A theory of double exchange in infinite dimensions

B. M. Letfulov

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A theory of double exchange in infinite dimensions

机译：无限维双重交换的理论

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This paper gives a simplified model of the double exchange which is a kind of indirect exchange interaction between localized magnetic moments. The presented model is solved exactly in the case of infinite - dimensional space. Equations for single-particle Green's function and magnetization of the localized spins subsystem are obtained. It is shown that our simple double exchange model reveals an instability to the ferromagnetic ordering of localized moments. Magnetic and electric properties of this system on Bethe lattice with z = ∞ are investigated in detail.

机译：本文给出了双重交换的简化模型，它是一种局部磁矩之间的间接交换相互作用。所提出的模型在无限维空间的情况下可以精确求解。获得了单粒子格林函数和局部自旋子系统的磁化强度的方程。结果表明，我们简单的双交换模型揭示了局部矩的铁磁排序的不稳定性。详细研究了z =∞的Bethe晶格上该系统的磁学和电学性质。

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《Zeitschrift fur Physik, B. Condensed Matter》 |1998年第2期|共9页
作者
B. M. Letfulov;
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正文语种 eng
中图分类物理学;
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71.27.+a strongly correlated electron systems; heavy fermions; 68.35.Rh phase transitions and critical phenomena; 72.10.-d theory of electronic transport; scatering mechanisms;

机译：71.27。+ a强相关电子系统;重费米子;68.35.Rh相变和临界现象;72.10.-d电子输运理论;放电机理;

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1. A theory of double exchange in infinite dimensions [J] . B. M. Letfulov Zeitschrift fur Physik, B. Condensed Matter . 1998,第2期

机译：无限维双重交换的理论
2. Short-range ordered phase of the double-exchange model in infinite dimensions [J] . Randy S. Fishman, Florentin Popescu, Gonzalo Alvarez, Physical review. B, Condensed Matter And Materials Physics . 2006,第14期

机译：无限维双交换模型的短程有序相位
3. New infinite-dimensional double symmetry groups for the Einstein-Kalb-Ramond theory [J] . Gao YJ International Journal of Modern Physics, A. Particles and Fields, Gravitation, Cosmology . 2008,第10期

机译：爱因斯坦-卡尔布-拉蒙德理论的新的无限维双对称群
4. Multi/infinite dimensional coding theory: multi/infinite dimensional neural networks: constrained static optimization [C] . Garimella Rama Murthy IEEE Information Theory Workshop . 2002

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5. Infinite Limits of Finite-Dimensional Permutation Structures, and Their Automorphism Groups: Between Model Theory and Combinatorics [D] . Walker Braunfeld, Samuel 2018

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6. Entropy exchange for infinite-dimensional systems [O] . Zhoubo Duan, Jinchuan Hou -1

机译：无限维系统的熵交换
7. Comment on "Spin-Glass Solution of the Double-Exchange Model in Infinite Dimensions" [O] . Kogan, E., Auslender, M. 2006

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A theory of double exchange in infinite dimensions

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