SPECTRAL PROPERTIES OF THE HUBBARD BANDS

被引:145
作者
ESKES, H
OLES, AM
MEINDERS, MBJ
STEPHAN, W
机构
[1] JAGIELLONIAN UNIV, INST PHYS, PL-30059 KRAKOW, POLAND
[2] UNIV GRONINGEN, 9747 AG GRONINGEN, NETHERLANDS
[3] UNIV LONDON KINGS COLL, LONDON WC2R 2LS, ENGLAND
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 24期
关键词
D O I
10.1103/PhysRevB.50.17980
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Using strong-coupling perturbation theory for the Hubbard model, explicit expressions are obtained for the integrated weights, energy positions, and widths of the upper and lower Hubbard bands separately, both for the optical and photoemission spectrum. In one dimension all expressions can be explicitly evaluated using the large-U Bethe-ansatz wave function. The k-dependent moments for the one-particle spectrum are compared with the closely related two-pole ansatz. The strong momentum dependence of the spectra demonstrates the importance of the k-dependent correlation functions in the spectral moments, which are often neglected. In order to estimate corrections due to the neglect of higher-order terms (in t/U), all results are compared with numerical-diagonalization data for intermediate-U values. The sum-rule results show a rapid spectral-weight transfer from the high- to the low-energy regime upon doping, similar to what is observed experimentally in one-particle and optical spectra of Cu (high-Tc) and Ni compounds. Such fast weight redistributions as a function of the carrier density are a natural consequence of the strong correlations in these materials. The redistribution of intensity in the optical conductivity is connected with the dilution of the spin system by the added holes. For the one-particle spectrum the decrease of weight in the upper Hubbard band away from half filling can be understood by state counting at U=, and the effect is strongly enhanced for small doping by both the first- and second-order terms in t/U. Altogether, the one-particle and optical spectra show the importance of the three-site hopping term. Therefore the t-J model does not represent well the spectral properties of the Hubbard model at large U. The local spin order is essential and determines both the k dependence of the one-particle spectrum and the intensities in the optical spectrum. © 1994 The American Physical Society.
引用
收藏
页码:17980 / 18002
页数:23
相关论文
共 98 条
[61]   FERROMAGNETISM IN NARROW ENERGY-BANDS [J].
NOLTING, W .
ZEITSCHRIFT FUR PHYSIK, 1973, 265 (02) :173-187
[62]   BAND MAGNETISM IN THE HUBBARD-MODEL [J].
NOLTING, W ;
BORGIEL, W .
PHYSICAL REVIEW B, 1989, 39 (10) :6962-6978
[63]   ACCURACY OF THE SPECTRAL DENSITY APPROACH FOR THE QUASI-PARTICLE EXCITATIONS IN THE S-F MODEL [J].
NOLTING, W ;
OLES, AM .
PHYSICA A, 1987, 143 (1-2) :296-313
[64]   FINITE-TEMPERATURE FERROMAGNETISM OF NICKEL [J].
NOLTING, W ;
BORGIEL, W ;
DOSE, V ;
FAUSTER, T .
PHYSICAL REVIEW B, 1989, 40 (07) :5015-5027
[65]   BETHE-ANSATZ WAVE-FUNCTION, MOMENTUM DISTRIBUTION, AND SPIN CORRELATION IN THE ONE-DIMENSIONAL STRONGLY CORRELATED HUBBARD-MODEL [J].
OGATA, M ;
SHIBA, H .
PHYSICAL REVIEW B, 1990, 41 (04) :2326-2338
[66]   MAGNETIC-FIELD EFFECTS ON THE CORRELATION-FUNCTIONS IN THE ONE-DIMENSIONAL STRONGLY CORRELATED HUBBARD-MODEL [J].
OGATA, M ;
SUGIYAMA, T ;
SHIBA, H .
PHYSICAL REVIEW B, 1991, 43 (10) :8401-8410
[67]   EVOLUTION OF THE IN-GAP STATE IN HIGH-TC CUPRATES [J].
OHTA, Y ;
TSUTSUI, K ;
KOSHIBAE, W ;
SHIMOZATO, T ;
MAEKAWA, S .
PHYSICAL REVIEW B, 1992, 46 (21) :14022-14033
[68]   ONE-HOLE AND 2-HOLE EXCITATION-SPECTRA OF THE HUBBARD-MODEL IN THE NON-HALF-FILLED CASE [J].
OLES, AM ;
TREGLIA, G ;
SPANJAARD, D ;
JULLIEN, R .
PHYSICAL REVIEW B, 1986, 34 (08) :5101-5110
[69]   ONE-HOLE EXCITATION-SPECTRA OF THE ONE-DIMENSIONAL HUBBARD-MODEL [J].
OLES, AM ;
TREGLIA, G ;
SPANJAARD, D ;
JULLIEN, R .
PHYSICAL REVIEW B, 1985, 32 (04) :2167-2177
[70]   SPECTRAL PROPERTIES OF THE ONE-DIMENSIONAL HUBBARD-MODEL [J].
PREUSS, R ;
MURAMATSU, A ;
VONDERLINDEN, W ;
DIETERICH, P ;
ASSAAD, FF ;
HANKE, W .
PHYSICAL REVIEW LETTERS, 1994, 73 (05) :732-735