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arXiv 1605.08652cond-mat.str-el
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多轨道系统中Mott跃迁的性质

On the nature of the Mott transition in multiorbital systems

Jorge I. Facio, V. Vildosola, D. J. García, Pablo S. Cornaglia

摘要:

利用动力学平均场论(DMFT)分析了多轨道系统中Mott金属-绝缘体跃迁的性质。利用连续时间量子蒙特卡罗(CTQMC)和旋转不变从玻色子(RISB)平均场近似求解辅助多轨道量子杂质问题。我们集中我们的分析Kanamori哈密顿量,并发现有两个显着不同的制度所确定的最低能量激发的原子哈密顿量的性质。在$T\to0$的RISB结果表明了以下关于零温度下跃迁顺序的经验法则:如果原子哈密顿量的最低激发是电荷激发,则预期二级跃迁,而如果最低激发与原子基态在相同的电荷扇区中,则跃迁倾向于一级。在有限的温度下的过渡是一阶和它的强度,如测量的准粒子重量在过渡的跳跃,是更强的参数制度,其中RISB方法预测在零温度下的一阶过渡。有趣的是,这些结果似乎适用于各种各样的模型和参数制度。

英文摘要:

We analyze the nature of Mott metal-insulator transition in multiorbital systems using dynamical mean-field theory (DMFT). The auxiliary multiorbital quantum impurity problem is solved using continuous time quantum Monte Carlo (CTQMC) and the rotationally invariant slave-boson (RISB) mean field approximation. We focus our analysis on the Kanamori Hamiltonian and find that there are two markedly different regimes determined by the nature of the lowest energy excitations of the atomic Hamiltonian. The RISB results at $T\to0$ suggest the following rule of thumb for the order of the transition at zero temperature: a second order transition is to be expected if the lowest lying excitations of the atomic Hamiltonian are charge excitations, while the transition tends to be first order if the lowest lying excitations are in the same charge sector as the atomic ground state. At finite temperatures the transition is first order and its strength, as measured e.g. by the jump in the quasiparticle weight at the transition, is stronger in the parameter regime where the RISB method predicts a first order transition at zero temperature. Interestingly, these results seem to apply to a wide variety of models and parameter regimes.

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