Solving the dynamical mean-field theory at very low temperatures using the Lanczos exact diagonalization
Solving the dynamical mean-field theory at very low temperatures using the Lanczos exact diagonalization
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DOI：
10.1103/physrevb.76.245116
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发表时间：
2007-12-01
影响因子：
3.7
通讯作者：
Georges, Antoine
中科院分区：
文献类型：
--
作者：
Capone, Massimo;de Medici, Luca;Georges, Antoine
基于 Lanczos 算法从基态属性到激发态的扩展，我们提出了一种有效的方法来求解低温但有限温度下动态平均场理论中涉及的杂质哈密顿量。我们在原型哈伯德模型上测试了该方法，并发现从 T=0 到相对较高的温度直至莫特转变的临界温度范围内都非常准确的结果。该算法大大减少了有限温度计算中涉及的计算量。
We present an efficient method to solve the impurity Hamiltonians involved in dynamical mean-field theory at low but finite temperature based on the extension of the Lanczos algorithm from ground state properties alone to excited states. We test the approach on the prototypical Hubbard model and find extremely accurate results from T=0 up to relatively high temperatures up to the scale of the critical temperature for the Mott transition. The algorithm substantially decreases the computational effort involved in finite temperature calculations.