,在微观描述的移动掺杂剂允许我们使用的自旋和电荷的波动在强耦合的几何去耦,从中我们推测一个一对一的关系的一个掺杂剂的光谱函数和光谱的构成自旋在\emph{undoped}父AFM。我们彻底测试这一假设为一个单一的空穴掺杂到一个二维海森堡原子力显微镜通过比较我们的半分析预测到以前的量子蒙特卡罗结果和我们的大规模时间依赖矩阵乘积态(TD-MPS)的光谱函数计算。我们的结论得到了一个描述自旋-电荷束缚态的微观试探波函数的支持,它捕获了准粒子剩余的动量和$t/J$依赖性。我们的猜想表明,在赝能隙相的铜氧化物的ARPES测量可以直接揭示构成自旋的狄拉克费米子的性质。具体来说,我们证明了我们的审判波函数提供了一个微观的解释与费米弧的形成相关的节点周围的光谱重量突然下降,假设额外的挫折抑制远程AFM订购。我们通过研究从二维到一维的交叉来衡量我们的结果,其中自旋子和characteristic分别被限制和取消限制。

英文摘要:

Angle-resolved photoemission spectroscopy (ARPES) has revealed peculiar properties of mobile dopants in correlated anti-ferromagnets (AFMs). But describing them theoretically, even in simplified toy models, remains a challenge. Here we study ARPES spectra of a single mobile hole in the $t-J$ model. Recent progress in the microscopic description of mobile dopants allows us to use a geometric decoupling of spin and charge fluctuations at strong couplings, from which we conjecture a one-to-one relation of the one-dopant spectral function and the spectrum of a constituting spinon in the \emph{undoped} parent AFM. We thoroughly test this hypothesis for a single hole doped into a 2D Heisenberg AFM by comparing our semi-analytical predictions to previous quantum Monte Carlo results and our large-scale time-dependent matrix product state (td-MPS) calculations of the spectral function. Our conclusion is supported by a microscopic trial wavefuntion describing spinon-chargon bound states, which captures the momentum and $t/J$ dependence of the quasiparticle residue. Our conjecture suggests that ARPES measurements in the pseudogap phase of cuprates can directly reveal the Dirac-fermion nature of the constituting spinons. Specifically, we demonstrate that our trial wavefunction provides a microscopic explanation for the sudden drop of spectral weight around the nodal point associated with the formation of Fermi arcs, assuming that additional frustration suppresses long-range AFM ordering. We benchmark our results by studying the cross-over from two to one dimension, where spinons and chargons are confined and deconfined respectively.

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