论文标题
相互作用谐振水平模型的局部密度在零温度下
Local density of states of the interacting resonant level model at zero temperature
论文作者
论文摘要
我们介绍了零温度下相互作用共振水平模型的杂质局部密度的结果。我们专注于低能特性，主要使用数值重量级化组技术。随着相互作用的增加，我们发现零能量处的共振峰消失，而有限能量的两个新峰出现。这是在没有任何领域打破共振的情况下。我们进一步表明，光谱函数的高度与宽度的缩放不相同，实际上定义了第二个不同的指数。我们通过分析强耦合计算以及分析图的重态化群体计算来备份结果，这相当令人惊讶地使第二个指数完全获得了，即使对于强相互作用也是如此。
We present results of the impurity local density of states of the interacting resonant level model at zero temperature. We concentrate on low-energy properties and predominantly use the numerical renormalisation group technique. As interaction is increased, we find that the resonance peak at zero energy disappears, while two new peaks at finite energy emerge. This is in the absence of any field breaking the resonance. We further show that the height of the spectral function does not scale in the same way as the width, and in fact defines a second distinct exponent. We back up our results with analytic strong-coupling calculations as well as an analytic diagrammatic renormalisation group calculation that rather surprisingly gets the second exponent exactly, even for strong interactions.
