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arXiv 2106.11530cond-mat.mes-hall
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过渡金属二硫族化合物的电子空穴束缚态问题

To the problem of electron-hole bound state in transition-metal dichalcogenides

P. A. Krachkov, I. S. Terekhov

摘要:

研究了过渡金属二硫族化合物中电子和空穴的相互作用。为了研究电子和空穴之间的相互作用,我们得到了两个相互作用Dirac粒子的Bethe-Salpeter方程。发现了几个最低的电子和空穴结合能对不同势的相互作用常数的依赖关系,证明了在小距离处势的行为对结合能的值有显著的影响。对于小的相互作用常数,我们发展了计算结合能的微扰方法。对于较大的相互作用常数,结合能的数值。找到了库仑势和指数势相互作用常数的临界值。

英文摘要:

The interacting electron and hole in transition-metal dichalcogenides is considered. For investigation of the interaction between electron and hole we obtain the Bethe-Salpeter equation for two interacting Dirac particles. The dependence of a few lowest binding energies of electron and hole on the interaction constant for different potentials is found. We demonstrate that the behavior of the potential at small distances significantly affects on the values of the binding energies. For small interaction constant we have developed the perturbative method of the binding energy calculation. For the largre interaction constant the binding energies are found numerically. The critical values of the interaction constant for the Coulomb potential and exponential potential are found.

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