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BCS-BEC crossover in a (t_(2g))~4 excitonic magnet

机译：BCS-BEC在A（T_（2G））〜4兴奋磁体中的交叉

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摘要

The condensation of spin-orbit-induced excitons in t_(2g)~4 electronic systems is attracting considerable attention. At large Hubbard U, antiferromagnetism was proposed to emerge from the Bose-Einstein Condensation (BEC) of triplons (J_(eff) = 1). Here, we show that even at intermediate U regimes, the spin-orbit exciton condensation is possible leading also to staggered magnetic order. The canonical electron-hole excitations (excitons) transform into local triplon excitations at large U, and this BEC strong coupling regime is smoothly connected to the intermediate U excitonic insulator region. We solved the degenerate three-orbital Hubbard model with spin-orbit coupling (λ) in one dimension using the density matrix renormalization group, while in two dimensions we use the Hartree-Fock approximation (HFA). Employing these techniques, we provide the full λ versus U phase diagrams for both one- and two-dimensional lattices. Our main result is that at intermediate Hubbard U, increasing λ at fixed U the system transitions from an incommensurate spin-density-wave metal to a Bardeen-Cooper-Schrieffer (BCS) excitonic insulator, with coherence length r_(coh) of O(a) and O(10a) in 1d and 2d, respectively, with a being the lattice spacing. Further increasing λ, the system eventually crosses over to the BEC limit (with r_(coh) a).
机译：旋转轨道诱导的激子在T_（2G）〜4电子系统中的缩合吸引了相当大的关注。在大喧哗的u时，提出了反铁磁性从三柱（J_（eff）= 1）的Bose-Einstein凝结（BEC）中出现。在这里，我们表明即使在中间U制度中，也可以使自旋轨道谐波冷凝也可以引进交错磁秩序。规范电子 - 空穴激发（激子）在大U处变成局部三股激发，并且该BEC强耦合状态是平滑地连接到中间U激发器绝缘区域。我们使用密度矩阵重新定位组在一个维度中用自旋轨道耦合（λ）解决了退化的三轨道隆巴德模型，而我们使用Hartree-Fock近似（HFA）。采用这些技术，我们为单一和二维格子提供全λ与U相图。我们的主要结果是，在中间哈巴德U中，在固定的U固定λ时，系统从将旋转密度波金属的系统过渡到Bardeen-Cooper-Schrieffer（BCS）激发器绝缘体，具有o的相干长度R_（COH）（ a）和O（10a）分别在1d和2d中，具有晶格间距。进一步增加λ，系统最终交叉到BEC限制（使用R_（COH） A）。

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  • 来源
    《Physical review》 |2020年第24期|245147.1-245147.9|共9页
  • 作者

    Nitin Kaushal; Rahul Soni; Alberto Nocera; Gonzalo Alvarez; Elbio Dagotto;

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    Department of Physics and Astronomy The University of Tennessee Knoxville Tennessee 37996 USA Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

    Department of Physics and Astronomy The University of Tennessee Knoxville Tennessee 37996 USA Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

    Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute University of British Columbia Vancouver B.C. Canada V6T 1Z1;

    Computational Sciences and Engineering Division and Center for Nanophase Materials Sciences Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

    Department of Physics and Astronomy The University of Tennessee Knoxville Tennessee 37996 USA Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

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