论文标题
平均场玻璃的低能激发
Low energy excitations of mean-field glasses
论文作者
论文摘要
我们研究了经过随机一阶转变(RFOT)的均值自由度的典型能量最小值的线性激发。与幼稚的期望相反,线性激发的光谱没有封闭,我们发现存在与具有任意低激发能量的局部激发相对应的伪gap。在景观中移至更深的最小值,激发似乎越来越局部,而它们的丰度则减少。除了典型的最小值外,还存在稀有的超稳定最小值,具有能量隙并且没有局部激发。
We study the linear excitations around typical energy minima of a mean-field disordered model with continuous degrees of freedom undergoing a Random First Order Transition (RFOT). Contrary to naive expectations, the spectra of linear excitations are ungapped and we find the presence of a pseudogap corresponding to localized excitations with arbitrary low excitation energy. Moving to deeper minima in the landscape, the excitations appear increasingly localized while their abundance decreases. Beside typical minima, there also exist rare ultra-stable minima, with an energy gap and no localised excitations.