Na_(0.5)CoO_2、Rb_(0.5)CoO_2和K_(0.5)CoO_2的三角晶格离子哈伯德模型:平均场从属玻色子理论
Ionic Hubbard model on a triangular lattice for Na_0.5CoO_2, Rb_0.5CoO_2 and K_0.5CoO_2: Mean-field slave boson theory
摘要:
利用Barnes-Coleman从玻色子,介绍了三角晶格上离子哈伯德模型的强关联平均场论。我们研究了该理论在四分之三填充时的顺磁相,其中它是Na_0.5CoO_2,Rb_0.5CoO_2和K_0.5CoO_2的模型。这个理论有两个费米子准粒子带:其中一个是充满或几乎充满的,因此弱相关;另一个是半充满或几乎半充满的,因此强相关。进一步的结果强烈地依赖于跳跃积分t的符号。光带始终在t>0时填充,但仅在t> 0时填充。|Delta/t|>=1.5,其中Delta是两个子晶格的位置能量的差。金属-电荷转移绝缘体转变发生在|Delta/t| t>0时=5.0,|Delta/t| =8.0(t<0)。在电荷转移绝缘体中,发生完全的电荷交换:一个子晶格被填充,另一个子晶格被半填充。我们比较我们的结果与精确的对角化计算和实验Na_(0.5)CoO_2,讨论我们的结果的相关性Rb_(0.5)CoO_2和K_(0.5)CoO_2。特别是,我们提出了一个解决方案,似乎矛盾的实验结果Na_0.5CoO_2。许多实验表明,有一个电荷间隙,但量子振荡观察表明存在准粒子态在任意低的激发能。我们认为,重带是gapped,而轻带,其中包含小于1载流子每100个单元电池,保持ungapped。
英文摘要:
We introduce a strongly correlated mean-field theory of the ionic Hubbard model on the triangular lattice with alternating stripes of site energy using Barnes-Coleman slave bosons. We study the paramagnetic phases of this theory at three quarters filling, where it is a model of Na_0.5CoO_2, Rb_0.5CoO_2, and K_0.5CoO_2. This theory has two bands of fermionic quasi-particles: one of which is filled or nearly filled and hence weakly correlated; the other is half-filled or nearly half-filled and hence strongly correlated. Further results depend strongly on the sign of the hopping integral, t. The light band is always filled for t>0, but only becomes filled for |Delta/t|>=1.5 for t<0, where Delta is the difference in the site energies of the two sublattices. A metal--charge transfer insulator transition occurs at |Delta/t|=5.0 for t>0 and |Delta/t|=8.0 for t<0. In the charge transfer insulator complete charge disproportionation occurs: one sublattice is filled and the other in half filled. We compare our results with exact diagonalisation calculations and experiments on Na_0.5CoO_2, and discuss the relevance of our results to Rb_0.5CoO_2 and K_0.5CoO_2. In particular we propose a resolution of seemingly contradictory experimental results on Na_0.5CoO_2. Many experiments suggest that there is a charge gap, yet quantum oscillations are observed suggesting the existence of quasiparticle states at arbitrarily low excitation energies. We argue that the heavy band is gapped while the light band, which contains less than 1 charge carrier per 100 unit cells, remains ungapped.
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