Abstract
The single-particle spectral properties of the two-dimensional t-J model in the parameter regime relevant to cuprate high-temperature superconductors are investigated using cluster perturbation theory. Various anomalous features observed in cuprate high-temperature superconductors are collectively explained in terms of the dominant modes near the Mott transition in this model. Although the behavior of the dominant modes in the low-energy regime is similar to that in the two-dimensional Hubbard model, significant differences appear near the Mott transition for the high-energy electron removal excitations which can be considered to primarily originate from holon modes in one dimension. The overall spectral features are confirmed to remain almost unchanged as the cluster size is increased from 4x4 to 6x6 sites by using a combined method of the non-abelian dynamical density-matrix renormalization group method and cluster perturbation theory.
Highlights
Cuprate high-temperature superconductors, which are obtained by doping Mott insulators containing CuO2 planes [1], exhibit various features that appear anomalous from conventional viewpoints [2,3,4,5,6,7,8,9,10,11,12,13]
In contrast with conventional exact diagonalization studies, where the spectral weights were calculated only at available k and δ points depending on the cluster size and boundary conditions, the spectral-weight distributions for continuous k and ω near the Mott transition with small intervals of δ were calculated using cluster perturbation theory (CPT), and how the peaks of the spectral weights form dominant modes and how the modes transform to those of the Mott insulator as δ gradually decreases were clarified in the 2D t-J model
Through comparisons of the (4 × 4)-site CPT results with the (6 × 6)-site CPT results obtained by combining the non-Abelian dynamical density-matrix renormalization group (DDMRG) method, the cluster-size effects were confirmed to be small enough to allow discussion on the overall spectral features
Summary
Cuprate high-temperature (high-Tc) superconductors, which are obtained by doping Mott insulators containing CuO2 planes [1], exhibit various features that appear anomalous from conventional viewpoints [2,3,4,5,6,7,8,9,10,11,12,13]. Its properties and their relationship to the anomalous features are not well understood, primarily because of difficulties in dealing with the no-double-occupancy constraint. This model can be derived effectively from the 2D Hubbard model in the large-repulsion limit [19], it is not clear how similar the two models’ properties are in the parameter regime relevant to high-Tc cuprates. Various anomalous features observed in high-Tc cuprates are collectively explained in the 2D t-J model, which is an effective model of the CuO2 plane and has no double occupancy.
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