Isosbestic points in the spectral function of correlated electrons

被引:25
作者
Eckstein, Martin [1 ]
Kollar, Marcus [1 ]
Vollhardt, Dieter [1 ]
机构
[1] Univ Augsburg, Ctr Elect Correlat & Magnetism, Inst Phys, D-86135 Augsburg, Germany
关键词
D O I
10.1007/s10909-007-9311-3
中图分类号
O59 [应用物理学];
学科分类号
摘要
We investigate the properties of the spectral function A(omega,U) of correlated electrons within the Hubbard model and dynamical mean-field theory. Curves of A(omega,U) versus omega for different values of the interaction U are found to intersect near the band-edges of the non-interacting system. For a wide range of U the crossing points are located within a sharply confined region. The precise location of these "isosbestic points" depends on details of the non-interacting band structure. Isosbestic points of dynamic quantities therefore provide valuable insights into microscopic energy scales of correlated systems.
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页码:279 / 293
页数:15
相关论文
共 34 条
[1]  
Blumer N., 2002, Ph.D. thesis
[2]  
BLUMER N, 2003, THESIS AACHEN
[3]   PRESSURE-DEPENDENCE OF THE LOW-TEMPERATURE SPECIFIC-HEAT OF THE HEAVY-FERMION COMPOUND CEAL3 [J].
BRODALE, GE ;
FISHER, RA ;
PHILLIPS, NE ;
FLOUQUET, J .
PHYSICAL REVIEW LETTERS, 1986, 56 (04) :390-393
[4]   Numerical renormalization group calculations for the self-energy of the impurity Anderson model [J].
Bulla, R ;
Hewson, AC ;
Pruschke, T .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (37) :8365-8380
[5]   Finite-temperature numerical renormalization group study of the Mott transition [J].
Bulla, R ;
Costi, TA ;
Vollhardt, D .
PHYSICAL REVIEW B, 2001, 64 (04)
[6]   Nearly universal crossing point of the specific heat curves of Hubbard models [J].
Chandra, N ;
Kollar, M ;
Vollhardt, D .
PHYSICAL REVIEW B, 1999, 59 (16) :10541-10549
[7]   ISOSBESTIC POINTS [J].
COHEN, MD ;
FISCHER, E .
JOURNAL OF THE CHEMICAL SOCIETY, 1962, (AUG) :3044-&
[8]   Specific heat of the two-dimensional Hubbard model (vol 55, pg 12918, 1997) [J].
Duffy, D ;
Moreo, A .
PHYSICAL REVIEW B, 1997, 56 (11) :7022-7022
[9]   Nonresonant inelastic light scattering in the Hubbard model [J].
Freericks, JK ;
Devereaux, TP ;
Bulla, R ;
Pruschke, T .
PHYSICAL REVIEW B, 2003, 67 (15)
[10]   Exact dynamical mean-field theory of the Falicov-Kimball model [J].
Freericks, JK ;
Zlatic, V .
REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1333-1382