论文标题
在带触摸点的非绝热过渡
Nonadiabatic transition at a band-touching point
论文作者
论文摘要
低能量的汉密尔顿人的能量分散（称为Dirac Hamiltonians）的线性穿越（最近）是激烈的调查的主题。线性色散通常是在丢弃高阶项的带触摸点上能量分散的结果。在本文中，我们表明，就非绝热过渡而言，通过通过接触点，也无法省略某些类型的二次术语，即使在其任意附近，即二次术语也可能会显着影响过渡概率，因此，汉密尔顿人无法将汉密尔顿降低为线性线性。我们进一步表明，大于两个指数的术语的存在仅影响远离接触点的过渡概率。最后，我们讨论可能导致过渡概率概况中振荡的条件。
Low-energy Hamiltonians with a linear crossing in their energy dispersion (dubbed Dirac Hamiltonians) have recently been the subject of intense investigations. The linear dispersion is often the result of an approximation in the energy dispersion at the band-touching point in which higher order terms are discarded. In this paper, we show that, in terms of nonadiabatic transitions, by passing through a touching point, certain types of quadratic terms could not be omitted, even in the arbitrary vicinity of it, ie, quadratic terms could significantly affect the transition probability, hence the Hamiltonian is not reducible to a linear one. We further show that the presence of terms with exponents larger than two only affects the transition probability away from the touching point. In the end, we discuss conditions that may lead to the appearance of oscillations in the transition probability profile.
