Phase diagram of the t-U- V 1 - V 2 model at quarter filling
Phase diagram of the t-U- V 1 - V 2 model at quarter filling
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DOI：
10.1103/physrevb.72.033101
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发表时间：
2004-11
影响因子：
3.7
通讯作者：
S. Ejima;F. Gebhard;S. Nishimoto;Y. Ohta
中科院分区：
文献类型：
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作者：
S. Ejima;F. Gebhard;S. Nishimoto;Y. Ohta
我们研究了最近邻${V}_{1}$和次最近邻${V}_{2}$之间存在库仑相互作用的四分之一填充的一维Hubbard模型的基态性质。利用密度矩阵重正化群和精确对角化方法，我们在${V}_{1}\TEXT{\ensureath{-}}{V}_{2}$平面上得到了三个不同的相：$2{k}{\mathm{F}}$-和$4{k}{\mathm{F}}$-电荷密度波(CDW)和一个宽广的金属相。假设金属是Tomonaga-Luttinger液体(TLL)，我们计算TLL参数${K}_{\ensureath{\Rho}}$。当${V}_{1}$和${V}_{2}$受挫，且在金属相和两个CDW相之间的边界处，${K}_{\ensureath{\rho}}=0.25$时，它最大。
We examine the ground-state properties of the one-dimensional Hubbard model at quarter filling with Coulomb interactions between nearest-neighbors ${V}_{1}$ and next-nearest neighbors ${V}_{2}$. Using the density-matrix renormalization group and exact diagonalization methods, we obtain for $U=10t$ three different phases in the ${V}_{1}\text{\ensuremath{-}}{V}_{2}$ plane: $2{k}_{\mathrm{F}}$- and $4{k}_{\mathrm{F}}$-charge-density-wave (CDW) and a broad metallic phase in between. Assuming that the metal is a Tomonaga-Luttinger liquid (TLL), we calculate the TLL parameter ${K}_{\ensuremath{\rho}}$. It is largest when ${V}_{1}$ and ${V}_{2}$ are frustrated, and ${K}_{\ensuremath{\rho}}=0.25$ at the boundaries between the metallic phase and each of the two CDW phases.