论文标题

在Wannier-Hubbard链中的铁磁性和Doublon定位

Ferromagnetism and doublon localization in a Wannier-Hubbard chain

论文作者

Milner, Samuel, Weinberg, Phillip, Feiguin, Adrian

论文摘要

我们得出了一个“ Wannier-Hubbard”模型,该模型由通过局部库仑相互作用相互作用的一系列重叠原子轨道组成。随之而来的汉密尔顿(Hamiltonian)转变为正交的威尼斯基础集合,展示了远距离跳跃和相互作用,并具有相关的跳跃和铁磁直接交换等新术语。我们使用密度矩阵重新归一化组(DMRG)方法在半填充时在数值上研究模型的一维版本,并将富相图推出了相互作用$ u $的函数,并与金属和铁磁性相位的重叠$ s $,并由超级磁性区域隔离。我们的结果表明,在压力和标准模型的哈密顿量之外,要了解新的紧急阶段的途径。

We derive a "Wannier-Hubbard" model consisting of an array of overlapping atomic orbitals interacting via a local Coulomb interaction. Transforming to an orthogonal Wannier basis set, the resulting Hamiltonian displays long range hopping and interactions, with new terms such as correlated hopping and ferromagnetic direct exchange, among others. We numerically study the one-dimensional version of the model at half-filling using the density matrix renormalization group (DMRG) method, unveiling a rich phase diagram as a function of the interaction $U$ and the overlap $s$ with metallic, and ferromagnetic phases, separated by a ferrimagnetic region. Our results indicate a path toward understanding new emergent phases under pressure and beyond standard model Hamiltonians.

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