On the N-exciton normalization factor

被引:39
作者
Combescot, M
Leyronas, X
Tanguy, C
机构
[1] Univ Denis Diderot, GPS, F-75251 Paris 05, France
[2] Univ Paris 06, CNRS, F-75251 Paris, France
[3] Ecole Normale Super, CNRS, Lab Phys Stat, F-75231 Paris 05, France
[4] Ecole Polytech, ENSTA, CNRS, Lab Opt Appl, F-91761 Palaiseau, France
关键词
PACS. 71.35.Lk Collective effects (Bose effects, phase space filling, and excitonic phase transitions);
D O I
10.1140/epjb/e2003-00003-1
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The N-ground-state-exciton normalization factor, namely [v\B-o(N) B(o)dagger(N)\v] = N! F-N, with B(o)dagger the exact ground state exciton creation operator, differs from N! because the cxcitons are not perfect bosons. The quantity F-N turns out to be crucial for problems dealing with interacting excitons. Indeed, the excitons feel each other not only through the Coulomb interaction but also through Pauli exclusion between their components. A quite novel purely Pauli contribution exists in their many-body effects, which relies directly on F-N. Following procedures used in the commutation technique we recently introduced to treat interacting close-to-bosons. and in the BCS theory of superconductivity, we rederive important relations verified by the F-N's. We also give new explicit expressions of F-N valid for eta = Na-x(3)/V small but N-2 a(x)(3)/V large, as F-N does not read in terms of eta but Neta, the exciton number N being possibly huge in macroscopic samples. Due to this superextensivity, F-N does not appear alone in physical quantities, but through ratios like FN+p/F-N. We end this work by giving the eta expansion of these ratios, useful for all purely Pauli many-body effects.
引用
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页码:17 / 24
页数:8
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