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arXiv 1801.02583cond-mat.str-el
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立方晶格上$t_{2g}$轨道系统中Nagaoka型铁磁态的稳定性

Stability of the Nagaoka-type Ferromagnetic State in a $t_{2g}$ Orbital System on a Cubic Lattice

Eric Bobrow, Yi Li

摘要:

我们推广了三维$t_{2g}$ -轨道系统中Nagaoka型巡游铁磁态的精确结果,使之考虑到多个空穴。该系统是一个简单的立方晶格,每个位置拥有$d_{xy}$,$d_{yz}$,和$d_{xz}$轨道,这允许在每个轨道平面内的二维跳跃。在$U\to \infty$的强耦合极限下,证明了当轨道层空穴数比$L^{\frac{1}{2}}$慢时,轨道广义Nagaoka铁磁态在热力学极限下与基态简并.这一结果适用于铁磁Hund耦合$J>0$和轨道间排斥$V\ge 0$的任意值。研究了有限电子密度下Nagaoka型态相对于单个自旋翻转的稳定性。这些结果对研究$t_{2g}$ -轨道材料巡游铁磁性的机制提供了有益的指导。

英文摘要:

We generalize the previous exact results of the Nagaoka-type itinerant ferromagnetic states in a three dimensional $t_{2g}$-orbital system to allow for multiple holes. The system is a simple cubic lattice with each site possessing $d_{xy}$, $d_{yz}$, and $d_{xz}$ orbitals, which allow two-dimensional hopping within each orbital plane. In the strong coupling limit of $U\to \infty$, the orbital-generalized Nagaoka ferromagnetic states are proved degenerate with the ground state in the thermodynamic limit when the hole number per orbital layer scales slower than $L^{\frac{1}{2}}$. This result is valid for arbitrary values of the ferromagnetic Hund's coupling $J>0$ and inter-orbital repulsion $V\ge 0$. The stability of the Nagaoka-type state at finite electron densities with respect to a single spin-flip is investigated. These results provide helpful guidance for studying the mechanism of itinerant ferromagnetism for the $t_{2g}$-orbital materials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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