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arXiv 1607.02485cond-mat.str-el
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LaAlO $_3$ / SrTiO $_3$界面Lifshitz转变附近的反常输运

Anomalous transport near the Lifshitz transition at the LaAlO$_3$/SrTiO$_3$ interface

S. Nandy, N. Mohanta, S. Acharya, A. Taraphder

摘要:

在带绝缘体{L}a{A} 1 {O} $_3$和{S}r{T}i{O} $_3$之间的(001)界面处的二维电子液体由于界面掺杂有载流子而经历Lifshitz转变。在临界载流子密度,两个新的轨道填充在费米能级,伴随着费米表面拓扑结构的变化。使用动力学平均场论,制定一个现实的三轨道模型内,我们研究的Lifshitz过渡和本地电子相关的输运性质的影响。我们看看在热导率,光学电导率,塞贝克系数和角度分辨的光电子能谱,并发现,在临界密度,热导率和直流电导率急剧上升到较高的值,而塞贝克系数显示出一个尖点。轨道间电子-电子相互作用将$Γ$点附近的光谱权重向较低能量转移,从而降低临界密度。当外加磁场存在时,交换分裂使临界密度进一步降低。超过一个足够大的领域,多个尖点出现在塞贝克系数揭示多个Lifshitz过渡。

英文摘要:

The two-dimensional electron liquid, at the (001) interface between band insulators {L}a{A}l{O}$_3$ and {S}r{T}i{O}$_3$, undergoes Lifshitz transition as the interface is doped with carriers. At a critical carrier density, two new orbitals populate at the Fermi level, with a concomitant change in the Fermi surface topology. Using dynamical mean-field theory, formulated within a realistic three-orbital model, we study the influence of the Lifshitz transition and local electron correlations on the transport properties. We look at the thermal conductivity, optical conductivity, Seebeck coefficient and angle resolved photoemission spectra and find that at a critical density, both the thermal and dc conductivities rise sharply to higher values while the Seebeck coefficient shows a cusp. The inter-orbital electron-electron interaction transfers spectral weight near the $Γ$ point towards lower energy, thereby reducing the critical density. In the presence of external magnetic field, the critical density further reduces due to exchange splitting. Beyond a sufficiently large field, multiple cusps appear in the Seebeck coefficient revealing multiple Lifshitz transitions.

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