Excitation Spectra of the Impurity Anderson Model Calculated by the Numerical Renormalization Group Method

Excitation Spectra of the Impurity Anderson Model Calculated by the Numerical Renormalization Group Method
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数值重正化群法计算杂质安德森模型的激发谱

DOI:
10.1143/ptps.108.73
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发表时间:
1992
影响因子:
--
通讯作者:
T. Kasuya
T. Kasuya
中科院分区:
--
文献类型:
--
作者:
O. Sakai;Y. Shimizu;T. Kasuya

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综述了一种基于数值重整化群技术计算杂质安德森模型激发谱的方法。针对1 - 1库仑相互作用的不同强度情况,计算了单粒子和磁激发谱,并将它们与在铀化合物中实验观测到的宽光电子能谱 - 逆光电子能谱进行比较。还详细研究了近藤极限下的激发谱。研究了具有复杂多重态结构的磁性离子(如钐和铥类离子)所产生的近藤效应。计算了双杂质安德森模型的激发谱,并讨论了宇称分裂的作用。在本文中,我们综述了我们近期对杂质安德森模型激发谱的计算。该计算方法是基于数值重整化群(NRG)技术发展而来的,该技术最初是由威尔逊引入来研究近藤问题的热力学性质的。计算有三个目的。第一个目的是在宽能量范围内研究杂质安德森模型的单粒子激发(SPE)谱。我们研究原子 - 电子库仑相互作用在铀化合物宽光电子能谱 - 逆光电子能谱起源中的作用,在这些化合物中,原子相互作用和中心 - 电子杂化预计具有相当的强度。第二个目的是研究近藤问题的动态激发谱。已经发展了几种近似方案来研究该问题的动态性质,但在我们的计算之前,尚未得到极低温度下的精确激发谱。我们仔细计算了在近藤温度$T_K$量级的低能区域内的单粒子激发、磁激发和电荷激发谱。
A method to calculate the excitation spectra of the impurity Anderson model based on the numerical renormalization group technique is reviewed. The single particle and the magnetic excitation spectra are calculated for the cases of various magnitudes of the 1-1 Coulomb interaction to compare them with experimentally observed broad PES-BIS spectra in U-compounds. Excitation spectra in the Kondo limit are also examined in detail. The Kondo effect due to the magnetic ions with complex multiplet structures, such as the Sm- and the Tm·like ions, is studied. The excitation spectra of the two impurity Anderson model are calculated and roles of the parity splitting are discussed. In this paper we review our recent. calculation for the excitation spectra of the impurity Ande:r;son model. The method of calculation is developed based on the numerical renormalization group (NRG) technique which has been originally introduced by Wilson to study the thermodynamic properties of the Kondo problem. 1 >,z> The purposes of the calculation are three folds. The first one is to study the single particle excitation (SPE) spectra of the impurity Anderson model in wide energy range. 3 >' 4 > We study roles of the atomic/-/ Coulomb interaction in the origin of the broad PES-BIS spectra of U-compounds, in which the atomic interactions and the c-/ hybridization are expected to have comparable magnitude. The second one is to study the dynamical excitation spectra of the Kondo problem. Several approximation schemes have been developed to study the dynami­ cal properties of the problem, but exact excitation spectra at very low temperature have not been obtained before our calculation. We calculate the spectra of SPE, magnetic and charge excitations in the low energy region of the order of the Kondo · temperature, TK., carefully. 5 >
DOI: --
发表时间: 2019
期刊:
影响因子: --
作者:
D. Kanai;R. Takayanagi;M. Okawa;Y. Kobayashi;A. Yasui;E. Ikenaga;and T. Saitoh;Shigeo Ohara
通讯作者: Shigeo Ohara