Spatial and temporal propagation of Kondo correlations

Spatial and temporal propagation of Kondo correlations
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近藤相关性的空间和时间传播

DOI:
10.1103/physrevb.90.045117
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Frithjof B. Anders
Frithjof B. Anders
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Benedikt Lechtenberg;Frithjof B. Anders

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我们解决了假设最初解耦杂质自旋的情况下空间近藤相关性如何及时建立的基本问题。我们研究了具有反铁磁和铁磁耦合的近藤模型中的时间相关自旋相关函数,其中表示在时间上打开近藤耦合后传导电子的自旋密度。我们提供从时间相关数值重整化群 (TD-NRG) 计算中获得的数据。我们通过平衡相关函数的空间和规则以及解耦费米海的分析上精确已知的自旋相关函数的再现来衡量双能带 NRG 的准确性。我们发现在由主体金属的费米速度定义的光锥之外,近藤相关性显着增强。通过采用精确的近藤耦合二阶扰动方法,我们将这些令人惊讶的相关性与费米海的固有自旋密度纠缠联系起来。热波长提供了有限温度下的截止范围,超过该范围相关性就会被指数抑制。我们提供了频率相关的延迟自旋-自旋敏感性的数据,并使用结果来计算线性响应中弱扰动的实时响应:在空间分辨率内,没有发现光锥之外的响应。
We address the fundamental question how the spatial Kondo correlations are building up in time assuming an initially decoupled impurity spin. We investigate the time-dependent spin-correlation functionin the Kondo model with antiferromagnetic and ferromagnetic couplings, wheredenotes the spin density of the conduction electrons after switching on the Kondo coupling at time. We present data obtained from a time-dependent numerical renormalisation group (TD-NRG) calculation. We gauge the accuracy of our two-band NRG by the spatial sum rules of the equilibrium correlation functions and the reproduction of the analytically exactly known spin-correlation function of the decoupled Fermi sea. We find a remarkable building up of Kondo correlation outside of the light cone defined by the Fermi velocity of the host metal. By employing a perturbative approach exact in second-order of the Kondo coupling, we connect these surprising correlations to the intrinsic spin-density entanglement of the Fermi sea. The thermal wavelength supplies a cutoff scale at finite temperatures beyond which correlations are exponentially suppressed. We present data for the frequency dependent retarded spin-spin susceptibility and use the results to calculate the real-time response of a weak perturbation in linear response: within the spatial resolution no response outside of the light cone is found.
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发表时间: 2013-02
期刊: Physical Review B
影响因子: 3.7
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