Localization and IDS Regularity in the Disordered Hubbard Model within Hartree–Fock Theory
Localization and IDS Regularity in the Disordered Hubbard Model within Hartree–Fock Theory
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DOI：
10.1007/s00220-020-03933-8
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发表时间：
2019-06
影响因子：
2.4
通讯作者：
Rodrigo Matos;J. Schenker
中科院分区：
文献类型：
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作者：
Rodrigo Matos;J. Schenker
利用分数矩方法表明，在无序哈伯德哈密顿量的har特里-福克近似内，正温度下的弱相互作用费米子表现出局域化，适当地定义为本征函数相关器的指数衰减。我们的结果在大无序状态下的任何维度和一维情况下的任何无序状态下都成立。由于我们的方法，我们能够显示Hölder态的积分密度在能量、无序和相互作用方面的连续性。
Using the fractional moment method it is shown that, within the Hartree–Fock approximation for the disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential decay of eigenfunction correlators. Our result holds in any dimension in the regime of large disorder and at any disorder in the one dimensional case. As a consequence of our methods, we are able to show Hölder continuity of the integrated density of states with respect to energy, disorder and interaction.