One-dimensional transient crystals

A phase of solid state matter which exists in time dimension is investigated theoretically for a linear chain of quantum dots or atomic sites using the evolution operator technique and the Laplace transform technique.. The studies focus on the spectral density of states (DOS) function and its modifications after a sudden quench in the system. It is shown that this function reveals a very regular structure which oscillates in time and which corresponds to the stationary DOS of one-dimensional crystals. Thus, such a system stands for a transient crystal material which exists in time dimension but appears only for a short period and suddenly vanishes. Moreover, we observe different impulse propagation velocities due to the local DOS inertia, i.e., it is more difficult to rebuild a many-peaked structure of DOS related to longer chains. We also show that the transient crystal pattern in a linear chain can be observed for real electrodes characterized by the van Hove singularities or by a flat spectral density.

Automated summary

This study investigates a phase of solid state matter existing in the time dimension on a linear chain of quantum dots or atomic sites using the evolution operator technique and the Laplace transform technique. The focus is on the spectral density of states (DOS) function and its modifications after a sudden change in the system. The results show that this function exhibits a regular oscillating structure in time, corresponding to the stationary DOS of one-dimensional crystals. Therefore, this system represents a transient crystal material that exists in the time dimension for a short period and then suddenly disappears. Additionally, different impulse propagation velocities are observed due to the local DOS inertia, making it more difficult to rebuild a multi-peaked DOS structure associated with longer chains. Furthermore, the transient crystal pattern in a linear chain can be observed in real electrodes characterized by van Hove singularities or a flat spectral density.